= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2017 by J.E. Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part VII(b) ( STAT 3400 ----> STAT 3639 ) = = = = = = = = = = = = The COMP-U-STAT System consists of a cluster of more than 3706 = = = = modular programs, providing the analyst with a clear and distinct = = = = scientific and mathematical edge in generating novel and useful = = = = statistical patterns for analyzing trends from random variables. = = = = The following is a glossary describing the functions of all = = = = routines in the sequence. There are many statistical applications = = = = of the COMP-U-STAT cluster. Please see available DEMO Diskettes, = = = = provided upon request, for numerous examples of output files. = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = ========================================================================= * * * GLOSSARY OF COMP-U-STAT PROGRAMS 3400 ---> 3639 * * * ========================================================================= -- L 3400 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS XIII ( VARIANT OF STAT3385, STAT3269, STAT3383, AND STAT3384 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES ) READS A BLOCK OF L0-ELEMENT PERMUTATIONS FROM PERM.INP ON THE ELEMENTS < 1,...,L0> FROM PERM.INP, GENERATING A COMPLETE SET OF K0-ELEMENT EVENTS, DETERMINING THE NUMBER OF ELEMENTS IN EACH EVENT VS. A BASE SET OF STAR EVENTS IN BASE.INP, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS BETWEEN EVENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3400 IS A VARIANT STAT3269, ANALYZING EVENTS WITH EVENTS FILTERED FROM INTO STAT94.INP, STAT94.IN2, AND STAT94.IN3. A GEOMETRIC DISTRIBUTION DETERMINES AND FILTERS [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3400 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3400 READS A SEQUENCE OF PERMUTATIONS FROM PERM.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3400 IS A DERIVATIVE AND VARIANT OF STAT2343 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3400 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3400, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3269 FOR THE TEST EVENT VERSION OF STAT3400. STAT3400 IS A VARIANT OF STAT3385, BUT READS AND PROCESSES A SEQUENCE OF PERMUTATIONS FROM PERM.INP, RATHER THAN A SINGLE PERMUTATION. CF. STAT3398 FOR THE GENERATION OF PERM.INP AS PERM.OUT. ========================================================================= -- L 3401 -- DETERMINES AND PRINTS : 1) A MATRIX INDICATING, FOR EACH EVENT IN A SEQUENCE, THE NUMBER PAIRS OF ELEMENTS WHICH HAVE OCCURRED CONCURRENTLY IN A PRECEDING EVENT, AS WELL AS, THE % OF EVENTS IN WHICH A SET OF SUCH PAIRS OF ELEMENTS OCCURS AND THE AVERAGE # PAIRS PER EVENT 2) A MATRIX OF LONGSHOT AND REPEAT ELEMENTS FOR A SEQUENCE OF EVENTS 3) A FREQUENCY MATRIX FOR REPEATED ELEMENTS AND LONGSHOTS FOR A SEQUENCE OF EVENTS 4) A FREQUENCY TABLE OF HITS FOR NUMBERS vs. # SKIPS SINCE THE LAST HIT FOR A FINAL OR GIVEN EVENT REQUESTED 5) A SKIP-AND-HIT MATRIX , INDICATING THE RELATIVE NUMBER OF EVENTS IN WHICH EACH ELEMENT HAS SKIPPED OR HIT ON A GIVEN DATE 6) FILTERS A SEQUENCE OF WAGERED EVENTS, BASED UPON A PRESCRIBED SEQUENCE OF EVENT TYPES (# LONG SHOT ELEMENTS PLUS # REPEAT ELEMENTS), CHOSEN BY THE ANALYST. (PROCESSES UP TO 50 BASE EVENTS AND 200 TEST EVENTS PER EXECUTION). 7) GENERATES BOTH OUTPUT FILES STAT1990.INP AND STAT2164.INP. 8) INVOKING STAT1938.BAT (BY TYPING STAT1938 AT THE PROMPT) AUTOMATICALLY COPIES THE GENERATED FILE STAT1990.INP INTO D:\STAT1938\STAT1938.IN2. 9) INVOKING STAT2164.BAT (BY TYPING STAT2164 AT THE PROMPT) AUTOMATICALLY COPIES THE GENERATED FILE PERM.OUT INTO D:\STAT2164\PERM.INP. 10) STAT3401 GENERATES STAT2875.INP AS STAT94.INP. STAT3401 IS A VARIANT OF STAT3350, BUT GENERATES THE CUMULATIVE BINARY FILE STAT3260.INP TO BE UTILIZED AS STAT3260.INP IN STAT3260, AS A SEQUENCE OF BLOCKS OF BINARY DIGITS REPRESENTING EVENT-TYPES M1 = 10 * L + R , WHERE L = # LONGSHOT ELEMENTS AND R = # REPEAT ELEMENTS OF A GIVEN STAR EVENT, FOR A SELECTED PAIR , [ L,R ] . ========================================================================= -- L 3402 -- ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF SUMS OR PRODUCTS OF PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER THE ( IMAX x K0 )-DIMENSIONAL STAR EVENT BLOCK, BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL ELEMENTS ) I ( VARIANT AND HYBRID OF STAT3273, STAT543, STAT3258 AND STAT3266 ) READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, AN L0-DIMENSIONAL SEQUENCE OF PROBABILITY WEIGHTS OF ELEMENTS FROM PERM.IN2 WHICH IS GENERATED VIA STAT3246 AS PERM.INP FOR USAGE BY STAT3402 OR STAT3320 AND MAY CONSIST OF GENERIC WEIGHTS FOR L0 ELEMENTS AND AN ARBITRARILY LARGE SEQUENCE OF TRANSLATION EVENTS IN STAT3402.INP. TEST EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OR SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS [*]-QUALIFIED WHENEVER ELEMENT THE SUM OF WEIGHTS OVER K0 COLUMNS EXCEEDS LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3402 IS A VARIANT OF STAT3273. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE NOT DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3402.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS GENERATED FROM PERM.INP FOR WHICH WEIGHTS OF EACH ONE OF THE K0 ELEMENTS LIE IN [ K1,K2 ] U [ K3,K4 ] U [ K5,K6 ] FOR SOME INTEGERS K1,K2,K3,K4,K5, AND K6 SELECTED BY THE ANALYST AND DETERMINED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING THE NEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3091, STAT3258, STAT3266, STAT543, AND STAT3273. ========================================================================= -- L 3403 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT OF STAT2343 ) X COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3403 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3403 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3403 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3403.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF INDEX DISPLACEMENT, IDELTA = CUMULATIVE SUM OF INTERSECTION CARDINALITIES OF A GIVEN EVENT VS. ALL STAR EVENTS, STAT3403 IS A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, STAT2343, AND STAT3149. ========================================================================= -- L 3404 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT OF STAT3403 ) XI COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT FROM STAT3404.INP VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3404 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3404 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3404 READS EACH K0-ELEMENT TEST EVENT FROM STAT3404.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF INDEX DISPLACEMENT, IDELTA = # Trailing 0 INDICES = # STAR INDEX DISPLACEMENTS SINCE THE LAST SUCCESS VS. STAR EVENTS. STAT3404 IS A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, STAT2343, AND STAT3149. ========================================================================= -- L 3405 -- ( RANKS PERMUTATIONS ELEMENTS VIA NHFCNM(L) AS A FUNCTION OF NDSLH(L) ) READS L0-ELEMENT PERMUTATIONS FROM PERM.INP AND DETERMINES A SEQUENCE OF Q(J)-ELEMENT SUB-PERMUTATIONS RANKED IN DESCENDING ORDER OF NHFCNM AS A FUNCTION OF NDSLH FOR EACH ELEMENT L, WHERE NHFCNM(L) = NUMBER OF HITS (OCCURRENCES) OF ELEMENT L FOLLOWING ITS CURRENT NUMBER OF MISSES (SKIPS) OVER THE LAST IMAX STAR EVENTS AND NDSLH(L) = NUMBER OF EVENTS (DRAWINGS) SINCE THE LAST HIT (OCCURRENCE) OF L OVER THE LAST IMAX STAR EVENTS. RANKED ELEMENTS OF SUB-PERMUTATIONS ARE DETERMINED AND RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. CF. EACH ONE OF THE FOLLOWING RELATED ROUTINES: STAT64, STAT55, STAT190, STAT2747, STAT3350, STAT3351, AND STAT3401. THE INPUT FILE PERM.INP, UTILIZED IN STAT3405, IS GENERATED BY STAT64 AS PERM.OUT. ========================================================================= -- L 3406 -- ( GENERATING A FIXED PERMUTATION FROM THE LAST Q0 SELECTED STAR EVENTS AND RANKING ITS ELEMENTS VIA NHFCNM(L) AS A FUNCTION OF NDSLH(L) ) READS AN ( IMAX x K0 )-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP AND GENERATES A FIXED Q0-ELEMENT PERMUTATION FROM THE LAST Q0 SELECTED STAR EVENTS. PERMUTATION ELEMENTS ARE RANKED IN DESCENDING ORDER OF NHFCNM AS A FUNCTION OF NDSLH FOR EACH ELEMENT L, WHERE NHFCNM(L) = NUMBER OF HITS (OCCURRENCES) OF ELEMENT L FOLLOWING ITS CURRENT NUMBER OF MISSES (SKIPS) OVER THE LAST IMAX STAR EVENTS AND NDSLH(L) = NUMBER OF EVENTS (DRAWINGS) SINCE THE LAST HIT (OCCURRENCE) OF L OVER THE LAST IMAX STAR EVENTS. RANKED ELEMENTS OF SUB-PERMUTATIONS ARE DETERMINED AND RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. CF. EACH ONE OF THE FOLLOWING RELATED ROUTINES: STAT3405, STAT64, STAT55, STAT190, STAT2747, STAT3350, STAT3351, AND STAT3401. THE INPUT FILE PERM.INP, UTILIZED IN STAT3406, IS GENERATED BY STAT64 AS PERM.OUT. ========================================================================= -- L 3407 -- ( GENERATING A MEAN OR COMPOSITE PERMUTATION FROM A SEQUENCE OF PMAX PERMUTATIONS FROM EACH ONE OF Q0 DISTINCT COLUMNS ) READS A ( PMAX x Q0 )-DIMENSIONAL BLOCK OF PERMUTATIONS FROM PERM.INP AND GENERATES A MEAN OR COMPOSITE PERMUTATION FROM THE PMAX PERMUTATIONS. THE MEAN ELEMENT IS DETERMINED FROM EACH ONE OF THE Q0 DISTINCT COLUMNS AND THIS SEQUENCE OF 10 MEANS IS RECORDED IN PERM.OUT AS THE COMPOSITE PERMUTATION. THE PERMUTATION MAY CONSIST OF WEIGHTS OR ANY DESIRED METRIC SELECTED BY THE ANALYST. ========================================================================= -- L 3408 -- ( RANKING A SEQUENCE OF Q0 PERMUTATION WEIGHTS IN DESCENDING ORDER OF MAGNITUDE AND RECORDING THE CORRESPONDING ELEMENTS IN DESCENDING ORDER OF CORRESPONDING WEIGHT ) STAT3408 READS A ( PMAX x Q(I) )-BLOCK OR SEQUENCE OF WEIGHTS FROM PERM.INP, < WT(L) > ( L = 1, ... , L0 ), RANKS THE WEIGHTS IN DESCENDING ORDER OF MAGNITUDE, AND RECORDS THE CORRESPONDING ELEMENTS IN DESCENDING ORDER OF RELATED WEIGHT IN PERM.OUT. THE PERMUTATION WEIGHTS MAY CONSIST OF ANY DESIRED METRIC SELECTED BY THE ANALYST. ========================================================================= -- L 3409 -- ( DETERMINING THE (0,1)-BINARY CONFIGURATION FOR EACH STAR EVENT FOR WHICH ELEMENT A(J) IS BOUNDED FROM ABOVE BY ELEMENT AN C(J) FOR J = 1,2, ... , K0 VIA A SEQUENCE OF 5-ELEMENT UPPER BOUND VECTORS ) STAT3409 READS A LARGE SEQUENCE OF K0-ELEMENT UPPER BOUND VECTORS FROM STAT3409.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH UPPER BOUND VECTOR OF STAT3409.INP IS COMPARED WITH THE IMAX STAR EVENTS OF BASE.INP AND A (0,1)-BINARY CONFIGURATION SEQUENCE IS GENERATED. THE RESULTING BLOCK OF CONFIGURATIONS IS RECORDED IN STAT3260.INP FOR USAGE IN STAT3260 AS PERM.INP TO DETERMINE THE GEOMETRIC PROBABILITY OF THE OCCURRENCE OF A SUCCESS ON THE NEXT TRIAL, I.E., TRIAL IMAX. THE HIGHEST RANKING SEQUENCE IN STAT3260.OT2 IS UTILIZED TO SELECT AN OPTIMAL SEQUENCE OF UPPER BOUNDS [ T1 T2 ... TK0 ] TO FILTER TEST EVENTS FROM A LARGE SEQUENCE IN STAT3410.INP. ========================================================================= -- L 3410 -- ( GENERATING ALL [ n C k0 ] K0-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF SUMS OR PRODUCTS OF PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER THE ( IMAX x K0 )-DIMENSIONAL STAR EVENT BLOCK, BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL ELEMENTS ) I ( VARIANT OF STAT3402, STAT3272, STAT543, STAT3258 AND STAT3266 ) STAT3410 READS A SINGLE K0-ELEMENT VECTOR, [ T1,T2, ... ,TK0 ], FROM STAT3410.INP (GENERATED BY STAT3409 AND STAT3260.OT2) , OF UPPER BOUNDS FOR ELEMENTS (T(J),J=1, ... ,K0) , A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, A SINGLE SEQ. OF L0-DIMENSIONAL PROBABILITY WEIGHTS OF ELEMENTS FROM PERM.IN2, WHICH IS GENERATED VIA STAT3246, E.G., AS PERM.INP FOR USAGE BY STAT3410 OR STAT3320 AND MAY CONSIST OF GENERIC WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OR SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS [*]-QUALIFIED WHENEVER THE SUM OF WEIGHTS OVER K0 COLUMNS EXCEEDS PRESCRIBED LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3410 IS A VARIANT OF STAT3273. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE NOT DETERMINED IN REAL-TIME FROM STAT3250. CF. STAT3091, STAT3258, STAT3266, STAT543, AND STAT3273. STAT3409 AND STAT3260 GENERATE THE VECTORS IN STAT3410.INP. ========================================================================= -- L 3411 -- ( GENERATING 10 Q0/2-ELEMENT SUB-PERMUTATIONS FROM A FIXED PERMUTATION OF DIMENSION Q0 WITH 5 PAIRS OF SUB-PERMUTATIONS HAVING REVERSED ORIENTATIONS OF ELEMENT LISTINGS ) STAT3411 READS A FIXED Q0-ELEMENT PERMUTATION OF ORDERED ELEMENTS FROM PERM.INP AND GENERATES 10 SEQUENCES OF Q0/2-ELEMENT SUB- PERMUTATIONS INTO PERM.OUT AND PERM2.OUT FOR FUTURE PROCESSING. SUB-PERMUTATIONS ARE TAKEN FROM THE HEAD, TAIL, AND THEIR UNIONS. PERM.OUT MAY BE UTILIZED AS PERM.INP IN STAT543 OR STAT3301, ET AL. ========================================================================= -- L 3412 -- ( GENERATING A V0-ELEMENT SUB-PERMUTATION FROM A FIXED PERMUTATION OF DIMENSION Q0 BY SELECTING, OVER PRESCRIBED RANGES OF INDICES, A UNION OF SUB-PERMUTATIONS FROM THE TOP, MIDDLE, AND BOTTOM OF OF THE INDICES OF ELEMENTS LISTED FROM THE INPUT PERMUTATION ) ( VARIANT OF STAT3411 ) STAT3412 READS A FIXED Q0-ELEMENT PERMUTATION OF ORDERED ELEMENTS FROM PERM.INP AND GENERATES A V0-ELEMENT SUB-PERMUTATION FROM PERM.INP OF DIMENSION Q0 BY SELECTING, OVER PRESCRIBED RANGES OF INDICES, A UNION OF SUB-PERMUTATIONS FROM THE TOP, MIDDLE, AND BOTTOM OF THE INDICES OF ELEMENTS LISTED FROM THE PERMUTATION IN PERM.INP. THE ANALYST PROVIDES A DESIRED NUMBER OF ELEMENTS TO BE SELECTED FROM THE TOP, MIDDLE, AND BOTTOM OF THE INDICES IN PERM.INP. THE ROUTINE THEN GENERATES THE RESULTING UNION OF SUB-PERMUTATIONS. PERM.OUT MAY BE UTILIZED AS PERM.INP IN STAT543, STAT3121, STAT3301, ET AL. STAT3412 IS A VARIANT OF STAT3411. ========================================================================= -- L 3413 -- ( READS A FIXED FILE OF SUCCESSES VS. FAILURES (OR WINS VS. LOSSES) FOR A GIVEN TEAM OR EVENT AND RE-FORMATS THE OUTCOMES AS A (0,1)-BINARY SEQUENCE FOR ANALYSIS IN STAT3260 ) STAT3413 READS A FIXED FILE IN PERM.INP, OF SUCCESS VS. FAILURES (OR WINS VS. LOSSES) GENERATED BY AN EXTERNAL OR ONLINE SOURCE, FOR A GIVEN TEAM OR EVENT AND RE-FORMATS THE OUTCOMES AS A (0,1)-BINARY SEQUENCE FOR ANALYSIS IN STAT3260, TO DETERMINE THE PROBAILITY THAT THE NEXT SUCCESS WILL OCCUR ON THE NEXT TRIAL, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION, RATHER THAN A NEGATIVE-BINOMIAL DISTRIBUTION. STAT3413 IS A VARIANT OF STAT3260. ========================================================================= -- L 3414 -- ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE THE PROBABILITY THAT AN ARBITRARY EVENT IN A IMAX-ELEMENT SEQUENCE WILL HAVE ITS 1st SUCCESS ON TRIAL # IMAX+1, FOLLOWING THE FINAL TRIAL SINCE THE OCCURRENCE OF THE LAST SUCCESS OVER IMAX STAR EVENT INDICES BY ENTERING SEQUENCES VECTORS OF OCCURRENCE VS. NON-OCCURRENCE VIA THE ANALYST IN REAL-TIME ) ( VARIANT OF STAT3260, STAT3413, AND STAT3318 ) THE ANALYST IS PROMPTED FOR AND ENTERS IN REAL-TIME A SEQUENCE OF IMAX (0,1)-BINARY-VALUED ELEMENTS, REPRESENTING OCCURRENCE VS. NON-OCCURRENCE OF EACH EVENT IN A SEQUENCE, TO DETERMINE THE COMPUTED PROBABILITY OF OCCURRENCE OF THE EVENT ON THE NEXT SUCCESSIVE TRIAL BY DETERMINING THE PROBABILITY THAT THE EVENT WILL HAVE ITS Kth SUCCESS ON TRIAL # IMAX+1, THE FINAL TRIAL, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION, RATHER THAN A NEGATIVE-BINOMIAL DISTRIBUTION. STAT3414 ALSO DETERMINES THE ODDS IN FAVOR OF EACH EVENT E AND THE ODDS AGAINST THE OCCURRENCE OF E. STAT3414 IS A VARIANT OF STAT3260, STAT3413, AND STAT3318. ========================================================================= -- L 3415 -- ( GENERATING LEXICOGRAPHIC K0-ELEMENT EVENTS FROM EACH Q0-ELEMENT PERMUTATION OF A FIXED BLOCK OF PERMUTATIONS BY SELECTING EVENTS WHICH HAVE INDICES CONGRUENT TO 1 (MOD M) FOR SOME INDEX M AUTOMATICALLY COMPUTED IN REAL TIME FOR A SELECTED STEP-SIZE ) ( VARIANT OF STAT3121 ) STAT3415 READS A SEQUENCE OF PERMUTATIONS < P(L,J),J=1,...,ENUM(L) >, L = 1,...,PNUM FROM PERM.INP AND A SEQUENCE OF BMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT3415.INP, GENERATING LEXICOGRAPHIC K0-ELEMENT TRANSLATED EVENTS FROM EACH Q0-ELEMENT PERM IN PERM.INP. THE Q0-ELEMENT PERMUTATIONS MAY BE GENERATED IN STAT2232 , STAT1016, ET AL. STAT3415 IS A VARIANT OF STAT3121, WITH ELEMENTS SELECTED FROM PERM.INP VIA A DESIRED STEP-SIZE CHOSEN BY THE ANALYST. CF. STAT543, STAT618, STAT915, STAT691, STAT2213, STAT2223, AND STAT2312. STAT2312. CF., ESPECIALLY, STAT2233. STAT3415 IS ALSO A VARIANT AND DERIVATIVE OF STAT3032. HOWEVER THE INTEGER , M , TO WHICH THE INDEX OF EACH GENERATED TEST EVENT WILL BE CONGRUENT ( MOD M )' OVER EACH INPUT PERMUTATION IS AUTOMATICALLY DETERMINED BY THE ROUTINE IN REAL TIME, RATHER THAN BEING ENTERED BY THE ANALYST. CF. STAT3032 AND STAT1015. ========================================================================= -- L 3416 -- ( GENERATING K0-ELEMENT EVENTS FROM A BMAX-EVENT BLOCK OF K0-ELEMENT EVENTS BY TRANSLATING ELEMENTS IN EVERY PAIR OF COLUMNS VIA A FIXED SEQUENCE OF 2-ELEMENT TRANSLATION VECTORS ) READS A BMAX-EVENT BLOCK OF K0-ELEMENT EVENTS FROM STAT3416.INP AND A FIXED SEQUENCE OF 2-ELEMENT TRANSLATION VECTORS FROM STAT3417.IN2. A SEQUENCE OF 11 K0-ELEMENT EVENTS IS GENERATED PER INPUT EVENT IN STAT3416.INP BY TRANSLATING ELEMENTS FROM EVERY PAIRS OF COLUMNS VIA THE ENTRIES IN EACH INPUT VECTOR IN STAT3416.INP. GENERATED OUTPUT EVENTS ARE RECORDED IN STAT3416.OUT. ========================================================================= -- L 3417 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) ( VARIANT OF STAT1631 ) STAT3417 READS A LARGE SEQUENCE (E.G., UP TO 10,000 OR MORE INPUT TEST EVENTS) FROM STAT3417.INP AND IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3417.INP IS READ AS A FIXED BLOCK OF K0-ELEMENT EVENTS AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF BLOCKS OF K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE, M0, E.G., M0 = 1 , 2 , 3 , 4 , ... , 100. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT3417 FILTERS TEST EVENTS FROM STAT3417.INP INTO STAT3417.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3417.INP ARE ACCEPTED AS [*]- QUALIFIED IF, | TMAX | .LE. T2 , WHERE TMAX IS THE EXPECTED NUMBER OF STAR INDICES OVER WHICH A [*]-QUALIFYING TEST EVENT SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3417 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3417.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, AN EXTENDED SET OF STAR INDICES ARE USED IN SELECTING QUALIFYING BLOCKS OF TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3417 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3417 USES A SEQUENCE OF CONSECUTIVE INDICES VS. TMAX TO GENERATE THE SPECTRUM OF BLOCKS OF EVENTS WHOSE VALUES OF TMAX MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3417. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT2758. STAT3417 IS A VARIANT OF STAT1631. ========================================================================= -- L 3418 -- ( SELECTING A V0-ELEMENT SUB-BLOCK OF EVENTS FROM A FIXED BLOCK OF K0-ELEMENT EVENTS, OVER PRESCRIBED RANGES OF INDICES, FROM THE TOP, MIDDLE, AND BOTTOM OF INDICES OF EVENTS PRESUMED TO BE LISTED IN LEXICOGRAPHIC ORDER OF SOME FUNCTIONAL VALUE ) ( VARIANT OF STAT3412 ) STAT3418 READS A FIXED BMAX-EVENT BLOCK OF K0-ELEMENT EVENTS FROM STAT3418.INP AND SELECTS A V0-ELEMENT SUB-SUBLOCK OF EVENTS FROM STAT3418.INP BY SELECTING, OVER PRESCRIBED RANGES OF INDICES, A UNION OF SUB-BLOCKS FROM THE TOP, MIDDLE, AND BOTTOM OF THE INDICES OF EVENTS IN STAT3418.INP, PRESUMED TO BE LISTED IN LEXICOGRAPHIC ORDER. THE ANALYST PROVIDES A DESIRED NUMBER OF EVENTS TO BE SELECTED FROM THE TOP, MIDDLE, AND BOTTOM OF THE INDICES IN STAT3418.INP. THE ROUTINE THEN GENERATES THE RESULTING UNION OF SUB-BLOCKS OF EVENTS AND RECORDS THEM IN STAT94.INP AND STAT3418.OUT. STAT3418 IS A VARIANT OF STAT3412, BUT PROCESSES EVENTS, RATHER THAN ELEMENTS OF A FIXED PERMUTATION. ========================================================================= -- L 3419 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS X ( VARIANT OF STAT3269 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3419 IS A VARIANT STAT3269, BUT RANKS EVENTS IN DESCENDING ORDER OR VMAX = REAL(MTC-1) / REAL(KCT) (WHERE MTC-1 IS THE NUMBER OF TRAILING OCCURRENCE ZEROS AND (1 / KCT) IS THE OCCURRENCE CADENCE), RATHER THAN PROBABILITIES, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. STAT3419 UTILIZES A GEOMETRIC DISTRIBUTION TO DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., THOSE EVENTS FOR WHICH THE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3419 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3419 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3419.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF VMAX(I) = REAL(MTC-1) / REAL(KCT) FOR I = 1,2, ... , 500 AND FOR WHICH VMAX .GE. V0 FOR SOME SELECTED LOWER BOUND, V0. Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX IS DETERMINED. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3419 IS A DERIVATIVE AND VARIANT OF STAT2343 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3419 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3419, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. ALSO STAT3269. ========================================================================= -- L 3420 -- ( GENERATING K0-ELEMENT EVENTS FROM A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS BY TACITLY SELECTING SUMS OF UNITS AND TENS DIGITS FROM SCROLLING TRIADS OF EVENTS IN REAL-TIME ) STAT3420 READS A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3420.INP AND GENERATES A SEQUENCE OF K0-ELEMENT EVENTS INTO STAT94.INP BY TACITLY SELECTING SUMS OF UNITS AND TENS DIGITS FROM SCROLLING TRIADS OF EVENTS IN STAT3420.INP, WHICH MAY BE GENERATED BY STAT3419 AS STAT94.INP OR ANOTHER SELECTED ROUTINE. ========================================================================= -- L 3421 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS V ( VARIANT OF STAT3269, STAT2343, STAT3247 AND STAT3419 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A SUBSET OF K0-ELEMENT BLOCKS, PROMPTED FROM THE ANALYST IN REAL-TIME, WITH A FINITE BASE SET OF K0-ELEMENT STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON AND ANALYSIS, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3421 IS A VARIANT STAT3269 AND STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3421 UTILIZES A GEOMETRIC DISTRIBUTION TO DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WITH PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3421 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3421 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3421.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3421 IS A DERIVATIVE AND VARIANT OF STAT3269 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3421 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3421, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. ========================================================================= -- L 3422 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS V ( VARIANT OF STAT3269, STAT2343, STAT3247 AND STAT3419 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A SUBSET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3422 IS A VARIANT STAT3269 AND STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3422 UTILIZES A GEOMETRIC DISTRIBUTION TO DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WITH PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3422 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3422 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3422.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3422 IS A DERIVATIVE AND VARIANT OF STAT3269 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3422 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3422, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. THE BMAX-EVENT INPUT BLOCK IN STAT3422.INP IS PRESUMED TO HAVE SIZE BMAX .LE. 100. ========================================================================= -- L 3423 -- ( GENERATING A HIGHER-PROBABILITY TEST EVENT FROM EACH TEST EVENT OF A FIXED SEQUENCE READ FROM AN INPUT FILE ) I STAT3423 READS A FIXED SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3423.INP WITH CORRESPONDING PROBABILITIES OF SATISFYING A PRESCRIBED CRITERION, AND A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM WITH CORRESPONIDING PROBABITIES OF SATISFYING THE SAME CRITERION IN STAT3412.IN2, GENERATED FROM A ROUTINE SUCH AS STAT3269 AS STAT94.INP. FOR EACH INPUT EVENT OF STAT3423, A CORRESPONDING K0-ELEMENT EVENT HAVING A HIGHER PROBABILITY IS SELECTED FROM STAT3423.IN2 AND THE RESULTING SEQUENCE IS RECORDED IN STAT94.INP AND STAT3423.OUT. CF. STAT3269. STAT3423 IS A VARIANT OF STAT3424, WITH A DESIRED MINIMUM REAL-VALUED DISPLACEMENT, Q0, BETWEEN PROBABILITIES OF INITIAL VS. GENERATED TEST EVENTS. ========================================================================= -- L 3424 -- ( GENERATING A HIGHER-PROBABILITY TEST EVENT (BY A FACTOR OF Q0) FROM EACH TEST EVENT OF A FIXED SEQUENCE READ FROM AN INPUT FILE ) II STAT3424 READS A FIXED SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3424.INP WITH CORRESPONDING PROBABILITIES OF SATISFYING A PRESCRIBED CRITERION, AND A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM WITH CORRESPONIDING PROBABITIES OF SATISFYING THE SAME CRITERION IN STAT3412.IN2, GENERATED FROM A ROUTINE SUCH AS STAT3269 AS STAT94.INP. FOR EACH INPUT EVENT OF STAT3424, A CORRESPONDING K0-ELEMENT EVENT HAVING A HIGHER PROBABILITY IS SELECTED FROM STAT3424.IN2 AND THE RESULTING SEQUENCE IS RECORDED IN STAT94.INP AND STAT3424.OUT. CF. STAT3269. STAT3424 IS A VARIANT OF STAT3423, BUT EVENTS ARE GENERATED WHICH HAVE NEW PROBABILITIES AT LEAST Q0 TIMES THE PROBABILITIES OF CORRESPONDING INITIAL EVENTS FOR SOME DESIRED REAL VALUE Q0. THUS, A NEW EVENT IS DISCOVERED WITH Pr( New EVENT ) = Q0 * Pr( Initial EVENT ). ========================================================================= -- L 3425 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS V ( VARIANT OF STAT3269, STAT2343, STAT3247 AND STAT3419 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3425 IS A VARIANT STAT1030 AND STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3425 UTILIZES A GEOMETRIC DISTRIBUTION TO DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3425 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3425 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3425.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3425 IS A DERIVATIVE AND VARIANT OF STAT2343 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3425 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3425, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. ========================================================================= -- L 3426 -- ( COLUMN RESTRICTED VARIANT OF STAT55 ) STAT3426 COMPUTES AND PRINTS OUT A FREQUENCY CONFIGURATION MATRIX AND A FREQUENCY MATRIX FOR REPEAT ELEMENTS AND LONGSHOTS FOR A SEQUENCE OF EVENTS RESTRICTED TO A SELECTED COLUMN (INDICATING HOW MANY TIMES EACH ELEMENT ( 1 --> K ) "SKIPS" BEFORE IT "HITS" (OCCURS) AGAIN. IT DETERMINES HITS FOR ELEMENTS vs. THE NUMBER OF SKIPS SINCE THE LAST HIT; THE NUMBER OF "SINGLE HITS" SINCE THE LAST "DOUBLE HIT" OVER THE LAST m EVENTS; FREQUENCIES OF LONGSHOT AND REPEAT ELEMENTS FOR A SEQUENCE OF EVENTS, AND THEIR PERCENTAGES OF OCCURRENCE; A TABLE OF SORTED SDH-Ratios(Single-To-Double-Hit Ratios); GENERATES TABLES AND SEQUENCES OF "HOT" ELEMENTS FROM BELOW-AVERAGE SDH-Ratios, FROM SINGLE HITS vs. DOUBLE HITS, AND FROM SDH-Ratios vs. # SINGLE HITS OVER THE LAST M EVENTS; AND, DETERMINES A TABLE OF CONSECUTIVE HITS WITH CORRESPONDING SDH-Ratios, AVERAGES, AND RANKS WITH , e.g. , k = 49 AND M = 100 . STAT3426 IS A VARIANT OF STAT55, RESTRICTED TO A COLUMN SELECTED BY THE ANALYST IN REAL-TIME. ========================================================================= -- L 3427 -- SKIP AND HIT MATRIX IV ( VARIANT OF STAT64 RESTRICTED TO A SELECTED COLUMN ) DETERMINES AND PRINTS OUT THE NUMBER OF TIMES EACH NUMBER ( 1 --> k ) HAS HIT AFTER SKIPPING ONE OR MORE DRAWINGS, i.e., RECORDS THE NUMBER OF TIMES EACH NUMBER ( 1 --> k ) HAS HIT AFTER SKIPPING ANY SPECIFIC NUMBER OF EVENTS BETWEEN OCCURRENCES. PRINTS A TABLE OF SORTED SDH Ratios (Single-To-Double-Hit Ratios) AND DSH Ratios (Double-To-Single-Hit Ratios) , AND GENERATES A SEQUENCE OF HIGH PROBABILITY ELEMENTS WITH SDH Ratios NOT EXCEEDING THE AVERAGE SDH Ratio , BACKING UP A SPECIFIED NUMBER OF EVENTS FROM THE FINAL EVENT WITH , e.g., k = 49. STAT3427 ALSO GENERATES THE INPUT FILE STAT1048.IN2. CF. STAT1048. CF. ALSO STAT3427 FOR GENERATION OF PERMUTATIONS FOR PERM.INP. STAT3427 GENERATES THE INPUT FILE STAT1048.IN2. CF. STAT1048. STAT3427 ALSO GENERATES THE INPUT FILE PERM.INP FOR STAT1824. CF. ALSO STAT543 AND STAT1401 FOR APPLICATIONS OF PERM.INP. PERM.INP IS GENERATED BY STAT3427 FOR USAGE AS PERM.INP IN STAT1274 STAT1274 AND STAT1824. PERM.OUT IS GENERATED BY STAT3427 FOR USAGE AS PERM.INP IN STAT1854. STAT3427 IS A VARIANT OF STAT2903. CF. STAT2903. PERM.INP IS GENERATED FOR STAT3086. STAT3427 IS A VARIANT OF STAT64 WITH COMPUTATIONS RESRICTED TO A COLUMN SELECTED BY THE ANALYST. A CUMULATIVE FILE OF SEQUENCES OF ELEMENTS RANKED IN DESCENDING ORDER OF NHOFCNM(L) IS RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. ========================================================================= -- L 3428 -- ( GENERATING K0-ELEMENT EVENTS FROM A SEQUENCE OF PAIRS OF K0-ELEMENT TENS DIGITS ALTERNATING WITH K0-ELEMENT UNITS DIGITS ) STAT3428 READS A SEQUENCE OF PAIRS OF K0-ELEMENT VECTORS OF TENS DIGITS ALTERNATING WITH VECTORS OF K0-ELEMENT UNITS DIGITS FROM STAT3428.INP, ( T(J), J = 1, ... ,K0 UNION U(J), J = 1, ... ,K0) AND GENERATES K0-ELEMENT EVENTS OF THE FORM: ( C(J), J = 1, ... ,K0 , WHERE C(J) = 10*T(J) + U(J), J = 1,2, ... ,K0 ), INTO STAT94.INP. ========================================================================= -- L 3429 -- ( GENERATING A SEQUENCE OF IMAX UNITS DIGIT VECTORS AND A SEQUENCE OF IMAX TENS DIGIT VECTORS FROM A SEQUENCE OF EITHER K0-ELEMENT TEST EVENTS OR K0-ELEMENT STAR EVENTS ) I STAT3429 READS A BASE SET OF IMAX TEST EVENTS OR STAR EVENTS FROM STAT3429.INP AND GENERATES A SEQUENCE OF IMAX TENS DIGIT VECTORS INTO STAT3430.IN2 AND A SEQUENCE OF IMAX UNITS DIGIT VECTORS INTO STAT3430.IN3 FOR FURTHER ANALYSIS BY EITHER STAT3430 OR STAT3428. ========================================================================= -- L 3430 -- ( GENERATING BIPARTITE K0-ELEMENT EVENTS FROM A SEQUENCE OF K0-ELEMENT TENS DIGIT VECTORS VS. A SEQUENCE OF VECTORS OF K0-ELEMENT UNITS DIGIT VECTORS ) STAT3430 READS A SEQUENCE OF IMAX K0-ELEMENT TENS DIGIT VECTORS FROM STAT3430.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT UNITS DIGIT VECTORS FROM STAT3430.IN3 BOTH GENERATED VIA STAT3429. THE ROUTINE THEN GENERATES BIPARTITE K0-ELEMENT EVENTS FROM THE PAIRED SEQUENCES AND RECORDS THE EVENTS IN STAT94.INP FOR FURTHER ANALYSIS. THE VECTORS ( T(J), J = 1, ... ,K0 ) FROM STAT3430.IN2 VS. THE THE VECTORS ( U(J), J = 1, ... ,K0 ) FROM STAT3430.IN3 ARE UTILIZED TO GENERATE TEST EVENTS OF THE FORM ( C(J), J = 1, ... ,K0 , WHERE C(J) = 10*T(J) + U(J), J = 1,2, ... ,K0 ), AND RECORDED IN STAT94.INP. STAT3430 IS A VARIANT OF STAT3428, BUT UTILIZES THE VECTORS GENERATED BY STAT3429 AS STAT3430.IN2 AND STAT3430.IN3. ========================================================================= -- L 3431 -- ( READS A SEQUENCE OF PAIRS (A(N),B(N)), WHERE A(N) AND B(N) ARE SELECTED POSITIVE INTEGERS, GENERATES THE GCD( A(N),B(N) ), THE GREATEST COMMON DIVISOR OF A(N) AND B(N), AND DETERMINES, FOR EACH PAIR, WHETHER OR NOT A(N) AND B(N) ARE RELATIVELY PRIME ) STAT3431 READS A SEQUENCE OF PAIRS OF ELEMENTS (A(N),B(N)), N = 1 , ... , BMAX FROM STAT3431.INP, GENERATES (FOR EACH PAIR) THE GCD( A(N),B(N) ), THE GREATEST COMMON DIVISOR OF A(N) AND B(N), AND DETERMINES WHETHER OR NOT EACH PAIR IS RELATIVELY PRIME. THE RESULTS ARE RECORDED IN STAT3431.OUT FOR FURTHER ANALYSIS. BMAX CAN ASSUME ANY DESIRED POSITIVE VALUE IN STAT3431.INP. ========================================================================= -- L 3432 -- ( DETERMINING THE (0,1)-BINARY CONFIGURATION FOR EACH STAR EVENT FOR WHICH ELEMENT A(J) IS BOUNDED FROM ABOVE AND BELOW BY ELEMENTS [C(J),D(J)] FOR J = 1,2, ... , 5 VIA A SEQUENCE OF 2*K0-ELEMENT LOWER AND UPPER BOUND VECTORS ) ( VARIANT OF STAT3409 ) STAT3432 READS A LARGE SEQUENCE OF 2*K0-ELEMENT LOWER/UPPER BOUND VECTORS FROM STAT3432.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH LOWER/UPPER BOUND VECTOR OF STAT3432.INP IS COMPARED WITH THE IMAX STAR EVENTS OF BASE.INP AND A (0,1)-BINARY CONFIGURATION SEQUENCE IS GENERATED. THE RESULTING BLOCK OF CONFIGURATIONS IS RECORDED IN STAT3260.INP FOR USAGE IN STAT3260 AS PERM.INP TO DETERMINE THE GEOMETRIC PROBABILITY OF THE OCCURRENCE OF A SUCCESS ON THE NEXT TRIAL, I.E., TRIAL IMAX. THE HIGHEST RANKING SEQUENCE IN STAT3260.OT2 IS UTILIZED TO SELECT AN OPTIMAL SEQUENCE OF LOWER/UPPER BOUNDS [ T1 T2 T3 ... TK0] TO FILTER TEST EVENTS FROM A LARGE SEQUENCE IN STAT3410.INP. STAT3432.INP MAY BE GENERATED VIA STAT12 2*K0 = 10 OR 12. STAT3432 IS A VARIANT OF STAT3409. ========================================================================= -- L 3433 -- ( GENERATING ALL [ n C k0 ] K0-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF SUMS OR PRODUCTS OF PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER THE ( IMAX x K0 )-DIMENSIONAL STAR EVENT BLOCK, BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL ELEMENTS ) I ( VARIANT OF STAT3410 STAT3402, STAT3272, STAT3258 AND STAT3266 ) STAT3433 READS A SINGLE 2*K0-ELEMENT VECTOR, [ T1,T2, ... ,T2K0 ], FROM STAT3433.INP (GENERATED BY STAT3409 AND STAT3260.OT2), OF PAIRS OF LOWER/UPPER BOUNDS FOR ELEMENTS (T(J),J=1, ... ,2*K0) , A SINGLE Q0-ELT.PERM FROM PERM.INP, A SINGLE SEQ. OF L0-DIM. PROBABILITY WEIGHTS OF ELEMENTS FROM PERM.IN2, WHICH IS GENERATED VIA STAT3246, E.G., AS PERM.INP FOR USAGE BY STAT3433 OR STAT3320 AND MAY CONSIST OF GENERIC WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OR SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS [*]-QUALIFIED WHENEVER THE SUM OF WEIGHTS OVER K0 COLUMNS EXCEEDS PRESCRIBED LOWER/UPPER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3433 IS A VARIANT OF STAT3410 AND STAT3273. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE NOT DETERMINED IN REAL-TIME FROM STAT3250. CF. STAT3091, STAT3258, STAT3266, STAT543, AND STAT3273. STAT3409 AND STAT3260 GENERATE THE VECTORS IN STAT3433.INP. ========================================================================= -- L 3434 -- ( DETERMINING THE (0,1)-BINARY CONFIGURATION FOR EACH STAR EVENT FOR WHICH ELEMENT A(IMAX,ICOL) IS BOUNDED FROM ABOVE AND BELOW BY ELEMENTS [C(J),D(J)] (FOR J = 1,2) FOR SOME SELECTED COLUMN, ICOL, AND FOR STAR EVENT INDICES IN THE RANGE [ 1,IMAX ], VIA A SEQUENCE OF 2-ELEMENT LOWER AND UPPER BOUND VECTORS ) ( VARIANT OF STAT3432 ) II STAT3434 GENERATES A SEQUENCE OF 2-ELEMENT LOWER/UPPER BOUND VECTORS INTO STAT3434.INP AND READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. FOR A SELECTED STAR EVENT COLUMN, ICOL, EACH LOWER/UPPER BOUND VECTOR OF STAT3434.INP IS COMPARED WITH THE IMAX STAR EVENTS OF BASE.INP AND A (0,1)-BINARY CONFIGURATION SEQUENCE IS GENERATED. THE RESULTING BLOCK OF CONFIGURATIONS IS RECORDED IN STAT3260.INP FOR USAGE IN STAT3260 AS STAT3260.INP TO DETERMINE THE GEOMETRIC PROBABILITY OF THE OCCURRENCE OF A SUCCESS ON THE NEXT TRIAL, I.E., TRIAL IMAX. THE HIGHEST RANKING SEQUENCE IN STAT3260.OT2 IS UTILIZED TO SELECT AN OPTIMAL SEQUENCE LOWER/UPPER BOUNDS [ T1 T2 ] FOR EACH SELECTED COLUMN, ICOL, TO FILTER TEST EVENTS FROM A LARGE SEQUENCE IN STAT3410.INP. STAT3434 IS A VARIANT OF STAT3432. ========================================================================= -- L 3435 -- ( GENERATING BIPARTITE K0-ELEMENT EVENTS FROM A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS VS. A SEQUENCE OF IMAX STAR EVENTS ) II (VARIANT OF STAT3430 ) STAT3435 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3435.INP. A SEQUENCE OF (IMAX-1) K0-ELEMENT DISPLACEMENT VECTORS, V(J) = A(I,J) - A(I-1,J) , J = 1, ... , K0 AND I = 2, ... , IMAX IS GENERATED FROM BASE.INP. SUBSEQUENTLY, A SEQUENCE OF VECTORS W(J) = -1*V(J) IS ADDED TO EACH K0-ELEMENT EVENT OF STAT3435.INP TO GENERATE AN ADDITIONAL BIPARTITE SET OF K0-ELEMENT TEST EVENTS, WHICH ARE RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. STAT3435 IS A VARIANT OF STAT3430. ========================================================================= -- L 3436 -- ( TRANSFORMING BMAX FUNCTIONAL VALUES IN EACH ONE OF K0-COLUMNS OF A (BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS INTO A (0,1)- BINARY SEQUENCE FOR ANALYSIS IN STAT3260, STAT3608, OR STAT3615 ) STAT3436 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A (BMAX x K0)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3436.INP. EACH ONE OF THE COLUMNS OF STAT3436.INP IS EXPRESSED AS A BMAX-DIMENSIONAL VECTOR OF ELEMENTS, , L= 1, ... , BMAX AND THE ELEMENTS ARE TRANSFORMED INTO A (0,1)-SEQUENCE OF BINARY ELEMENTS FOR ANALYSIS AS STAT3260.INP TO DETERMINE THE PROBABILITY THAT EACH F(L) WILL OCCUR ON THE NEXT TRIAL, I.E., TRIAL BMAX+1. STAT3436.INP MAY BE BASE.INP OR GENERATED BY STAT3435 AS STAT3436.INP. STAT3436 ALSO GENERATES THE FILES UNITSDIG.INP AND TENSDIG.INP (DETERMINED FROM THE UNITS DIGITS AND TENS DIGITS OF EVENTS FROM BASE.INP) FOR USAGE AS INPUT FILES IN STAT3681 AND, SUBSEQUENTLY, IN STAT3682. STAT3436 ALSO GENERATES THE THE OUTPUT FILES TDGE4.INP, UDGE5.INP, UDODD.INP, HIGH.INP, AND TDODD.INP FOR FURTHER ANALYSIS IN STAT3683 AND, SUBSEQUENTLY, IN STAT3260 AS STAT3260.INP. CF. ALSO STAT3683. K0-ELEMENT EVENTS ARE COMPUTED AS COMPLEMENTS OF K0-ELEMENT STAR EVENTS FROM BASE.INP WITH RESPECT TO L0+1) AND RECORDED IN BASECOMP.OUT, FOR FURTHER ANALYSIS. ========================================================================= -- L 3437 -- ( RE-ARRANGING THE ROWS OF A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS IN REVERSE ORDER FROM EVENT 1 TO EVENT BMAX ) STAT3437 READS A (BMAX x K0)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3437.INP AND RE-ARRANGES THE ROWS IN REVERSE ORDER FROM EVENT 1 EVENT BMAX. THE TRANSFORMED ARRAY IS RECORDED IN STAT3437.OUT, WITH BMAX PRESUMED TO HAVE A MAXIMUM VALUE OF 1000. ========================================================================= -- L 3438 -- ( GENERATES A SEQUENCE OF K0-ELEMENT DISPLACEMENT VECTORS FROM A SEQUENCE OF K0 PAIRS OF ROW INDEX ELEMENTS AND A (BMAX x K0)- DIMENSIONAL MATRIX OF DISPLACEMENTS ) STAT3438 READS A SEQUENCE OF K0 PAIRS OF ROW INDEX VECTORS FROM STAT3438.IN2 AND A (BMAX x K0)-DIMENSIONAL MATRIX OF DISPLACEMENTS FROM STAT3438 GENERATED BY STAT3434 AND STAT3260, GENERATING A A SEQUENCE OF K0-ELEMENT VECTOR DISPLACEMENTS TO BE UTILIZED IN STAT2064 AS STAT2064.IN2. ========================================================================= -- L 3439 -- ( DETERMINING A TYPE CONFIGURATION FOR FURTHER ANALYSIS, CONSISTING QUADRUPLE COMBINATIONS OF TYPES DETERMINED FROM THE 8 PAIRS : 1) UDE 2) UDO 3) LOW 4) HIGH 5) TDE 6) TDO 7) UDLE4 , AND 8) UDGT4 FOR EACH ELEMENT L IN THE SEQUENCE < 1, 2, ... , L0 > AND FOR EACH ELEMENT IN AN (IMAX x K0)- DIMENSIONAL MATRIX OF STAR EVENT ELEMENTS ) STAT3439 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP, DETERMINING A TYPE CONFIGURATION FOR FURTHER ANALYSIS, CONSISTING QUADRUPLE COMBINATIONS OF TYPES DETERMINED FROM THE 8 PAIRS : 1) UDE 2) UDO 3) LOW 4) HIGH 5) TDE 6) TDO 7) UDLE4 , AND 8) UDGT4 FOR EACH ELEMENT L IN THE SEQUENCE < 1, 2, ... , L0 > AND FOR EACH ELEMENT IN AN (IMAX x K0)- DIMENSIONAL MATRIX OF STAR EVENT ELEMENTS. A FILE OF TYPES OVER ALL K0-COLUMNS IS RECORDED IN STAT3436.INP FOR FURTHER ANALYSIS BY STAT3436. IMAX HAS AN UPPER BOUND VALUE OF 600. STAT3439 IS A VARIANT OF STAT2748. STAT3439 ANALYZES ELEMENTS BY THE CHARACTERISTICS: UDE ====> UNITS DIGIT IS EVEN UDO ====> UNITS DIGIT IS ODD L ====> ELEMENT IS LOW (.LE. L0/2) H ====> ELEMENT IS HIGH (.GT. L0/2) TDE ====> TENS DIGIT IS EVEN TDO ====> TENS DIGIT IS ODD UDLE4 ====> UNITS DIGIT IS .LE. 4 UDGT4 ====> UNITS DIGIT IS .GT. 4 ========================================================================= -- L 3440 -- (FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS AND RESTRICTED BY THE SELECTION OF TEST EVENTS WITH A MINIMUM NUMBER, TMIN, OF ELEMENT TYPES MATCHING A DESIRED VECTOR OF TYPES) ( VARIANT OF STAT3086 ) STAT3440 READS A REAL-TIME VECTOR OF ELEMENT TYPES FROM THE ANALYST, READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3440.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM PERM.INP ( GENERATED VIA STAT2916, AS PERM.OUT OR FROM STAT1015 AS PERM2.INP OR FROM STAT64 AS PERM.OUT OR FROM STAT172 OR FROM STAT1015 AS PERM2.INP , E.G. ) AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN THE SEQUENCE < 1, 2 , ... , L0 > FROM BASE.INP. PERM.INP MAY ACTUALLY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS COMPUTED FOR THE L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3440.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ITS WEIGHT SUM OVER K0 ELEMENTS EXCEEDS A DESIRED LOWER BOUND SELECTED IN REAL-TIME BY THE ANALYST. AND LESS THAN OR EQUAL TO A DESIRED OR SELECTED MAXIMUM SUM, W1. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. THE WEIGHTS IN PERM.INP MAY ALSO BE GENERATED AS PERM.INP IN STAT3246. STAT3440 IS A VARIANT OF STAT3086. ========================================================================= -- L 3441 -- ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF SUMS OR PRODUCTS OF PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER THE ( IMAX x K0 )-DIMENSIONAL STAR EVENT BLOCK, BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL ELEMENTS AND RESTRICTED BY THE SELECTION OF TEST EVENTS WITH A MINIMUM NUMBER, TMIN, OF ELEMENT TYPES MATCHING A DESIRED VECTOR OF TYPES ) I ( VARIANT OF STAT3272, STAT3402, STAT543, STAT3258 AND STAT3266 ) READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, A SEQUENCE OF L0-DIMENSIONAL PROBABILITY WEIGHTS OF ELEMENTS FROM PERM.IN2 WHICH IS GENERATED VIA STAT3246, E.G., AS PERM.INP FOR USAGE BY STAT3441 OR STAT3320 AND MAY CONSIST OF GENERIC WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OR SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS [*]-QUALIFIED WHENEVER ELEMENT THE SUM OF WEIGHTS OVER K0 COLUMNS EXCEEDS LOWER BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3441 IS A VARIANT OF STAT3272. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE NOT DETERMINED IN REAL-TIME FROM STAT3250. CF. STAT3091, STAT3258, STAT3266, STAT543, AND STAT3273. STAT3441 IS A VARIANT OF STAT3272, RESTRICTED BY THE SELECTION OF TEST EVENTS WITH A MINIMUM NUMBER, TMIN, OF ELEMENT TYPES WHICH MATCH A DESIRED VECTOR OF TYPES SUBMITTED IN REAL-TIME BY THE ANALYST. CF. ALSO STAT3440 FOR FILTERING EVENTS FROM A LARGE BLOCK OF TEST EVENTS. ========================================================================= -- L 3442 -- ( FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF SCALED PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA AN (L0 x K0)-DIMENSIONAL SCALED PROBABILITY MATRIX GENERATED BY STAT3250 AS STAT3258.IN3 AND RESTRICTED BY THE SELECTION OF TEST EVENTS WITH A MINIMUM NUMBER, TMIN, OF ELEMENT TYPES MATCHING A DESIRED VECTOR OF TYPES. STAT3440 READS A REAL-TIME VECTOR OF ELEMENT TYPES FROM THE ANALYST ) ( VARIANT OF STAT3266 ) IV READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3442.INP, AN (L0 x K0)- BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3442.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3258.IN3 FOR USAGE BY STAT3442, AND A SEQUENCE OF IMAX K0-ELEMENT K0-ELEMENT STAR EVENTS FROM BASE.INP. TEST EVENTS ARE FILTERED FROM STAT3442.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER THE SUM OF PROBABILITY WEIGHTS OVER K0 COLUMNS EXCEEDS A LOWER BOUND Q0 SELECTED IN REAL-TIME BY THE ANALYST. STAT3442 IS A VARIANT OF STAT3266. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3442.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS FILTERED FROM STAT3442.INP FOR WHICH WT_SUMS OF ALL K0 ELEMENT EVENTS EXCEED OR EQUAL A DESIRED LOWER BOUND, PMIN. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. CF. ALSO STAT3250, STAT3258, STAT3266, AND STAT3091. ========================================================================= -- L 3443 -- GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF SUMS OR PRODUCTS OF SCALED PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER THE ( IMAX x K0 )-DIMENSIONAL STAR EVENT BLOCK, BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL ELEMENTS IN THE K0 SEPARATE COLUMNS AND RESTRICTED BY THE SELECTION OF TEST EVENTS WITH A MINIMUM NUMBER, TMIN, OF ELEMENT TYPES MATCHING A DESIRED VECTOR OF TYPES. STAT3440 READS A REAL-TIME VECTOR OF ELEMENT TYPES FROM THE ANALYST. VI ( VARIANT AND HYBRID OF STAT3273, STAT543, STAT3258 AND STAT3266 ) READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, AN (L0 x K0) - DIMENSIONAL BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3443.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3258.IN3 FOR USAGE BY STAT3443 OR STAT3320 AND MAY CONSIST OF GENERIC WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF PRODUCTS OR SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS [*]-QUALIFIED WHENEVER ELEMENT THE SUM OF WEIGHTS OVER K0 COLUMNS EXCEEDS A DESIRED LOWER BOUND, J1, SELECTED BY THE ANALYST. STAT3443 IS A VARIANT OF STAT3272 AND STAT3266. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3443.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS GENERATED FROM PERM.IN AND STAT3443.IN3 FOR WHICH THE SUM OR PROUCT OF THE K0 WEIGHTS IS .GT.0. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING THE NEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3091, STAT3258, STAT3266, STAT543, AND STAT3273. ========================================================================= -- L 3444 -- GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A ( K0 x ENUM(I) )- DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS, WHERE THE K0 ROWS ARE DISTINCT, AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF SUMS OF PROBABILITY WEIGHTS OF ALL K0 ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS, BASED UPON A NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA LOWER AND UPPER BOUND WEIGHT-SUMS FOR K0-ELEMENT EVENTS AND RESTRICTED BY THE SELECTION OF TEST EVENTS WITH A MINIMUM NUMBER, TMIN, OF ELEMENT TYPES MATCHING A DESIRED VECTOR OF TYPES STAT3440 READS A REAL-TIME VECTOR OF ELEMENT TYPES FROM THE ANALYST. VIII ( VARIANT AND HYBRID OF STAT3288, STAT543, STAT3258 AND STAT3266 ) READS A ( K0 x ENUM(I) )-DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS, WHERE THE K0 ROWS ARE DISTINCT, AN ( L0 x K0 )-DIMENSIONAL BLOCK OF PROBABILITY WEIGHTS OF ELEMENTS FROM STAT3444.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3444.IN3 FOR USAGE BY STAT3444, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. STAT3444.IN3 MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3444.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER THE SUM OF ELEMENT WEIGHTS OVER ALL COLUMNS LIES WITHIN [J1,J2] SELECTED IN REAL-TIME BY THE ANALYST. STAT3444 IS A VARIANT OF STAT3272. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3444.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS FILTERED FROM STAT3444.INP FOR WHICH WEIGHTS OF ALL K0 ELEMENTS LIE IN A RANGE OF PROBABILITIES BETWEEN TWO VECTOSS V1 = < P1, P2, P3, ..., PK0 > AND V2 = < Q1, Q2, Q3, ... , QK0 > IN PROB.INP. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP, BUT ARE GENERATED DIRECTLY FROM PERM.INP BY SELECTING AND ANALYZING THE NEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. CF. STAT3277, STAT3091, STAT3258, STAT3266, STAT543, AND STAT3444. ========================================================================= -- L 3445 -- ( GENERATING LEXICOGRAPHIC K0-ELEMENT EVENTS FROM EACH ENUM(I)- ELEMENT PERMUTATION OF A FIXED BLOCK OF K0 PERMUTATIONS BY SELECTING EVENTS WHICH HAVE INDICES CONGRUENT TO 1 (MOD M) WHERE M = THE PRODUCT OF THE ENUM(I), FOR I = 1, 2, ... , K0 ) II ( VARIANT OF STAT3212 ) STAT3445 READS A SEQUENCE OF PERMUTATIONS < P(L,J),J=1,...,ENUM(L) >, L = 1,...,K0, FROM PERM.INP AND A SEQUENCE OF BMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT3445.INP, A SEQUENCE OF FUNCTIONAL VALUES IN STAT3445.IN2, REPRESENTING BLOCK-SIZES OF EVENTS TO BE FILTERED FROM PERM.INP, GENERATING LEXICOGRAPHIC EVENTS (BASED UPON DESIRED COMBINATIONS SUCH AS PRIMES, EVEN, ODD, ETC.) WHICH ARE, OPTIONALLY, TRANSLATED BY TRANSLATION VECTORS OF STAT3445.INP. PERMUTATIONS MAY BE GENERATED BY STAT2232 , STAT3260, ET AL. STAT3445 IS A VARIANT OF STAT3212. HOWEVER, EACH ONE OF K0 ELEMENTS PER EVENT IS SELECTED FROM ENUM(I) POSSIBLE ELEMENTS OVER THE K0 INPUT PERMUTATIONS IN PERM.INP FOR WHICH THE CYCLE INDEX IS CONGRUENT (MOD 1) TO THE PRODUCT OF THE ENUM(I), FOR EACH I = 1, 2, ... , K0. CF. STAT3121, STAT3155, STAT3168, STAT543, STAT618, STAT915, STAT691, STAT2213, STAT2223, STAT2312, AND STAT2233. STAT3445 IS ALSO A VARIANT AND DERIVATIVE OF STAT3032. HOWEVER THE INTEGER , M , TO WHICH THE INDEX OF EACH GENERATED TEST EVENT WILL BE CONGRUENT ( MOD M ) OVER THE BLOCK OF K0 INPUT PERMUTATIONS IS AUTOMATICALLY DETERMINED BY THE ROUTINE IN REAL TIME, RATHER THAN BEING ENTERED BY THE ANALYST. CF. ALSO STAT3032 AND STAT1015. ========================================================================= -- L 3446 -- ( GENERATING LEXICOGRAPHIC K0-ELEMENT EVENTS FROM EACH ENUM(I)- ELEMENT PERMUTATION OF A FIXED BLOCK OF K0 PERMUTATIONS BY SELECTING EVENTS WHICH HAVE INDICES MATCHING THE CORRESPONDING INDICES OF EACH VECTOR IN A SEQUENCE OF K0-ELEMENT INDEX VECTORS ) STAT3446 READS A SEQUENCE OF PERMUTATIONS < P(L,J),J=1,...,ENUM(L) >, L = 1,...,K0, FROM PERM.INP , A SEQUENCE OF BMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT3446.INP, AND A SEQUENCE OF K0-ELEMENT INDEX VECTORS IN STAT3446.IN2 ON Q0 ELEMENTS, GENERATING A SEQUENCE OF K0-ELEMENT TRANSLATED EVENTS FROM EACH Q0-ELEMENT PERM IN PERM.INP. THE Q0-ELEMENT PERMUTATIONS MAY BE GENERATED IN STAT2232 , STAT1016, ET AL. STAT3446 IS A VARIANT OF STAT3212. HOWEVER, EACH ONE OF K0 ELEMENTS PER EVENT IS SELECTED FROM ENUM(I) POSSIBLE ELEMENTS OVER THE K0 INPUT PERMUTATIONS IN PERM.INP FOR WHICH THE INDICES MATCH THE CORRESPONDING INDICES OF EACH VECTOR IN A SEQUENCE OF K0-ELEMENT VECTORS IN STAT3446.IN2. CF. STAT3212, STAT3121, STAT3155, STAT3168, STAT543, STAT618, STAT915, STAT691, STAT2213, STAT2223, STAT2312, STAT2233, STAT3032 AND STAT1015. THE DIMENSION OF EACH PERMUTATION SUBSEQUENCE IN PERM.INP IS PRESUMED TO BE A CONSTANT Q0 = ENUM(L), FOR EACH L, L = 1, ... , K0. ========================================================================= -- L 3447 -- ( SELECTING AND TRANSLATING COLUMN VECTORS FROM A ( BMAX x K0 ) - DIMENSIONAL MATRIX AND UTILIZING THE VECTORS TO GENERATE K0-ELEMENT TEST EVENTS FROM (K0-2) BMAX-ELEMENT VECTORS ) STAT3447 READS A (BMAX x K0)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3447.INP, A SEQUENCE OF 3-DIMENSIONAL TRANSLATION VECTORS FROM STAT3447.IN2. THE TRANSLATED COLUMN VECTORS FROM STAT3447.INP ARE UTILIZED TO GENERATE K0-ELEMENT TEST EVENTS IN STAT3447.OUT FROM (K0-2) BMAX-ELEMENT VECTORS. GENERATED TEST EVENTS ARE RECORDED IN STAT3447.OUT AND STAT94.INP. A MATRIX OF STAR EVENTS MAY BE UTILIZED AS STAT3447.INP. ========================================================================= -- L 3448 -- DETERMINING WEIGHTS OF EACH ELEMENT L FROM A GENERIC SEQUENCE OF FUNCTIONAL VALUES, < F(L) > , L = 1, 2, ... , L0 , BASED UPON A DETERMINED GAUSSIAN DISTRIBUTION FOR THE < F(L) > STAT3448 READS AN ( IMAX x K0)-DIMENSIONAL MATRIX OF STAR EVENTS IN BASE.INP, NMAX GENERIC SEQUENCES OF FUNCTIONAL VALUES FROM PERM.INP ON , L = 1, 2, ... , L0 AND ASSIGNS, VIA A GAUSSIAN OR NORMAL DISTRIBUTION, A SEQUENCE OF WEIGHTS TO EACH ELEMENT L , L = 1, ... , L0. THE FUNCTIONAL VALUES MAY BE, E.G., FREQUENCIES, NHOACNM, NDSLH, ET AL, GENERATED FROM OTHER ROUTINES. ( < WT(L) > , L = 1, ... , L0 ) ARE RECORDED IN PERM.OUT FOR ELEMENTS ARE ALSO SORTED BY FREQUENCY, ARRANGED IN DESCENDING ORDER OF FREQUENCY, AND RECORDED IN PERM2.OUT FOR FURTHER ANALYSIS IN OTHER ROUTINES, E.G., STAT3086 OR STAT3272. STAT3448 IS A VARIANT OF STAT3218. ========================================================================= -- L 3449 -- ( RE-DEFINING THE EVENTS OF A (BMAX x K0)-DIMENSIONAL MATRIX BY SWITCHING ELEMENTS IN COLUMNS 2 AND 6 OF CURRENT ROW R AND ALSO SWITCHING TENS DIGITS IN COLUMN 4 BETWEEN CURRENT ROW R AND PRECEDING ROW (R-2) ) STAT3449 READS A (BMAX x K0)-DIMENSIONAL MATRIX OF TEST EVENTS FROM STAT3449.INP AND RE-DEFINES THE EVENTS BY SWITCHING ELEMENTS IN COLUMNS 2 AND 6 OF CURRENT ROW R. THE ROUTINE ALSO SWITCHES TENS DIGITS BETWEEN CURRENT ROW R AND PRECEDING ROW (R-2) OF COLUMN 4. STAT3449.INP MAY CONTAIN UP T0 1000 EVENTS. GENERATED TEST EVENTS ARE RECORDED IN STAT94.INP. ========================================================================= -- L 3450 -- ( RE-DEFINING THE EVENTS OF A (BMAX x K0)-DIMENSIONAL MATRIX BY SWITCHING ELEMENTS IN COLUMNS C1 AND C2 OF CURRENT ROW R AND ALSO SWITCHING TENS DIGITS IN COLUMN C3 BETWEEN CURRENT ROW R AND PRECEDING ROW (R-2) ) STAT3450 READS A (BMAX x K0)-DIMENSIONAL MATRIX OF TEST EVENTS FROM STAT3450.INP, A SEQUENCE OF COLUMN-INDEX VECTORS, , FROM STAT3450.IN2 AND RE-DEFINES THE EVENTS BY SWITCHING ELEMENTS IN COLUMNS C1 AND C2 OF CURRENT ROW R. THE ROUTINE ALSO SWITCHES TENS DIGITS BETWEEN CURRENT ROW R AND PRECEDING ROW (R-2) OF COLUMN C3. STAT3450.INP MAY CONTAIN UP T0 1000 EVENTS. GENERATED TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3450 IS A VARIANT AND CYCLICAL EXTENSION OF STAT3449, WHICH ANALYZES A PRE-CODED, FIXED, SINGLE VECTOR = <2,6,4>. ========================================================================= -- L 3451 -- ( GENERATING EVENTS FROM A (BMAX x K0)-DIMENSIONAL MATRIX BY REPLACING EACH PAIR OF ELEMENTS, E1 AND E2, PER EVENT, BY A PAIR OF CORRESPONDING ELEMENTS, F1 AND F2, ( WHERE F1 IS THE SEMI-SUM OF ALL UNITS AND TENS DIGITS OF E1 AND E2 AND F2 IS THE PRODUCT OF THE TENS DIGITS OF E1 AND E2, WHERE THE REMAINING ELEMENTS PER EVENT REMAIN FIXED ) STAT3451 READS A SEQUENCE OF 2-DIMENSIONAL COLUMN-INDEX VECTORS FROM STAT3451.IN2 AND A (BMAX x K0)-DIMENSIONAL MATRIX OF TEST EVENTS FROM STAT3451.INP, AND REPLACES EACH PAIR OF ELEMENTS, E1 AND E2, PER EVENT, BY A PAIR OF CORRESPONDING ELEMENTS, F1 AND F2, ( WHERE F1 IS THE SEMI-SUM OF ALL UNITS AND TENS DIGITS OF E1 AND E2 AND F2 IS THE PRODUCT OF THE UNITS AND TENS DIGITS OF E1 AND E2. REMAINING ELEMENTS OF EACH PROCESSED EVENT REMAIN FIXED. TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3451 IS A VARIANT OF STAT3450. ========================================================================= -- L 3452 -- ( GENERATING EVENTS FROM A (BMAX x K0)-DIMENSIONAL MATRIX BY REPLACING EACH PAIR OF ELEMENTS IN COLUMNS C1 AND C2, PER EVENT, BY A PAIR OF ELEMENTS, E1 AND E2, ( WHERE E1 AND E2 REPRESENT A PAIR OF HIGH-PROBABILITY ELEMENTS PROJECTED FOR THE NEXT STAR EVENT, WHERE THE REMAINING ELEMENTS PER EVENT REMAIN FIXED ) II STAT3452 READS A SEQUENCE OF 2-DIMENSIONAL ELEMENT-PAIR VECTORS, , FROM STAT3452.IN3, A SEQUENCE OF 2-DIMENSIONAL COLUMN-INDEX VECTORS FROM STAT3452.IN2 AND A (BMAX x K0)-DIMENSIONAL MATRIX OF EVENTS FROM STAT3452.INP, AND REPLACES EACH PAIR OF ELEMENTS F1 AND F2 IN COLUMNS C1 AND C2 PER EVENT, BY A PAIR OF CORRESPONDING ELEMENTS E1 AND E2, ( WHERE E1 AND E2 RESIDE IN A SEQUENCE OF PAIRS OF HIGH-PROBABILITY ELEMENTS FROM STAT3452.IN3, DETERMINED BY THE COLUMN-INDEX VECTORS OF STAT3452.IN2). THE REMAINING ELEMENTS OF EACH PROCESSED EVENT REMAIN FIXED. TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3452 IS A VARIANT OF STAT3451. ========================================================================= -- L 3453 -- ( GENERATING BMAX*CMAX BIPARTITE EVENTS FROM A (BMAX x 3)-DIMENSIONAL MATRIX OF EVENTS VS. A (CMAX x 2)-DIMENSIONAL MATRIX OF EVENTS ) ( EVENT SIZE GENERATED IS K0 = 5 ) I STAT3453 READS A BLOCK OF 3-DIMENSIONAL ELEMENT VECTORS FROM STAT3453.IN2 AND A BLOCK OF 2-DIMENSINAL ELEMENT VECTORS FROM STAT3453.IN3, GENERATING A BMAX*CMAX-BLOCK OF (K0 = 5)-ELEMENT EVENTS. TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3453 IS A VARIANT OF STAT3454, WHICH ANALYZES THE CASE WHERE K0 = 6. ========================================================================= -- L 3454 -- ( GENERATING BMAX*CMAX*FMAX BIPARTITE EVENTS FROM EITHER PAIRS OR TRIADS OF (BMAX x F(J))-DIMENSIONAL MATRICES, WITH F(J) = 1,2,3,5) II STAT3454 READS A SEQUENCE OF WEIGHTS FROM WT(L).INP, GENERATED BY STAT3246 AS WT(L).OUT. THE ROUTINE ALSO READS EITHER PAIRS OR TRIADS OF (BMAX x F(J))-DIMENSIONAL MATRICES FROM STAT3454.IN2, STAT3454.IN3, AND STAT3454.IN4, RESPECTIVELY, WHERE F(J) = 2, 3, OR 1 , AND GENERATES EITHER BIPARTITE OR TRIPARTITE K0-ELEMENT EVENTS INTO STAT3454.OUT FOR FURTHER ANALYSIS, BY EITHER ONE OF THE FOLLOWING METHODS: ============================================== 1 ) (BMAX x 3) vs. (BMAX x 2) vs. (BMAX x 1) 2 ) (BMAX x 2) vs. (BMAX x 3) vs. (BMAX x 1) 3 ) (BMAX x 2) vs. (BMAX x 2) vs. (BMAX x 2) 4 ) (BMAX x 3) vs. (BMAX x 3) vs. (BMAX x 3) 5 ) (BMAX x 3) vs. (BMAX x 3) 6 ) (BMAX x 2) vs. (BMAX x 3) 7 ) (BMAX x 3) vs. (BMAX x 2) 8 ) (BMAX x 5) vs. (BMAX x 1) ============================================== GENERATED TEST EVENTS ARE RANKED IN DESCENDING ORDER OF MEAN PROBABILTY BASED UPON MEAN WEIGHTS DETERMINED FROM WEIGHTS READ FROM THE FILE WT(L).INP, GENERATATED FROM STAT3246 AS WT(L).OUT TO BE UTILIZED BY STAT3454 AND OTHER ROUTINES. CF. STAT3633, STAT3634 OR OTHER ROUTINES FOR THE GENERATION OF INPUT MATRICES FOR STAT3454. CF. ALSO STAT3453 AND STAT3455. ========================================================================= -- L 3455 -- ( GENERATING BMAX*CMAX BIPARTITE EVENTS FROM A (BMAX x 5)-DIMENSIONAL MATRIX OF EVENTS VS. A (CMAX x 1)-DIMENSIONAL MATRIX OF EVENTS ) ( EVENT SIZE GENERATED IS K0 = 6 ) III STAT3455 READS A BLOCK OF 5-DIMENSIONAL ELEMENT VECTORS FROM STAT3455.IN2 AND A BLOCK OF 1-DIMENSINAL ELEMENT VECTORS FROM STAT3455.IN3, GENERATING A BMAX*CMAX-BLOCK OF (K0 = 6)-ELEMENT EVENTS. TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3455 IS A VARIANT OF STAT3454, WHICH ANALYZES THE CASE WHERE K0 = 6. ========================================================================= -- L 3456 -- ( DETERMINING CYCLICAL PROBABILITES UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION ) STAT3456 READS IN REAL-TIME A GIVEN RELATIVE FREQUENCY OR PROBIBILITY THAT AN EVENT E WILL BE [*]-QUALIFIED ON THE NEXT TRIAL GIVEN A DESIRED NUMBER OF TRIALS, Q0, SELECTED BY THE ANALYST, AND DETERMINES CYCYCLICAL PROBABILITIES, OVER THIS RANGE OF TRIALS, THAT EVENT E WILL BE [*]-QUALIFIED. RESULTS ARE RECORDED IN BOTH STAT3456.OUT AND STAT3456.OT2. THE ROUTINE IS DESIGNED TO REVEAL THE TREND OF PROBATILITIES OVER A GIVEN RANGE OF TRIALS FOR A FIXED RELATIVE FREQUENCY FOR SUCCESS ON A GIVEN TRIAL. ========================================================================= -- L 3457 -- ( DETERMINING A SEQUENCE OF PROBABILITY WEIGHTS FOR L0 ELEMENTS BASED UPON RELATIVE FREQUENCY AND FAILURE TO OCCUR VS. THE LAST Q0 STAR EVENTS PER ELEMENT VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) STAT3457 READS FROM STAT3457.INP, FOR EACH L = 1, 2, ... , L0 , A VECTOR CONSISTING OF THE RELATIVE FREQUENCY OF L AND THE NUMBER OF INDICES Q0 FOR WHICH L HAS FAILED TO OCCUR VS. STAR EVENTS. A SEQUENCE OF L0 WEIGHTS, ( < WT(L) > , L = 1, ... , L0 ) IS GENERATED AND RECORDED IN PERM.OUT, WHERE WT(L) IS THE PROBABILITY, Pr( L WILL OCCUR AT STAR EVENT INDEX IMAX+1, FOLLOWING THE FINAL STAR EVENT INDEX ), BASED UPON A GEOMETRIC PROBABLITY DISTRIBUTION. STAT3457 IS A VARIANT OF STAT3458. ========================================================================= -- L 3458 -- ( DETERMINING A SEQUENCE OF PROBABILITY WEIGHTS FOR L0 ELEMENTS BASED UPON RELATIVE FREQUENCY AND FAILURE TO OCCUR VS. THE LAST Q0 STAR EVENTS PER ELEMENT VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) STAT3458 READS FROM STAT3458.INP, FOR EACH L = 1, 2, ... , L0 , A VECTOR CONSISTING OF THE RELATIVE FREQUENCY OF L AND THE NUMBER OF INDICES Q0 FOR WHICH L HAS FAILED TO OCCUR VS. STAR EVENTS. A SEQUENCE OF L0 WEIGHTS, ( < WT(L) > , L = 1, ... , L0 ) IS GENERATED AND RECORDED IN PERM.OUT, WHERE WT(L) IS THE PROBABILITY, Pr( L WILL OCCUR IN AT LEAST ONE OF THE NEXT Q0 STAR EVENTS ), BASED UPON A GEOMETRIC PROBABILITY DISTRIBUTION. STAT3458 IS A VARIANT OF STAT3457. ========================================================================= -- L 3459 -- ( GENERATING A K0-ELEMENT TEST EVENTS FROM EACH PERMUTATION IN A FIXED BLOCK BY SELECTING A COMPLETE BIPARTITE SET OF PAIRS OF ELEMENT TRIPLES FROM EACH PERMUTATION, WHERE Q0 MAY VARY BUT THE FIXED VALUE OF K0 = 5 ) STAT3459 READS A BLOCK OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND GENERATES A SET OF K0-ELEMENT TEST EVENTS FROM EACH PERMUTATION BY SELECTING A COMPLETE BIPARTITE SET OF PAIRS OF ELEMENT TRIPLES FROM EACH PERMUTATION, WHERE Q0 MAY VARY BUT THE FIXED VALUE OF K0 = 6. GENERATED K0-ELEMENT TEST EVENTS ARE RECORDED IN FOR FURTHER ANALYSIS IN STAT3459.OUT. THE DIMENSION Q0 OF EACH PERMUTATION IN PERM.INP MUST RESIDE IN THE FOLLOWING SET: { 9,12,15,18,21,24,27,30,33,36,39 }. CF. ALSO STAT3412. STAT3459 IS A VARIANT OF STAT3460 BUT K0 = 5, INSTEAD OF 6. ========================================================================= -- L 3460 -- ( GENERATING A K0-ELEMENT TEST EVENTS FROM EACH PERMUTATION IN A FIXED BLOCK BY SELECTING A COMPLETE BIPARTITE SET OF PAIRS OF ELEMENT TRIPLES FROM EACH PERMUTATION, WHERE Q0 MAY VARY BUT THE FIXED VALUE OF K0 = 6 ) STAT3460 READS A BLOCK OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND GENERATES A SET OF K0-ELEMENT TEST EVENTS FROM EACH PERMUTATION BY SELECTING A COMPLETE BIPARTITE SET OF PAIRS OF ELEMENT TRIPLES FROM EACH PERMUTATION, WHERE Q0 MAY VARY BUT THE FIXED VALUE OF K0 = 6. GENERATED K0-ELEMENT TEST EVENTS ARE RECORDED IN FOR FURTHER ANALYSIS IN STAT3460.OUT. THE DIMENSION Q0 OF EACH PERMUTATION IN PERM.INP MUST RESIDE IN THE FOLLOWING SET: { 9,12,15,18,21,24,27,30,33,36,39 }. CF. ALSO STAT3412. STAT3460 IS A VARIANT OF STAT3459, BUT K0 = 6 INSTEAD OF 5. ========================================================================= -- L 3461 -- ( GENERATING 6-DIMENSIONAL VECTORS [ C1,C2,T1,T2,D1,D2 ] WHICH MAY BE UTILIZED AS INPUT VECTORS IN STAT3462.IN2 ) STAT3461 GENERATES A SEQUENCE OF 6-DIMENSIONAL VECTORS OF THE FORM: [ C1,C2,T1,T2,D1,D2 ], WHICH MAY BE UTILIZED AS INPUT VECTORS IN STAT3462.IN2, WHERE C1 AND C2 ARE COLUMN INDICES, T1 AND T2 ARE SELECTED TRANSLATIONS OF ELEMENTS IN COLUMS C1 AND C2, RESPECTIVELY, AND D1 AND D2 ARE SELECTED DIVISORS OF THE TRANSLATED ELEMENTS IN COLUMNS C1 AND C2, RESPECTIVELY. THE REMAINING ELEMENTS OF EACH PROCESSED EVENT REMAIN FIXED. TEST EVENTS ARE RECORDED FOR THE FUTURE IN STAT3462.IN2. STAT3461 IS A DATA-FEED TO STAT3462. ========================================================================= -- L 3462 -- ( GENERATING EVENTS FROM A (BMAX x K0)-DIMENSIONAL MATRIX BY REPLACING EACH PAIR OF ELEMENTS IN COLUMNS C1 AND C2, PER EVENT, BY A PAIR OF ELEMENTS, E1 AND E2, ( WHERE E1 AND E2 REPRESENT A PAIR OF HIGH-PROBABILITY ELEMENTS CONSTRUCTED BY TRANSLATING AND DIVIDING TRANSLATIONS OF ELEMENTS BY SELECTED DIVISORS) WHERE THE REMAINING ELEMENTS PER EVENT REMAIN FIXED ) IV ( VARIANT OF STAT3452 AND STAT3464 ) STAT3462 READS A SEQUENCE OF TEST EVENTS IN STAT3462.INP AND A SEQUENCE OF PAIRS OF TRIADS OF ELEMENTS IN STAT3462.IN2 OF THE FORM (C1,C2,T1,T2,D1,D2), WHERE C1 AND C2 ARE SELECTED COLUMNS, T1 AND T2 ARE SELECTED TRANSLATIONS OF ELEMENTS IN COLUMS C1 AND C2, RESPECTIVELY, AND D1 AND D2 ARE SELECTED DIVISORS OF THE TRANSLATED ELEMENTS IN COLUMNS C1 AND C2, RESPECTIVELY. THE REMAINING ELEMENTS OF EACH PROCESSED EVENT REMAIN FIXED. TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3462 IS A VARIANT OF STAT3452. TRANSLATIONS OF ELEMENTS IN COLUMNS C1 AND C2 ARE OF THE FORM: F(C1) = (B(C1) - T1) / D1 AND F(C2) = (B(C2) - T2) / D2. STAT3462 IS AN HYBRID OF STAT3452 AND STAT3464. ========================================================================= -- L 3463 -- ( GENERATING 6-DIMENSIONAL VECTORS [ C1,C2,C3,T1,T2,T3,D1,D2,D3 ] WHICH MAY BE UTILIZED AS INPUT VECTORS IN STAT3464.IN2 ) STAT3463 GENERATES A SEQUENCE OF 9-DIMENSIONAL VECTORS OF THE FORM: [ C1,C2,C3,T1,T2,T3,D1,D2,D3 ], WHICH MAY BE UTILIZED AS INPUT VECTORS IN STAT3462.IN2, WHERE C1, C2, AND C3 ARE COLUMN INDICES, T1, T2, AND T3 ARE SELECTED TRANSLATIONS OF ELEMENTS IN COLUMS C1, C2, AND C3, RESPECTIVELY, AND D1, D2, AND D3 ARE SELECTED DIVISORS OF THE TRANSLATED ELEMENTS IN COLUMNS C1, C2, AND C3 , RESPECTIVELY. THE REMAINING ELEMENTS OF EACH PROCESSED EVENT REMAIN FIXED. TEST EVENTS ARE RECORDED FOR THE FUTURE IN THE FILE STAT3464.IN2. STAT3463 IS A DATA-FEED TO STAT3464. ========================================================================= -- L 3464 -- ( GENERATING EVENTS FROM A (BMAX x K0)-DIMENSIONAL MATRIX BY REPLACING EACH PAIR OF ELEMENTS IN COLUMNS C1 AND C2, PER EVENT, BY A PAIR OF ELEMENTS, E1 AND E2, ( WHERE E1 AND E2 REPRESENT A PAIR OF HIGH-PROBABILITY ELEMENTS CONSTRUCTED BY TRANSLATING AND DIVIDING TRANSLATIONS OF ELEMENTS BY SELECTED DIVISORS) WHERE THE REMAINING ELEMENTS PER EVENT REMAIN FIXED ) V ( VARIANT OF STAT3462 ) STAT3464 READS A SEQUENCE OF TEST EVENTS IN STAT3464.INP AND A SEQUENCE OF TRIADS OF TRIPLETS OF ELEMENTS IN STAT3464.IN2 OF THE FORM (C1,C2,C3,T1,T2,T3,D1,D2,D3) , WHERE C1, C2 AND C3 ARE SELECTED COLUMNS, T1, T2, AND T3 ARE SELECTED TRANSLATIONS OF ELEMENTS IN COLUMS C1, C2, AND C3, RESPECTIVELY, AND D1, D2, AND D3 ARE SELECTED DIVISORS OF THE TRANSLATED ELEMENTS IN COLUMNS C1 AND C2, RESPECTIVELY. THE REMAINING ELEMENTS OF EACH PROCESSED EVENT REMAIN FIXED. TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3464 IS A VARIANT OF STAT3462. TRANSLATIONS OF ELEMENTS IN COLUMNS C1 AND C2 ARE OF THE FORM: F(C1) = (B(C1) - T1) / D1, F(C2) = (B(C2) - T2) / D2, AND F(C3) = (B(C3) - T3) / D3. ========================================================================= -- L 3465 -- ( GENERATING A COMPLETE BIPARTITE SET OF K0-ELEMENT EVENTS FROM A FIXED SEQUENCE OF 3-ELEMENT EVENTS ) STAT3465 READS A SEQUENCE OF BMAX 3-ELEMENT TEST EVENTS FROM STAT3465.INP AND GENERATES A COMPLETE BIPARTITE SET OF K0-ELEMENT EVENTS. ELEMENTS IN THE GENERATED EVENTS ARE TWEAKED FOR UNIQUENESS AND THE EVENTS ARE RECORDED IN STAT3465.OUT FOR FURTHER ANALYSIS IN STAT3269.INP OR OTHER ROUTINES. FOR K0 = 6, THE NUMBER OF GENERATED EVENTS IS NMAX = (BMAX*(BMAX-1))/2. OTHERWISE, 3*NMAX EVENTS ARE GENERATED. ========================================================================= -- L 3466 -- ( GENERATING K0-ELEMENT EVENTS FROM TRIANGULAR CONFIGURATIONS DETERMINED FROM A SEQUENCE OF 8-DIMENSIONAL VECTORS CONSISTING OF TACITLY SELECTED ELEMENTS FROM < 1, 2, 3, ... , L0 > ) I STAT3466 READS AN ARBITRARY SEQUENCE OF 8-DIMENSIONAL VECTORS FROM STAT3466.IN2, WHOSE ENTRIES ARE TACITLY SELECTED ELEMENTS FROM < 1, 2, 3, ... , L0 >. A SEQUENCE OF K0-ELEMENT EVENTS IS GENERATED INTO STAT3466.OT2, RE-ADJUSTED FOR UNIQUENESS AND RECORDED IN STAT3466.OUT FOR FUTURE ANALYSIS. STAT3466 IS A VARIANT OF STAT3467. ========================================================================= -- L 3467 -- ( GENERATING K0-ELEMENT EVENTS FROM TRIANGULAR CONFIGURATIONS DETERMINED FROM A SEQUENCE OF 8-DIMENSIONAL VECTORS CONSISTING OF ALTERNATING ROW AND COLUMN INDICES OVER A SELECTED (BMAX x K0)-DIMENSIONAL MATRIX OF ELEMENTS ) II STAT3467 READS A ( BMAX x K0)-DIMENSIONAL MATRIX OF ELEMENTS FROM STAT3467.INP AND AN ARBITRARY SEQUENCE OF 8-DIMENSIONAL VECTORS FROM STAT3467.IN2 WHOSE ENTRIES ARE SELECTED ALTERNATING ROWS AND COLUMN INDICES SELECTED FROM THE MATRIX IN STAT3467.INP. THE ROW ENTRIES OF STAT3467.IN2 ARE AUTOMATICALLY ADJUSTED (MOD BMAX) AND THE COLUMN ENTRIES ARE AUTOMATICALLY ADJUSTED (MOD K0). FINALLY, A SEQUENCE OF K0-ELEMENT EVENTS IS GENERATED INTO STAT3467.OT2, RE-ADJUSTED FOR UNIQUENESS AND RECORDED IN STAT3467.OUT FOR FUTURE ANALYSIS. STAT3467 IS A VARIANT OF STAT3466. ========================================================================= -- L 3468 -- ( READS AN ALPHANUMERIC MATRIX OF SUCCESSES/FAILURES AND RE-FORMATS THE OUTCOMES AS A (0,1) BINARY SEQUENCE FOR FURTHER ANALYSIS ) STAT3468 READS AN ALPHANUMERC MATRIX OF SUCCESSES/FAILURES OF A GIVEN ENTITY IN STAT3468.INP AND RE-FORMATS THE OUTCOMES AS A (0,1) BINARY SEQUENCE IN STAT3260.INP FOR FURTHER ANALYSIS. THE OUTCOMES IN STAT3260.INP ARE SAVED AS A CUMULATIVE FILE FOR A SEQUENCE OF EVENTS WITH SPECFIED HEADERS TO BE UTILIZED IN STAT3260. CF. STAT3260, STAT3261, STAT3262, STAT3275, STAT3318, STAT3409, STAT3410, STAT3413, AND STAT3414. ========================================================================= -- L 3469 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS VIII ( VARIANT OF STAT3269, STAT3247 AND STAT3419 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES WITH EVENTS RESTRICTED TO A PRESCRIBED COLUMN INDEX RANGE ) COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3469 IS A VARIANT STAT3269 AND STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX AND RESTRICTED TO A PRESCRIBED COLUMN INDEX RANGE : [ C(1),C(2) ]. HOWEVER, STAT3469 UTILIZES A GEOMETRIC DISTRIBUTION TO DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3469 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3469 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3469.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3469 IS A DERIVATIVE AND VARIANT OF STAT2343 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3469 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3469, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3470 -- ( GENERATING BMAX*CMAX*DMAX TRI-PARTITE EVENTS FROM A (BMAX x C1)- DIMENSIONAL MATRIX OF EVENTS VS. A (CMAX x C2)-DIMENSIONAL MATRIX OF EVENTS VS. A (DMAX x C3)-DIMENSIONAL MATRIX OF EVENTS WITH C1 + C2 + C3 = K0 AND DMAX BEING ARBITRARILY ADJUSTED TO 0 ) X STAT3470 READS A BLOCK OF C1-DIMENSIONAL ELEMENT VECTORS FROM STAT3470.IN1, A BLOCK OF C2-DIMENSINAL ELEMENT VECTORS FROM STAT3470.IN2, AND A BLOCK OF C3-DIMENSIONAL ELEMENT VECTORS FROM STAT3470.IN3. BMAX*CMAX*DMAX TRI-PARTITE EVENTS ARE GENERATED AND RECORDED IN STAT3470.OUT FROM THE THREE INPUT BLOCKS. STAT3470 IS AN HYBRID OF STAT3453, STAT3454, AND STAT3455, WHERE BMAX, CMAX, AND DMAX ARE BOUNDED ABOVE BY 500. ========================================================================= -- L 3471 -- ( GENERATING A BMAX*CMAX*DMAX*EMAX*FMAX*GMAX 6-PARTITE BLOCK OF EVENTS FROM THE CROSS PRODUCT OF A (BMAX x 1)-, A (CMAX x 1)-, A (DMAX x 1)-, AN (EMAX x 1)-, AN (FMAX x 1)-, AND A (GMAX x 1)- DIMENSIONAL VECTOR OF ELEMENTS ) XX STAT3471 READS A SET OF EITHER FIVE OR SIX VECTORS, V1, V2, V3, V4, V5, AND V6 FROM STAT3471.IN1, STAT3471.IN2, STAT3471.IN3, STAT3471.IN4, STAT3471.IN5, AND STAT3471.IN6, RESPECTIVELY, (POSSIBLY GENERATED VIA STAT3436 AND STAT3260) AND GENERATES A 6-PARTITE BLOCK OF EVENTS INTO STAT3471.OUT FROM THE CROSS PRODUCT OF THE INPUT VECTORS. ========================================================================= -- L 3472 -- ( GENERATING K0-ELEMENT EVENTS FROM A (BMAX x K0) ) - DIMENSIONAL BLOCK OF EVENTS BY SELECTING HOROZONTAL PAIRS OF ELEMENTS FROM FROM TRIADS OF ROWS [ R1,R2,R3 ] FOR EACH VALUE OF R1,R2, AND R3 ) READS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3472.INP, A SEQUENCE OF 3-DIMENSIONAL VECTORS, [ R1,R2,R3 ], FROM STAT3472.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE VECTORS FROM STAT3472.IN2 ARE UTILIZED TO SELECT ELEMENTS FROM STAT3472.INP TO GENERATE TEST EVENTS INTO STAT94.INP OF THE FORM: [ B(R1,1), B(R1,2), B(R2,3), B(R2(4), B(R3,5), B(R3,6) ] . THE ROUTINE READS UP TO 600 STAR EVENTS IN BASE.INP, UP TO 1000 TEST EVENTS IN STAT3472.INP AND AN ARBITRARY NUMBER OF VECTORS IN STAT3472.IN2, WITH ELEMENT ROW-INDICES IN STAT3472.IN2 ADJUSTED (MOD BMAX). STAT3472 IS A VARIANT OF STAT3241. ========================================================================= -- L 3473 -- ( GENERATING A COMPLETE SET OF K0-ELEMENT COMBINATIONS FROM A FIXED PERMUTATION OF DIMENSION Q0 , WHERE K0 = 1,2,3,4, OR 5 ) STAT3473 READS A FIXED Q0-DIMENSIONAL PERMUTATION FROM PERM.INP AND GENERATES INTO STAT3473.OUT A COMPLETE SET OF K0-ELEMENT COMBINATIONS TO BE UTILIZED IN STAT3470 AS EITHER STAT3470.IN1 OR STAT3470.IN2, WHERE K0 = 1,2,3,4, OR 5. ========================================================================= -- L 3474 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS XXX ( VARIANT OF STAT3269, STAT3247 AND STAT3419 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3474 READS A (K0xK0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3474.INP AND GENERATES FROM IT A COMPLETE K0-PARTITE SET OF K0-ELEMENT EVENTS AND COMPARES AND INTERSECTS THOSE EVENTS WITH A FINITE BASE SET OF STAR EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3474 IS A VARIANT STAT3269 AND STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3474 UTILIZES A GEOMETRIC DISTRIBUTION TO DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3474 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3474 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3474.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3474 IS A DERIVATIVE AND VARIANT OF STAT2343 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3474 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3474, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. BEING A VARIANT OF STAT3269, STAT3474 GENERATES A LARGE SEQUENCE OF K0-PARTITE TEST EVENTS FROM STAT3474.INP, RATHER THAN A FIXED LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3474.INP. ========================================================================= -- L 3475 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS XXXXX ( VARIANT OF STAT3474, STAT3247 AND STAT3269 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3475 READS A Q0-ELEMENT PERMUTATION FROM PERM.INP AND GENERATES FROM IT A COMPLETE SET OF K0-ELEMENT TEST EVENTS, COMPARING AND INTERSECTING THOSE EVENTS WITH A FINITE BASE SET OF STAR EVENTS, AND DETERMINING THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3475 IS A VARIANT STAT3474 AND STAT2343 AND STAT3269, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3475 UTILIZES A GEOMETRIC DISTRIBUTION TO DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3475 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3475 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3475.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3475 IS A DERIVATIVE AND VARIANT OF STAT3474 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3475 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3475, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. BEING A VARIANT OF STAT3474, STAT3475 GENERATES A LARGE SEQUENCE OF K0-PARTITE TEST EVENTS FROM STAT3475.INP, RATHER THAN A FIXED LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3475.INP. NOTE: STAT3475 CREATES THE VERY IMPORTANT FILE STAT3475.OT2. MOREOVER, STAT3564.INP, GENERATED BY STAT3475, IS UTILIZED IN STAT3564 AS STAT3564.INP. AND, STAT3565.INP, GENERATED BY STAT3475, IS UTILIZED IN STAT3565 AS STAT3565.INP. ========================================================================= -- L 3476 -- MONITOR MATRIX GENERATOR XXXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC PROBABILITY DISTRIBUTION FUNCTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3476 IS A VARIANT OF STAT3246, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3476 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3476 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3476 IS A VARIANT OF STAT3246, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3476 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF ELEMENTS RANKED RANDOMLY BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, 44 ] , [ 47 ===> 48 ] , [ 59 ===> 60 ] , [ 75 ===> 76 ]. ========================================================================= -- L 3483 -- ( GENERATING K0-ELEMENT SUB-EVENTS FROM A FIXED ( BMAX x K0 )- DIMENSIONAL BLOCK OF EVENTS VIA DIAGONAL TRANSLATIONS ) STAT3483 GENERATES A FIXED ( BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS INTO STAT3483.OUT FROM STAT3483.INP BY SELECTING AND TRANSLATING DIAGONAL SUB-STRINGS OVER SCROLLING VERTICAL BLOCKS OF DEPTH K0. IT IS PRESUMED THAT BMAX IS A MULTIPLE OF K0. STAT3483.INP MAY BE GENERATED FROM STAT3272 OR ANOTHER SOURCE. STAT3483.OUT MAY BE FURTHER PROCESSED IN STAT2803 AS STAT2803.INP. ========================================================================= -- L 3484 -- ( GENERATING RANDOM SUB-PERMUTATIONS OF DESIRED SIZES Q1, ... , QN BY SELECTING UNIONS OF PAIRS OF SUB-STRINGS OF ELEMENTS VIA SELECTED PAIRS OF INITIAL AND TERMINAL INDICES OF A FIXED PERMUTATION ) STAT3484 READS A FIXED PERMUTATION OF SIZE Q0 FROM PERM.INP, A SEQUENCE OF PAIRS OF SUB-STRING END-POINTS FROM STAT3484.INP AND SELECTS DESIRED UNIONS OF PAIRS OF SUB-STRINGS OF ELEMENTS FROM PERM.INP VIA PAIRS OF INITIAL AND TERMINAL INDICES, AS DETERMINED BY THE ANALYST. GENERATED SUB-PERMUTATIONS ARE RECORDED IN PERM.OUT. PERM.INP MAY BE GENERATED BY STAT3246 AS PERM2.OUT. FROM STAT3484, FILE PERM.OUT MAY BE FURTHER ANALYZED IN STAT3121 AS PERM.INP. CF. ALSO STAT3482. ========================================================================= -- L 3485 -- (FILTERING AND RANKING Q0-ELEMENT PERMUTATIONS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL Q0 ELEMENTS) ( VARIANT AND PERMUTATION VERSION OF STAT3086 ) READS A LARGE SET OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP, A SET OF L0 WEIGHTS OF ELEMENTS FROM WT(L).INP( GENERATED VIA STAT3246, (AS WT(L).OUT). PERMUTATIONS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL Q0 ELEMENTS PER INPUT PERMUTATION. A GIVEN PERMUTATION IS FILTERED AS [*]-QUALIFIED WHENEVER THE SUM OF ELEMENT WEIGHTS EXCEEDS A DESIRED BOUND SELECTED IN REAL-TIME BY THE ANALYST. [*]-QUALIFYING PERMUTATIONS ARE RECORDED IN PERM.OUT. THE WEIGHTS IN FILE WT(L).INP MAY ALSO BE GENERATED AS PERM.INP IN STAT3246. CF. STAT3086. STAT12 MAY BE UTILIZED TO GENERATE PERM.INP AS PERM2.OUT. STAT3485 IS THE PERMUTATION VERSION OF STAT3086. ========================================================================= -- L 3486 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A POISSON PROBABILITY DISTRIBUTION FUNCTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3486 IS A VARIANT OF STAT3476, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3486 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3486 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3486 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3486 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3487 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3487 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3487, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. THE ANALYST IS QUERIED FOR A SEQUENCE OF 3 DESIRED COLUMN INDICES. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3488 -- ( UTILIZING A POISSON DISTRIBUTION TO DETERMINE THE PROBABILITY THAT AN ARBITRARY EVENT IN A IMAX-ELEMENT SEQUENCE WILL HAVE ITS 1st SUCCESS ON TRIAL # IMAX+1, FOLLOWING THE FINAL TRIAL SINCE THE OCCURRENCE OF THE LAST SUCCESS OVER IMAX STAR EVENT INDICES ) ( POISSON VARIANT OF STAT3260 ) READS A SEQUENCE OF IMAX BINARY-VALUED ELEMENTS, REPRESENTING OCCURRENCE VS. NON-OCCURRENCE OF EACH EVENT IN A SEQUENCE, TO DETERMINE THE PROBABILITY OF OCCURRENCE OF THE EVENT ON THE NEXT SUCCESSIVE TRIAL BY DETERMINING THE PROBABILITY THAT THE EVENT WILL HAVE ITS Kth SUCCESS ON TRIAL # IMAX+1, THE FINAL TRIAL, UTILIZING A POISSON PROBABILITY DISTRIBUTION, RATHER THAN A NEGATIVE-BINOMIAL DISTRIBUTION. STAT3488 ALSO DETERMINES THE ODDS IN FAVOR OF EACH EVENT E AND THE ODDS AGAINST THE OCCURRENCE OF E. CF. STAT3410, STAT3409, AND STAT3413 FOR FURTHER ANALYSIS. CF. STAT3436 FOR THE GENERATION OF STAT3488.INP OVER 6 DISTINCT COLUMNS AS EITHER STAT3260.IN1, STAT3260.IN2, STAT3260.IN3, STAT3260.IN4, STAT3260.IN5, OR STAT3260.IN6 FOR COLUMNS 1-6, RESPECTIVELY. STAT3488 IS A VARIANT AND POISSON DISTRIBUTION VERSION OF STAT3260. CF. ALSO STAT3318. ========================================================================= -- L 3489 -- ( DETERMINING THE COMPLEMENT OF EACH Q0-ELEMENT PERMUTATION IN A GIVEN SEQUENCE DEFINED OVER L0 ELEMENTS AND DETERMINING THE ELEMENT OCCURRENCE BLUEPRINT OF EACH PERMUTATION INTERSECTED WITH A FIXED K0-ELEMENT EVENT, AS WELL AS THE ELEMENT OCCURENCE CONFIGURATION OF A ( BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS EACH ONE OF WHICH IS INTER5ECTED WITH THE SAME FIXED K0-ELEMENT TEST EVENT ) READS A SEQUENCE OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP, DEFINED ON THE ELEMENTS IN { 1, 2, ... , L0 }, A K0-ELEMENT TEST EVENT ENTERED IN REAL-TIME BY THE ANALYST, AND A (BMAX x K0)-DIMENSIOAL BLOCK OF TEST EVENTS FROM STAT3489.INP. THE COMPLEMENT OF EACH EACH INPUT PERMUTATION OF SIZE Q0 OVER L0 ELEMENTS IS DETERMINED AND EACH PERMUTATION, AS WELL AS THE (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS, IS INTERSECTED WITH THE FIXED K0-ELEMENT TEST EVENT. TO DETERMINE ELEMENT OCCURRENCE CONFIGURATIONS OR BLUEPRINTS. RESULTS ARE RECORDED IN PERM.OUT AND STAT3489.OUT, RESPECTIVELY. THE ROUTINE IS DESIGNED TO REAL HOW THE PERMUTATION BLOCK AND THE TEST EVENT BLOCK PERFORM WHEH INTERSECTED VS. THE GIVEN TEST TEST EVENT. ========================================================================= -- L 3490 -- ( READS A SEQUENCE OF L0 ELEMENTS (L), L = 1, 2, ... , L0, PRESUMED TO BE ORDERED IN EITHER DESCENDING OR ASCENDING MAGNITUDES OF WEIGHTS AND ASSIGNS A NEW WEIGHT, WT(L), TO EACH ELEMENT, L, UTILIZING THE EMPIRICAL RULE FOR A GAUSSIAN OR NORMAL DISTRIBUTION ) STAT3490 READS A SEQUENCE OF L0 ELEMENTS , L=1,2,...,L0 , FROM PERM.INP, PRESUMED TO BE ORDERED IN EITHER DESCENDING OR ASCENDING MAGNITUDES OF WEIGHTS. A NEW WEIGHT, WT(L), IS ASSIGNED TO EACH ELEMENT, L, UTILIZING THE EMPIRICAL RULE FOR A GAUSSIAN OR NORMAL DISTRIBUTION AND THE NEW WEIGHTS ARE RECORDED IN WT(L).OUT, TO BE FURTHER ANALYZED IN ANOTHER ROUTINE. ========================================================================= -- L 3491 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS VI ( PERMUTATION VERSION OF STAT3487 ) ( VARIANT OF STAT3487, STAT3272, STAT3269, STAT3247 AND STAT3419 ) ( UTILIZING A POISSON DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A LARGE SET OF K0-ELEMENT EVENTS GENERATED FROM ALL POSSIBLE [ Q0 C K0 ] COMBINATIONS OF A FIXED Q0-ELEMENT PERMUTATION OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER GENERATED EVENT VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3491 IS A VARIANT STAT1030 AND STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3491 UTILIZES A POISSON DISTRIBUTION TO DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3491 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3491 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3491.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3491 IS A DERIVATIVE AND VARIANT OF STAT2343 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3491 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3491, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. STAT3491 IS A VARIANT, POISSON DISTRIBUTION, PERMUTATION VERSION OF STAT3487. CF. STAT3269 FOR THE GEOMETRIC DISTRIBUTION VERSION. ========================================================================= -- L 3492 -- ( INTERCHANGING PAIRS OF ELEMENTS FROM SELECTED TRIADS OF ROWS AND PAIRS OF COLUMNS OF M A FIXED ( BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS OR INTERCHANGING PAIRS OF ELEMENTS OVER ALL K0 COLUMUNS SO AS TO SELECT EVENTS HAVING ELEMENTS WITH THE HIGHEST WEIGHTS OR PROBABLITIES OVER ALL K0 ELEMENTS ) STAT3492 READS A FIXED ( 9 x K0 )-DIMENSIONAL BLOCK OF EVENTS FROM STAT3492.INP, A SELECTED SEQUENCE OF 2-DIMENSIONAL COLUMN INDEX VECTORS FROM STAT3492.IN2, AND A SEQUENCE OF L0 WEIGHTS OR PROBABILITIES OF L FROM WT(L).INP, GENERAED FROM STAT3247. EVENTS ARE GENERATED BY 3 METHODS: 1) FOR EACH SUCCESSIVE TRIAD OF INDEX VECTORS FROM STAT3492.IN2. FOR EACH SUCCESSIVE TRIAD OF EVENTS IN STAT3492.INP, TWO PAIRS OF ELEMENTS FROM THE MIDDLE EVENT OF THE TRIAD VS. EITHER THE LOWER OR UPPER ADJACENT EVENT ARE INTERCHANGED UTILIZING THE SELECTED COLUMN-INDEX VECTORS, THEREBY GENERATING A NEW BLOCK OF K0-ELEMENT EVENTS AND RECORDING THEM IN STAT3492.OUT. THE TOTAL NUMBER OF EVENTS RECORDED IS CMAX WHERE CMAX = BMAX + 3, FOR EACH ORIGINAL ( 9 X K0)-DIMENSIONAL BLOCK OF EVENTS IN STAT3492.INP; 2) INTERCHANGING K0 PAIRS OF COLUMN ELEMENTS FROM PAIRS OF ROWS AND CHOOSING THE ROW WITH EVEN INDEX PARITY FOR WHICH ELEMENTS WITH THE HIGHEST WEIGHTS ARE SELECTED; 3) INTERCHANGING K0 PAIRS OF COLUMN ELEMENTS FROM PAIRS OF ROWS AND CHOOSING THE ROW WITH ODD INDEX PARITY FOR WHICH ELEMENTS WITH THE HIGHEST WEIGHTS ARE SELECTED. A CUMULATIVE FILE OF ALL OUTCOMES IS RECORED IN CUMULAT.OUT FOR FURTHER ANALYSIS. ========================================================================= -- L 3493 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS V (PERMUTATION VERSION OF STAT3487 AND STAT3269) ( VARIANT OF STAT3487, STAT3269, STAT2343, STAT3247 AND STAT3419 ) ( UTILIZING A POISSON DISTRIBUTION TO RANK PERMS VIA PROBABILITIES ) COMPARES A LARGE SET OF Q0-ELEMENT PERMUTATIONS WITH A BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH PERM PER Q0-ELEMENT STRING VS. A BASE SET OF STAR EVENTS, THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3493 IS A VARIANT STAT3487, STAT3269 AND STAT3247, ANALYZING PERMUTATIONS RATHER THAN TEST EVENTS, WITH PERMS FILTERED FROM PERM.INP INTO PERM.OUT. HOWEVER, STAT3493 UTILIZES A POISSON DISTRIBUTION TO DETERMINE AND FILTER [*]-QUALIFYING PERMUTATIONS, I.E., PERMS WITH PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3493 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3493 READS SUB-BLOCKS OF BMAX INPUT PERMUTATIONS FROM PERM.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING PERMS ARE FILTERED AND RECORDED IN PERM.OUT, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3493 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A PERMUTATION VERSION OF STAT3269. CF. ALSO STAT2349 FOR A PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3493 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3493, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING PERMUTATIONS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN PERM.OUT. CODE RED-[*]-QUALIFYING PERMUTATIONS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN PERM2.OUT. CF. ALSO STAT3320 FOR A PERMUTATION VERSION. CF. STAT3419. STAT3493 IS A VARIANT AND POISSON DISTRIBUTION VERSION OF STAT3269. CF. STAT3269 FOR THE GEOMETRIC DISTRIBUTION VERSION. ========================================================================= -- L 3494 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) ( VARIANT OF STAT1504, UTILIZING EITHER A NEGATIVE BINOMIAL, GEOMETRIC OR POISSON PROBABILITY DISTRIBUTION ) STAT3494 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3494.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3494.INP IS READ AS A FIXED BLOCK OF K0-ELEMENT EVENTS AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF BLOCKS OF K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE, M0, E.G., M0 = 1 , 2 , 3 , 4 , ... , 100. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT3494 FILTERS TEST EVENTS FROM STAT3494.INP INTO STAT3494.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3494.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TMAX LIES IN A DESIRED INTERVAL [ T1, T2 ] , WHERE TMAX IS THE NUMBER OF ELAPSED STAR EVENT INDICES SINCE A NOTABLE INTERSECTION SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS. STAT3494 IS A VARIANT OF STAT1468, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3494.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, AN EXTENDED SET OF STAR INDICES ARE USED IN SELECTING QUALIFYING BLOCKS OF TEST EVENTS. CF. STAT1506 AND STAT1323 FOR A VERSION OF STAT3494 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. CF. STAT1618. CF. ALSO STAT1504, AS STAT3494 IS A SPECIAL VARIANT OF STAT1504, BUT IT ALLOWS FILTERING [*]-QUALIFYING TEST EVENTS BASED UPON DESIRED RANGES OF VALUES [ M1,M2 ] FOR II AND VALUES [ T1,T2 ] FOR TMAX. ========================================================================= -- L 3495 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXIX ( QUALIFYING SINGLE EVENTS VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) ( VARIANT OF STAT1618 ) STAT3495 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3495.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3495.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM STAT3495.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3495.INP IS READ AS A FIXED K0-ELEMENT EVENT AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE 1. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3495 FILTERS TEST EVENTS FROM STAT3495.INP INTO STAT3495.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3495.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL ( -00,00) AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3495 IS A VARIANT OF STAT1505, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3495.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS. HOWEVER, AN EXTENDED SET OF STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3495 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3495 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3495. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF NTMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. ========================================================================= -- L 3496 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXXX ( VARIANT OF STAT1631, UTILIZING A GEOMETRIC ROBABILITY DISTRIBUTION ) STAT3496 READS A LARGE SEQUENCE (E.G., UP TO 10,000 OR MORE INPUT TEST EVENTS) FROM STAT3496.INP AND IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3496.INP IS READ AS A FIXED BLOCK OF K0-ELEMENT EVENTS AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF BLOCKS OF K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE, M0, E.G., M0 = 1 , 2 , 3 , 4 , ... , 100. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT3496 FILTERS TEST EVENTS FROM STAT3496.INP INTO STAT3496.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3496.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TMAX .LE. T2 , WHERE TMAX IS THE EXPECTED NUMBER OF STAR INDICES OVER WHICH A [*]-QUALIFYING TEST EVENT SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED AND T2 = -1.0*KCT, WHERE KCT IS THE OCCURRENCE CADENCE OF SUCCESS. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3496 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3496.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, AN EXTENDED SET OF STAR INDICES ARE USED IN SELECTING QUALIFYING BLOCKS OF TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3496 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3496 USES A SEQUENCE OF CONSECUTIVE INDICES VS. TMAX TO GENERATE THE SPECTRUM OF BLOCKS OF EVENTS WHOSE VALUES OF TMAX MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3496. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. CF. STAT2758. EVENTS IN STAT94.INP ARE RANKED IN DESCENDING ORDER OF VMAX = REAL(TMAX) / REAL(KCT). STAT3496 IS A VARIANT OF STAT3417, AND STAT1618, UTILIZING A POISSON PROBABILITY DISTRIBUTION. ========================================================================= -- L 3497 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS V ( VARIANT OF STAT3487, STAT3269, STAT2343, STAT3247 AND STAT3419 ) ( UTILIZING A NEGATIVE BINOMIAL PDF TO DETERMINE PROBABILITIES ) COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3497 IS A VARIANT STAT1030 AND STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3497 UTILIZES A NEGATIVE BINOMIAL PDF TO DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3497 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3497 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3497.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3497 IS A DERIVATIVE AND VARIANT OF STAT2343 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3497 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3497, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. STAT3497 IS A VARIANT AND NEGATIVE BINOMIAL VERSION OF STAT3269 AND STAT3487. CF. STAT3269 FOR THE GEOMETRIC DISTRIBUTION VERSION. ========================================================================= -- L 3498 -- ( FILTERING A K0-ELEMENT QUASI-DUAL EVENT FROM AN ARBITRARILY LARGE SEQUENCE OF EVENTS FOR EACH K0-ELEMENT EVENT IN A FIXED (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS ) STAT3498 READS AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3498.INP AND A FIXED ( BMAX x K0 )-DIMENSIONAL BLOCK OF K0-ELEMENT EVENTS FROM STAT3498.IN2. EACH EVENT OF STAT3490.INP WHICH IS A QUASI-DUAL EVENT OF EACH EVENT OF STAT3498.INP IS FILTERED AND RECORDED IN STAT94.INP. ========================================================================= -- L 3499 -- ( CYCLICALLY APPENDING ELEMENTS FROM A FIXED Q0-ELEMENT PERMUTATION AS FINAL ELEMENTS OF SEQUENTIAL EVENTS OF AN ARBITRARILY LARGE BLOCK OF K0-ELEMENT EVENTS ) STAT3499 READS AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3499.INP AND A FIXED Q0-ELEMENTS FROM PERM.INP. ELEMENTS FROM PERM.INP ARE CYCLICALLY APPENDED TO SEQUENTIAL EVENTS FROM STAT3499.INP TO GENERATE A NEW SEQUENCE OF (K0+1)-ELEMENT EVENTS WHICH ARE RECORDED IN STAT3499.OUT. ========================================================================= -- L 3500 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC, POISSON, OR NEGATIVE BINOMIAL DISTRIBUTION FUNCTION OVER EACH ONE OF K0 SEPARATE COLUMNS ) ( VARIANT OF STAT3246, STAT3250 AND STAT3374 ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3500 IS A VARIANT OF STAT3246, ANALYZING L0 ELEMENTS IN STAR EVENTS OVER EACH ONE OF K0 SEPARATE COLUMNS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON THE GEOMETRIC PROBAILITY DISTRIBUTION DETERMINING THE Pr(EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT). A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3500 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3500 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3500 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3500 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. ( AND NUMBER OF TRIALS FROM STAT3501.INP, WHERE P IS THE RELATIVE FREQUENCY OF SUCCESS OR PROBABILITY OF SUCCESS ON A GIVEN TRIAL AND X IS THE NUMBER OF TRIALS ELAPSING BEFORE THE NEXT EXPECTED SUCCESS FOR A GEOMETRIC PROBABILITY DISTRIBUTION. OUTCOMES ARE RECORDED IN STAT3501.OUT AND STAT3501.OT2. STAT3501 ALSO GENERATES AND RECORDS IN STAT3501.OT2 A SEQUENCE OF CUMULATIVE PROBABILITY PERCENTAGES OF SUCCESS ON THE NEXT TRIAL FOR A GIVEN RELATIVE FREQUENCY OVER A PRESCRIBED NUMBER OF TRIALS. ========================================================================= -- L 3502 -- ( STAT3502 ASSIGNS A PROBABILITY WEIGHT, WT(L), TO EACH ELEMENT IN , L = 1, 2, ... , L0 WHERE WT(L) IS DECREASING AS THE DISTANCE OF L FROM THE FINAL STAR EVENT IN BASE.INP INCREASES ) READS AN ( IMAX x K0)-DIMENSIONAL MATRIX OF STAR EVENTS FROM BASE.INP AND THE ANALYST IS PROMPTED FOR THE DESIRED NUMBER OF EVENTS IBACK TO BACK UP FROM THE FINAL STAR EVENT IN ASSIGNING A WEIGHT WT(L) EXCEEDING 1 TO ELEMENT L. FOR I = 1, 2, ... , IBACK, ELEMENT A(IMAX-I+1,J) IS ASSIGNED A PROBABILITY WEIGHT IBACK-I+1 FOR J = 1,2, ... , K0. A SEQUENCE OF WEIGHTS, WT(L), L = 1,...,L0 IS RECORDED IN THE FILE WT(L).OUT FOR FUTURE PROCESSING. = ========================================================================= -- L 3503 -- ( INTERCHANGING PAIRS OF ELEMENTS IN QUALIFYING COLUMNS FROM CONSECUTIVE PAIRS OF ROWS OF A FIXED ( BMAX x K0 )- DIMENSIONAL BLOCK OF EVENTS OVER ALL K0 COLUMNS SO AS TO GENERATE EVENTS HAVING ELEMENTS WITH THE HIGHEST WEIGHTS OR PROBABLITIES OF OCCURRING OVER ALL K0 ELEMENTS IN THE NEXT STAR EVENT ) STAT3503 READS A FIXED ( BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS FROM STAT3503.INP AND A SEQUENCE OF L0 WEIGHTS OR PROBABILITIES OF L FROM WT(L).INP, GENERATED FROM STAT3246. FOR EACH ROW I ( I = 1, ... , BMAX-1 ) AND ROW M ( M = I+1, ... , BMAX ), ELEMENT B(I,J) IS TACITLY INTERCHANGED WITH ELEMENT B(M,J) , IFF WT(B(I,J) .GT. WT(B(M,J) FOR EACH COLUMN J , J = 1, ... , K0. GENERATED EVENTS ARE RECORDED IN STAT3503.OUT FOR FURTHER ANALYSIS. A CUMULATIVE FILE OF ALL OUTCOMES IS RECORED IN CUMULAT.OUT FOR FURTHER ANALYSIS. STAT3503 IS A VARIANT OF STAT3492 AND STAT3504. STAT3503 GENERATES BMAX K0-ELEMENT EVENTS INTO STAT3503.OUT ========================================================================= -- L 3504 -- ( INTERCHANGING PAIRS OF ELEMENTS IN QUALIFYING COLUMNS FROM BIPARTITE PAIRS OF ROWS OF A FIXED ( BMAX x K0 )- DIMENSIONAL BLOCK OF EVENTS OVER ALL K0 COLUMNS SO AS TO GENERATE EVENTS HAVING ELEMENTS WITH THE HIGHEST WEIGHTS OR PROBABLITIES OF OCCURRING OVER ALL K0 ELEMENTS IN THE NEXT STAR EVENT ) STAT3504 READS A FIXED ( BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS FROM STAT3504.INP AND A SEQUENCE OF L0 WEIGHTS OR PROBABILITIES OF L FROM WT(L).INP, GENERATED FROM STAT3246. FOR EACH ROW I ( I = 1, ... , BMAX-1 ) AND ROW M ( M = I+1, ... , BMAX ), ELEMENT B(I,J) IS TACITLY INTERCHANGED WITH ELEMENT B(M,J) , IFF WT(B(I,J) .GT. WT(B(M,J) FOR EACH COLUMN J , J = 1, ... , K0. GENERATED EVENTS ARE RECORDED IN STAT3504.OUT FOR FURTHER ANALYSIS. A CUMULATIVE FILE OF ALL OUTCOMES IS RECORED IN CUMULAT.OUT FOR FURTHER ANALYSIS. STAT3504 IS A VARIANT OF STAT3492 AND STAT3503. STAT3504 GENERATES BMAX*(BMAX-1)/2 K0-ELEMENT EVENTS INTO STAT3504.OUT. ========================================================================= -- L 3505 -- (FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS AND DETERMINING K0-ELEMENT EVENTS FROM BIPARTITE 3-ELEMENT STRINGS CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT PER EVENT OVER ALL FILTERED EVENTS ) ( VARIANT AND HYBRID OF STAT3086 AND STAT3246 ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3505.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM PERM.INP ( GENERATED VIA STAT3246 AS WT(L).OUT AND UTILIZED IN STAT3505 AS WT(L).OUT ) AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN THE SEQUENCE < 1, 2 , ... , L0 > FROM BASE.INP. PERM.INP MAY ACTUALLY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS COMPUTED FOR THE L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3505.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER THE WEIGHT SUM OF EACH EVENT LIES WITHIN DESIRED BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. THE WEIGHTS IN PERM.INP MAY ALSO BE GENERATED AS PERM.INP IN STAT3246. K0-ELEMENT EVENTS ARE FILTERED FROM STAT3505.INP IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS FROM WHICH BIPARTITE 3-ELEMENT STRINGS CONSISTING OF THE HIGHTEST RANKING ELEMENTS BY WEIGHT PER EVENT ARE UTILIZED TO GENERATE HIGH-PROBABILITY K0-ELEMENT EVENTS. ========================================================================= -- L 3506 -- ( INTERCHANGING PAIRS OF ELEMENTS FROM SELECTED TRIADS OF ROWS AND PAIRS OF COLUMNS FROM A FIXED ( BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS OR INTERCHANGING PAIRS OF ELEMENTS OVER ALL K0 COLUMUNS SO AS TO SELECT EVENTS HAVING ELEMENTS WITH THE HIGHEST WEIGHTS OR PROBABLITIES IN SELECTED COLUMNS OF BASE.INP OVER ALL K0 ELEMENTS ) II ( VARIANT OF STAT3492 ) STAT3506 READS A FIXED ( 9 x K0 )-DIMENSIONAL BLOCK OF EVENTS FROM STAT3506.INP, A SELECTED SEQUENCE OF 2-DIMENSIONAL COLUMN INDEX VECTORS FROM STAT3506.IN2, AND A SEQUENCE OF L0 WEIGHTS OR PROBABILITIES OF L FROM WT(L).INP, GENERAED FROM STAT3247. EVENTS ARE GENERATED BY 3 METHODS: 1) FOR EACH SUCCESSIVE TRIAD OF INDEX VECTORS FROM STAT3506.IN2. FOR EACH SUCCESSIVE TRIAD OF EVENTS IN STAT3506.INP, TWO PAIRS OF ELEMENTS FROM THE MIDDLE EVENT OF THE TRIAD VS. EITHER THE LOWER OR UPPER ADJACENT EVENT ARE INTERCHANGED UTILIZING THE SELECTED COLUMN-INDEX VECTORS, THEREBY GENERATING A NEW BLOCK OF K0-ELEMENT EVENTS AND RECORDING THEM IN STAT3506.OUT. THE TOTAL NUMBER OF EVENTS RECORDED IS CMAX WHERE CMAX = BMAX + 3, FOR EACH ORIGINAL ( 9 X K0)-DIMENSIONAL BLOCK OF EVENTS IN STAT3506.INP; 2) INTERCHANGING K0 PAIRS OF COLUMN ELEMENTS FROM PAIRS OF ROWS AND CHOOSING THE ROW WITH EVEN INDEX PARITY FOR WHICH ELEMENTS WITH THE HIGHEST WEIGHTS ARE SELECTED; 3) INTERCHANGING K0 PAIRS OF COLUMN ELEMENTS FROM PAIRS OF ROWS AND CHOOSING THE ROW WITH ODD INDEX PARITY FOR WHICH ELEMENTS WITH THE HIGHEST WEIGHTS ARE SELECTED. A CUMULATIVE FILE OF ALL OUTCOMES IS RECORED IN CUMULAT.OUT FOR FURTHER ANALYSIS. STAT3506 IS A VARIANT OF STAT3492, BUT WEIGHTS, , J = 1, 2, ... , K0 ) II ( VARIANT OF STAT3504 ) STAT3508 READS A FIXED ( BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS FROM STAT3508.INP AND A SEQUENCE OF L0 WEIGHTS OR PROBABILITIES OF L FROM WT(L).INP CONTAINED IN AN ( L0 x K0 )-DIMENSIONAL BLOCK TACITLY GENERATED BY STAT3250 AS STAT3258.IN2 FOR EACH ROW I, WITH ( I = 1, ... , BMAX-1 ) AND ROW M ( M = I+1, ... , BMAX ), ELEMENT B(I,J) IS TACITLY INTERCHANGED WITH ELEMENT B(M,J) , IFF WT(B(I,J),J) .GT. WT(B(M,J),J) FOR EACH COLUMN J , J = 1, ... , K0. GENERATED EVENTS ARE RECORDED IN STAT3508.OUT FOR FURTHER ANALYSIS. A CUMULATIVE FILE OF ALL OUTCOMES IS RECORED IN CUMULAT.OUT FOR FURTHER ANALYSIS. STAT3508 IS A VARIANT OF STAT3492 AND STAT3503. STAT3508 GENERATES BMAX*(BMAX-1)/2 K0-ELEMENT EVENTS INTO STAT3508.OUT. ========================================================================= -- L 3509 -- (FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE FOR WHICH ALL K0 ELEMENTS RESIDE IN A FIXED PERMUTATION) ( VARIANT OF STAT3086 ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3509.INP, A FIXED Q0-ELEMENT PERMUTATION FROM PERM.INP ( GENERATED VIA STAT3246 AS PERM.OUT OR FROM STAT1015 AS PERM2.INP OR FROM STAT64 AS PERM.OUT OR FROM STAT172 OR FROM STAT1015 AS PERM2.INP , E.G. ) , A SEQUENCE OF L0 WEIGHTS OR PROBABILITIES FROM WT(L).INP , GENERATED BY EITHER STAT3246 OR ANOTHER ROUTINE AS WT(L).OUT, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN THE SEQUENCE < 1, 2 , ... , L0 > FROM BASE.INP. TEST EVENTS ARE FILTERED FROM STAT3509.INP AND AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER IT HAS AT LEAST KMIN ELEMENTS CONTAINED IN PERM.INP. [*]-QUALIFYING EVENTS ARE RANKED DESCENDING ORDER OF SUMS OF ELEMENT WEGHTS PER K0-ELEMENT EVENT AND RECORDED IN STAT94.INP. ========================================================================= -- L 3510 -- (FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE FOR WHICH ALL K0 ELEMENTS RESIDE IN A FIXED PERMUTATION) II ( VARIANT AND HYBRID OF STAT3509 AND STAT3086 ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3510.INP, A FIXED Q0-ELEMENT PERMUTATION FROM PERM.INP ( GENERATED VIA STAT3246 AS PERM.OUT OR FROM STAT1015 AS PERM2.INP OR FROM STAT64 AS PERM.OUT OR FROM STAT172 OR FROM STAT1015 AS PERM2.INP OR FROM STAT12, ET. AL., AN ( L0 x K0 )-DIMENSIONAL BLOCK OF PROBABILITIES OR WEIGHTS FROM WT(L).INP, GENERATED BY EITHER 3250 OR ANOTHER ROUTINE AS WT(L).OUT, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN THE SEQUENCE < 1, 2 , ... , L0 > FROM BASE.INP. TEST EVENTS ARE FILTERED FROM STAT3510.INP AND AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER IT HAS AT LEAST KMIN ELEMENTS CONTAINED IN PERM.INP. [*]-QUALIFYING EVENTS ARE RANKED DESCENDING ORDER OF SUMS OF ELEMENT WEGHTS PER K0-ELEMENT EVENT AND RECORDED IN STAT94.INP. STAT3510 IS A VARIANT OF STAT3509. HOWEVER, ELEMENT WEIGHTS ARE READ FROM A TWO DIMENTIONAL BLOCK IN WT(L).INP GENERATED BY STAT3250 AS WT(L).OUT. ========================================================================= -- L 3511 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS VI (VARIANT OF STAT3269, STAT3247, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3511 IS A VARIANT STAT3487 AND STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3511 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3511 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3511 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3511.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. STAT3511 IS A DERIVATIVE AND VARIANT OF STAT3269 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3511 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTCM1. K0-ELEMENT EVENTS ARE FILTERED INTO STAT94.INP FOR WHICH RELATIVE FREQUENCIES OF SUCCESS OVER IMAX STAR EVENT AND THE MOST RECENT NUMBER OF SUCCESSIVE FAILURES RESIDE IN THE FOLLOWING RANGES, RESPECTIVELY: [ REL1,REL2 ] AND [ MM1,MM2 ]. CF. ALSO STAT3501 FOR A COMPARISON OF CUMULATIVE PROBABILITIY PERCENTAGES FOR PDFs. ========================================================================= -- L 3512 -- MONITOR MATRIX GENERATOR XXXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS II ( VARIANT OF STAT3246 AND ELEMENT VERSION OF STAT3511 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC, POISSON, OR NEGATIVE BINOMIAL DISTRIBUTION FUNCTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3512 IS A VARIANT OF STAT3476, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3512 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3512 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3512 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3512 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, ALONG WITH THEIR RELATIVE FREQUENCIES AND THEIR MOST RECENT NUMBER OF SUCCESSIVE FAILURES TO OCCUR, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION, INDICATING THE PROBABILITY OF SUCCESS OF EACH L ON THE NEXT TRIAL AND DETERMINES THE CUMULATIVE PROBABILITY OF SUCCESS OF EACH L UP TO AND INCLUDING STAR INDEX IMAX ) STAT3514 READS A SEQUENCE OF L0 ELEMENTS FROM STAT3514.INP, GENERATED BY STAT3512, ALONG WITH THEIR RELATIVE FREQUENCIES AND THEIR MOST RECENT NUMBER OF SUCCESSIVE FAILURES TO OCCUR OVER THE LAST IMAX STAR EVENTS, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION, INDICATING THE PROBABILITY OF SUCCESS OF EACH L ON THE NEXT TRIAL (TRIAL # IMAX+1) AND DETERMINES, FOR EACH L, THE CUMULATIVE PROBABILITY OF SUCCESS OF L, UP TO AND INCLUDING STAR INDEX IMAX. OUTCOMES ARE RECORDED IN STAT3514.OT3 AND STAT3514.OT2, AND STAT3514.OUT FOR FURTHER ANALYSIS. CF. STAT3512. ========================================================================= -- L 3515 -- ( STAT3515 READS A SEQUENCE OF L0 ELEMENTS ALONG WITH THEIR RELATIVE FREQUENCIES AND THEIR MOST RECENT NUMBER OF SUCCESSIVE FAILURES TO OCCUR, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION, INDICATING THE PROBABILITY OF SUCCESS OF EACH L ON THE NEXT TRIAL AND DETERMINES THE CUMULATIVE PROBABILITY OF SUCCESS OF EACH L UP TO AND INCLUDING STAR INDEX IMAX ) ( VARIANT OF STAT3269 AND TEST EVENT ANAYSIS VERSION OF STAT3514 ) STAT3515 READS A SEQUENCE OF K0-ELEMENS EVVENTS FROM STAT3515.INP, GENERATED BY STAT3511, ALONG WITH THEIR RELATIVE FREQUENCIES AND THEIR MOST RECENT NUMBER OF SUCCESSIVE FAILURES TO OCCUR OVER THE LAST IMAX STAR EVENTS, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION, INDICATING THE PROBABILITY OF SUCCESS OF EACH EVENT ON THE NEXT TRIAL (TRIAL # IMAX+1) AND DETERMINES, FOR EACH EVENT, THE CUMULATIVE PROBABILITY OF SUCCESS OF EVENT L, UP TO AND INCLUDING STAR INDEX IMAX. OUTCOMES ARE RECORDED IN STAT3515.OT3 AND STAT3515.OT2, AND STAT3515.OUT FOR FURTHER ANALYSIS. CF. STAT3512. INPUT EVENTS IN STAT3515.INP ARE GENERATED BY STAT3511 AS STAT94.INP. CF. STAT3511. AND CF. STAT3514 FOR THE ELEMENT VERSION OF STAT3515. STAT3515 ANALYZES UP TO 500 TEST EVENTS IN STAT3515.INP AND RECORDS [*]-QUALIFYING K0-ELEMENT TEST EVENTS IN STAT94.INP OF STAT3515. ========================================================================= -- L 3516 -- MONITOR MATRIX GENERATOR XXXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS Iv ( VARIANT OF STAT3512 WITH ELEMENTS RESTRICTED TO A SELECTED COLUMN ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC, POISSON, OR NEGATIVE BINOMIAL DISTRIBUTION FUNCTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, RESTRICED TO A SELECTED COLUMN, ICOL IN { 1, 2, 3, ... , K0 }. THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3516 IS A VARIANT OF STAT3476, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3516 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3516 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3516 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3516 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). EVENTS FROM STAT3523.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT3523.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. INPUT EVENTS IN STAT3523.INP MAY BE TACITLY GENERATED BY STAT1438 AS STAT94.INP. CF. STAT1438. CF. / / STAT3168 FOR THE GENERATION OF STAT3523.INP AND CF. STAT2171 FOR THE GENERATION OF STAT3523.IN2. CF. ALSO STAT1606 AND STAT1504. / / A CUMULATIVE FILE OF EVENTS IS RECORDED IN CUMULAT.OUT. / / ========================================================================= -- L 3524 -- ( STAT3524 READS A SEQUENCE OF L0 ELEMENTS ALONG WITH THEIR RELATIVE FREQUENCIES AND THEIR MOST RECENT NUMBER OF SUCCESSIVE FAILURES TO OCCUR, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION, INDICATING THE PROBABILITY OF SUCCESS OF EACH L ON THE NEXT TRIAL AND DETERMINES THE CUMULATIVE PROBABILITY OF SUCCESS OF EACH L UP TO AND INCLUDING STAR INDEX IMAX ) STAT3524 READS A SEQUENCE OF L0 ELEMENTS FROM STAT3524.INP, GENERATED BY STAT3512, ALONG WITH THEIR RELATIVE FREQUENCIES AND THEIR MOST RECENT NUMBER OF SUCCESSIVE FAILURES TO OCCUR OVER THE LAST IMAX STAR EVENTS, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION, INDICATING THE PROBABILITY OF SUCCESS OF EACH L ON THE NEXT TRIAL (TRIAL # IMAX+1) AND DETERMINES, FOR EACH L, THE CUMULATIVE PROBABILITY OF SUCCESS OF L, UP TO AND INCLUDING STAR INDEX IMAX. OUTCOMES ARE RECORDED IN STAT3524.OT3 AND STAT3524.OT2, AND STAT3524.OUT FOR FURTHER ANALYSIS. CF. STAT3512. STAT3524 IS A VARIANT OF STAT3514. ========================================================================= -- L 3525 -- ( STAT3525 READS A SEQUENCE OF BMAX K0-ELEMENT EVENTS, ALONG WITH RELATIVE FREQUENCIES AND THEIR MOST RECENT NUMBER OF SUCCESSIVE FAILURES OCCURRING, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION, INDICATING THE PROBABILITY OF SUCCESS OF EACH L ON THE NEXT TRIAL AND DETERMINES THE CUMULATIVE PROBABILITY OF SUCCESS OF EACH TEST EVENT, UP TO AND INCLUDING STAR INDEX IMAX ) ( VARIANT OF STAT3269 AND TEST EVENT ANAYSIS VERSION OF STAT3514 ) STAT3525 READS A SEQUENCE OF K0-ELEMENTS EVENTS FROM STAT3525.INP, GENERATED BY STAT3511, ALONG WITH THEIR RELATIVE FREQUENCIES AND THEIR MOST RECENT NUMBER OF SUCCESSIVE FAILURES TO OCCUR OVER THE LAST IMAX STAR EVENTS, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION, INDICATING THE PROBABILITY OF SUCCESS OF EACH EVENT ON THE NEXT TRIAL (TRIAL # IMAX+1) AND DETERMINES, FOR EACH EVENT, THE CUMULATIVE PROBABILITY OF SUCCESS OF EVENT L, UP TO AND INCLUDING STAR INDEX IMAX. OUTCOMES ARE RECORDED IN STAT3525.OUT, STAT3525.OT2, AND STAT3525.OT3 FOR FURTHER ANALYSIS. CF. STAT3512. INPUT EVENTS IN STAT3525.INP ARE GENERATED BY STAT3511 AS STAT94.INP. CF. STAT3511. AND CF. STAT3514 FOR THE ELEMENT VERSION OF STAT3525. STAT3525 ANALYZES UP TO 500 TEST EVENTS IN STAT3525.INP AND RECORDS [*]-QUALIFYING K0-ELEMENT TEST EVENTS IN STAT94.INP OF STAT3525. STAT3525 IS A VARIANT OF STAT3515. CF. ALSO STAT3524 AND STAT3514 FOR THE TEST ELEMENT VERSIONS OF STAT3525. THE FILE STAT3525.INP IS GENERATED BY STAT1631 AS STAT3525.INP OR AS STAT3525.INP BY STAT3269. ========================================================================= -- L 3526 -- ( UTILIZING LINEAR EXTRAPOLATION TO DETERMINE, FOR A GIVEN EVENT, EITHER THE MAXIMUM PROBABILITY OF SUCCESS AFTER AT LEAST MM TRIALS OR THE MINIMUM NUMBER OF TRIALS MM REQUIRED TO ACHIEVE A DESIRED PROBABILITY OF SUCCESS ON THE NEXT TRIAL ) STAT3526 READS A PAIR OF VECTORS [ M1,X1 ] AND [ M2,X2 ] FROM STAT3526.INP (GENERATED BY STAT3501 AS STAT3526.INP), WHERE THE FIRST COMPONENT REPRESENTS THE MINIMUM TARGET FOR THE RECENT STRING OF FAILURES FOR A GIVEN EVENT AND THE SECOND COMPONENT REPRESENTS A MAXIMUM REAL-VALUED TARGET FOR THE PROBABILITY OF SUCCESS OF THE GIVEN EVENT AFTER A MINUMUM NUMBER OF M1 OR M2 TRIALS. THE ROUTINE THEN DETERMINES FOR A FIXED COMPONENT OF A THIRD VECTOR, THE REMAINING COMPONENT, UTILIZING LINEAR EXTRAPOLATION. THE OUTCOME IS SUBSEQUENTLY EMPLOYED IN STAT3525 OR STAT3524, WHERE STAT3426 IS UTILIZED TO PREDICT OUTCOMES OVER CUMULATIVE PROBABILITIES. ========================================================================= -- L 3527 -- ( DETERMINING SUB-PERMUTATIONS WITH ELEMENTS RANKED IN DESCENDING ORDER OF A PRESCRIBED OR SELECTED FILTERING CRITERION BASED UPON THE PROBABILITY OF SUCCESS ON THE NEXT TRIAL OF EACH ELEMENT ) STAT3527 READS A FIXED PERMUTATION IN PERM.INP (GENERATED BY STAT3246) ON THE ELEMENTS IN , WITH THE SEQUENCE OF ELEMENTS RANKED AND LISTED IN DESCENDING ORDER OF PROBABILITY OF SUCCESS ON THE NEXT TRIAL. SUB-PERMUTATIONS OF A DESIRED DIMENSION ARE GENERATED FOR ELEMENTS SATISFYING EACH ONE OF THE FOLLOWING CRITERIA: 1) EVEN UNITS DIGIT 2) ODD UNITS DIGIT 3) LOW 4) HIGH 5) UDLE4 6) UDGE5 7) EVEN TENS DIGIT AND 8) ODD TENS DIGIT. SUB-PERMUTATIONS ARE RECORDED IN PERM.OUT FOR INPUT INTO STAT2912 AS PERM.INP TO DETERMINE UNIONS OF SUB-PERMUTATIONS FOR FURTHER ANALYSIS IN STAT3121, FROM WHICH GENERATED K0-ELEMENT EVENTS ARE ANALYZED IN STAT3269 AS STAT3269.INP. ========================================================================= -- L 3528 -- ( DETERMINING SUB-PERMUTATIONS WITH ELEMENTS RANKED IN DESCENDING ORDER OF A PRESCRIBED OR SELECTED FILTERING CRITERION BASED UPON THE PROBABILITY OF SUCCESS ON THE NEXT TRIAL OF EACH ELEMENT ) II STAT3528 READS A FIXED PERMUTATION IN PERM.INP (GENERATED BY STAT3246) ON THE ELEMENTS IN , WITH THE SEQUENCE OF ELEMENTS RANKED AND LISTED IN DESCENDING ORDER OF PROBABILITY OF SUCCESS ON THE NEXT TRIAL. SUB-PERMUTATIONS OF A DESIRED DIMENSION ARE GENERATED FOR ELEMENTS SATISFYING EACH ONE OF THE FOLLOWING CRITERIA: 1) ELEMENT IS A UNITS DIGIT IN THE SET { 0,1,2, ... , 9 }; 2) ELEMENT IS IN THE SET { 10,11, ... , 19 }; 3) ELEMENT IS IN THE SET { 20,21, ... , 29 } ; 4) ELEMENT IS IN THE SET { 30,31, ... , 39 } ; 5) ELEMENT IS IN THE SET { 40,41, ... , 49 } ; 6) ELEMENT IS IN THE SET { 50,51, ... , 59 }; 7) ELEMENT IS IN THE SET { 60,61, ... , 69 } ; 8) ELEMENT IS IN THE SET { 70,71, ... , 79 }. SUB-PERMUTATIONS ARE RECORDED IN THE FILE PERM.OUT FOR INPUT INTO STAT2912 AS PERM.INP TO DETERMINE UNIONS OF SUB-PERMUTATIONS FOR FURTHER ANALYSIS IN STAT3121, FROM WHICH GENERATED K0-ELEMENT EVENTS ARE ANALYZED IN STAT3269 AS STAT3269.INP. STAT3528 IS A VARIANT OF STAT3527. ========================================================================= -- L 3529 -- ( DETERMINING SUB-PERMUTATIONS WITH ELEMENTS RANKED IN DESCENDING ORDER OF A PRESCRIBED OR SELECTED FILTERING CRITERION BASED UPON THE PROBABILITY OF SUCCESS ON THE NEXT TRIAL OF EACH ELEMENT ) III STAT3529 READS A FIXED PERMUTATION IN PERM.INP (GENERATED BY STAT3246) ON THE ELEMENTS IN , WITH THE SEQUENCE OF ELEMENTS RANKED AND LISTED IN DESCENDING ORDER OF PROBABILITY OF SUCCESS ON THE NEXT TRIAL. SUB-PERMUTATIONS OF A DESIRED DIMENSION ARE GENERATED FOR ELEMENTS SATISFYING EACH ONE OF THE FOLLOWING CRITERIA: 1) ELEMENT IS A UNITS DIGIT IN THE SET { 0,1,2, ... , 9 }; 2) ELEMENT IS IN THE SET { 10,11, ... , 19 }; 3) ELEMENT IS IN THE SET { 20,21, ... , 29 } ; 4) ELEMENT IS IN THE SET { 30,31, ... , 39 } ; 5) ELEMENT IS IN THE SET { 40,41, ... , 49 } ; 6) ELEMENT IS IN THE SET { 50,51, ... , 59 }; 7) ELEMENT IS IN THE SET { 60,61, ... , 69 } ; 8) ELEMENT IS IN THE SET { 70,71, ... , 79 }. SELECTED SUB-PERMUTATIONS ARE RECORDED IN THE FILES STAT3168.INP AND STAT201.INP FOR PROCESSING IN STAT3168 AND STAT201, RESPECTIVELY, FROM WHICH GENERATED K0-ELEMENT EVENTS ARE ANALYZED IN STAT3269 AS STAT3269.INP. STAT3529 IS A VARIANTOF STAT3528. ========================================================================= -- L 3530 -- ( DETERMINING K0-ELEMENT EVENTS FROM A FIXED L0-ELEMENT PERMUTATION BY SELECTING SCROLLING SUB-EVENTS BASED UPON AN INITIAL IMPRINT OF THE MOST RECENT K0-ELEMENT STAR EVENT ) STAT3530 READS A FIXED PERMUTATION IN PERM.INP (GENERATED BY STAT3246 AS PERM4.OUT) ON THE ELEMENTS IN , WITH THE SEQUENCE OF ELEMENTS RANKED AND LISTED IN DESCENDING ORDER OF PROBABILITY OF SUCCESS ON THE NEXT TRIAL, ALONG WITH THE CORRESPONDING STAR-ELEMENT SIGNATURE EACH ELEMENT. SCROLLING K0-ELEMENT EVENTS ARE GENERATED ON THE BASIS OF THE STAR ELEMENT SIGNATURE OF THE MOST RECENT K0-ELEMENT STAR EVENT AND RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. THE MOST RECENT STAR EVENT, ENTERED IN REAL-TIME BY THE ANALYST, IS RECORDED IN STAT3530.OUT, ALONG WITH ITS STAR-INDEX SIGNATURE. ========================================================================= -- L 3531 -- STAT3531 READS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3531.INP, SELECTIVELY DETERMINES EITHER THE MAXIMUM OR MINIMUM ELEMENT IN EACH COLOUMN OVER EACH CONSECUTIVE PAIR OF ROWS FOR UP TO 400 STAR EVENTS AND 1000 TEST EVENTS IN A GIVEN SEQUENCE. STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS. CF. ALSO STAT94. ========================================================================= -- L 3532 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC, POISSON, OR NEGATIVE BINOMIAL DISTRIBUTION FUNCTION ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3532 IS A VARIANT OF STAT3246, ANALYZING EACH FIXED ELEMENT OF T, RATHER THAN INTERSECTIONS OF K0-ELEMENT EVENTS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3532 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3532 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3532 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3532 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3533 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3533 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3533, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. STAT3533 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. STAT3269. ========================================================================= -- L 3534 -- ( DETERMINING K0-ELEMENT EVENTS FROM FRONT AND BACK DIAGONAL PAIRS OF TENS AND UNITS DIGITS IN BIPARTITE PAIRS OF TEST EVENTS FROM A FIXED ( BMAX x K0 )-DIMENSIONAL BLOCK ) STAT3434 READS A (BMAX x K0)-DIMENSIONAL BLOCK OF K0-ELEMENT EVENTS FROM STAT3534.INP AND GENERATES A SEQUENCE OF K0-ELEMENT EVENTS INTO STAT3534.OUT BY SELECTING FRONT AND BACK DIAGONAL PAIRS OF TENS AND UNITS DIGITS IN BIPARTITE PAIRS OF INPUT TEST EVENTS. SELECTED ELEMENTS ARE TRANSLATED AND ALL ELEMENTS ARE ADJUSTED EITHER (MOD L0) OR (MOD M0), WHERE L0 IS THE MAXIMUM ELEMENT MODULUS AND M0 IS THE MAXIMUM POWER ELEMENT MODULUS IN COLUMN 6. ========================================================================= -- L 3535 -- STAR3535 READS A SEQUENCE OF K0 BASE SETS OF VARIABLE SIZES N1,N2,N3 FROM STAT3535.INP AND GENERATES K0-ELEMENT EVENTS WHICH CONTAIN 2 DISTINCT REPRESENTATIVES FROM EACH OF THE K0 BASE SETS WITH, E.G., K0 = 6. K0 CAN RANGE BETWEEN 2 AND 6. THE MAXIMUM BASE SET SIZES ARE SUCH THAT N1*N2*N3 < 6400/K0. THE TOTAL NUMBER OF EVENTS IS LIMITED, AS DESIRED. THE ANALYST IS PROMPTED FOR THE MAXIMUM NUMBER OF EVENTS DESIRED AND THE INDEX OF THE STARTING OR INITIAL EVENT DESIRED, FROM WHICH THE ROUTINE DETERMINES THE APPROPRIATE STEP-SIZE FOR PRINTING THE DESIRED NUMBER OF EVENTS. STAT2986 MAY BE UTILIZED TO CHECK INTERSECTIONS VS. STAR EVENTS. STAT3535 IS A VARIANT OF STAT3168. CF. STAT201 AND STAT3168. STAT3535.INP CAN BE GENERATED BY STAT3533. ========================================================================= -- L 3536 -- (FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS) ( VARIANT OF STAT3086 AND TEST EVENT VERSION OF STAT3485 ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3536.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM PERM.INP ( GENERATED VIA STAT2916, AS PERM.OUT OR FROM STAT1015 AS PERM2.INP OR FROM STAT64 AS PERM.INP OR FROM STAT172 OR FROM STAT1015 AS PERM2.INP , E.G. ) AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN THE SEQUENCE < 1, 2 , ... , L0 > FROM BASE.INP. PERM.INP MAY ACTUALLY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS COMPUTED FOR THE L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3536.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER THE WEIGHT OF EACH ELEMENT LIES WITHIN DESIRED BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. THE WEIGHTS IN PERM.INP MAY ALSO BE GENERATED AS PERM.INP IN STAT3246. CF. STAT3086 FOR REAL-VALUED WEIGHTS OF ELEMENTS IN WT(L).INP. ========================================================================= -- L 3537 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXXI ( VARIANT OF STAT1631, UTILIZING A POISSON PROBABILITY DISTRIBUTION ) STAT3537 READS A LARGE SEQUENCE (E.G., UP TO 10,000 OR MORE INPUT TEST EVENTS) FROM STAT3537.INP AND IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3537.INP IS READ AS A FIXED BLOCK OF K0-ELEMENT EVENTS AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF BLOCKS OF K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE, M0, E.G., M0 = 1 , 2 , 3 , 4 , ... , 100. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT3537 FILTERS TEST EVENTS FROM STAT3537.INP INTO STAT1631.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3537.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TMAX .LE. T2 , WHERE TMAX IS THE EXPECTED NUMBER OF STAR INDICES OVER WHICH A [*]-QUALIFYING TEST EVENT SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED AND T2 = -1.0*KCT, WHERE KCT IS THE OCCURRENCE CADENCE OF SUCCESS. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3537 IS A VARIANT OF STAT3537, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3537.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, AN EVENT IS [*]-QUALIFIED IFF TTMAX = (IMAX+1)-H(II) .EQ. KCT, WHERE KCT IS THE OCC. CADENCE. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3537 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3537 USES A SEQUENCE OF CONSECUTIVE INDICES VS. TMAX TO GENERATE THE SPECTRUM OF BLOCKS OF EVENTS WHOSE VALUES OF TMAX MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT1631. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. CF. STAT2758. EVENTS IN STAT94.INP ARE RANKED IN DESCENDING ORDER OF VMAX = REAL(TMAX) / REAL(KCT). STAT3537 IS A VARIANT OF STAT3417, AND STAT1618, UTILIZING A POISSON PROBABILITY DISTRIBUTION. STAT3537 GENERATES THE CRITICAL FILE STAT3525.INP. CF. STAT3525.BAT. CF. ALSO STAT1631 AND STAT1618. ========================================================================= -- L 3538 -- ( DETERMINING WEIGHTS OF ELEMENTS FROM < 1,2, ... , L0 > WITH DESCENDING VALUES, WT(L) = LAST STAR INDEX DISPLACEMENT(GAP) - MEAN STAR INDEX DISPLACEMENT(GAP) FOR EACH ELEMENT, L ) ( DUAL OF STAT3539 ) STAT3538 READS FROM STAT3538 (GENERATED BY STAT3246), FOR EACH ELEMENT L IN < 1, 2, ... , L0 >, A SEQUENCE OF STAR INDEX OCCURRENCE DISPLACEMENTS(GAPS), DETERMINES THE MEAN STAR INDEX DISPLACEMENT (GAP) FOR EACH L, AND DETERMINES, FOR EACH L, THE WEIGHT, WT(L) = FINAL STAR INDEX DISPLACEMENT(GAP) - MEAN STAR INDEX DISPLACEMENT(GAP). AND RECORDS WEIGHTS IN PERM.OUT FOR FURTHER ANALYSIS IN STAT3536 OR ANOTHER ROUTINE IN DESCENDING ORDER. ========================================================================= -- L 3539 -- ( DETERMINING WEIGHTS OF ELEMENTS FROM < 1,2, ... , L0 > WITH ASCENDING VALUES, WT(L) = LAST STAR INDEX DISPLACEMENT(GAP) - MEAN STAR INDEX DISPLACEMENT(GAP) FOR EACH ELEMENT, L ) ( DUAL OF STAT3538 ) STAT3539 READS FROM STAT3539 (GENERATED BY STAT3246), FOR EACH ELEMENT L IN < 1, 2, ... , L0 >, A SEQUENCE OF STAR INDEX OCCURRENCE DISPLACEMENTS(GAPS), DETERMINES THE MEAN STAR INDEX DISPLACEMENT (GAP) FOR EACH L, AND DETERMINES, FOR EACH L, THE WEIGHT, WT(L) = FINAL STAR INDEX DISPLACEMENT(GAP) - MEAN STAR INDEX DISPLACEMENT(GAP). AND RECORDS WEIGHTS IN PERM.OUT FOR FURTHER ANALYSIS IN STAT3536 OR ANOTHER ROUTINE IN ASCENDING ORDER. ========================================================================= -- L 3540 -- ( DETERMINING WEIGHTS OF ELEMENTS FROM < 1,2, ... , L0 > WITH DESCENDING VALUES, WT(L) = LAST STAR INDEX DISPLACEMENT(GAP) - MEAN STAR INDEX DISPLACEMENT(GAP) FOR EACH ELEMENT, L, VIA A GAUSSIAN DISTRIBUTION ) ( GAUSSIAN DUAL OF STAT3538 AND STAT3539 ) STAT3540 READS FROM STAT3540 (GENERATED BY STAT3246), FOR EACH ELEMENT L IN < 1, 2, ... , L0 >, A SEQUENCE OF STAR INDEX OCCURRENCE DISPLACEMENTS(GAPS), DETERMINES THE MEAN STAR INDEX DISPLACEMENT (GAP) FOR EACH L, AND DETERMINES, FOR EACH L, THE WEIGHT, WT(L) = FINAL STAR INDEX DISPLACEMENT(GAP) - MEAN STAR INDEX DISPLACEMENT(GAP). AND RECORDS WEIGHTS IN PERM.OUT FOR FURTHER ANALYSIS IN STAT3536 OR ANOTHER ROUTINE IN DESCENDING ORDER. STAT3540 INCORPORATES AND UTILIZES A GAUSSIAN OR NORMAL DISTRIBUTION TO RANK THE ELEMENTS RECORDED IN PERM2.INP. ========================================================================= -- L 3541 -- ( GENERATING ALL (Q0 x BMAX) EVENTS FROM THE BIPARTITE UNION OF EACH ONE OF BMAX (K0-1)-ELEMENT EVENTS VS. EACH ELEMENT OF A Q0-ELEMENT PERMUTATION ) READS A SET BMAX OF (K0-1)-ELEMENT EVENTS FROM STAT3541.INP, AND A Q0-ELEMENT PERMUTION FROM PERM.INP. ALL (Q0 x BMAX ) EVENTS ARE GENERATED FROM THE JUXTAPOSITION OF EACH EVENT IN STAT3541.INP WITH EACH ELEMENT OF PERM.INP. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. ========================================================================= -- L 3542 -- ( GENERATING K0-ELEMENT EVENTS FROM EACH PERMUTATION BY APPENDING J1-ELEMENT STRINGS WITH J2-ELEMENT PAIRS, TRIADS, QUADRUPLET, QUINTUPLET, OR SINGLE ELEMENTS ) READS A BLOCK OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND TACITLY GENERATES K0-ELEMENT EVENTS FROM EACH PERMUTATION BY APPENDING J1-ELEMENT STRINGS WITH J2-ELEMENT PAIRS, TRIADS, QUINTUPLET, QUINTUPLET, OR SINGLE ELEMENTS. GENERATED K0-ELEMENT EVENTS ARE RECORDED IN STAT94.INP. K0-ELEMENT EVENTS ARE GENERATED VIA EITHER ONE OF THE FOLLOWING METHODS SELECTED: 1 ) 4-STRING OR 5-STRING UNION A SINGLE ELEMENT 2 ) 3-STRING OR 4-STRING UNION ELEMENT PAIRS 3 ) 2-STRING OR 3-STRING UNION ELEMENT TRIADS 4 ) A SINGLE ELEMENT UNION ELEMENT QUADRUPLETS OR QUINTUPLETS A CUMULATIVE FILE OF ALL K0-ELEMENT EVENTS IS RECORED IN CUMULAT.OUT FOR FURTHER ANALYSIS. ========================================================================= -- L 3543 -- ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF SUMS OF PROBABILITY WEIGHTS OVER SETS OF K0 ELEMENTS DETERMINED OVER THE FIXED ( IMAX x K0 )-DIMENSIONAL STAR EVENT BLOCK, BASED UPON EITHER A NEGATIVE-BINOMIAL OR GEOMETRIC PROBABILITY DISTRIBUTION FOR ALL ELEMENTS WITH WEIGHT-SUM AVERAGE OF EACH QUALIFIED K0-ELEMENT EVENT WITHIN XUB DESIRED REAL-VALUED UNITS OF THE WEIGHT_SUM AVERAGE OVER ALL L0 ELEMENTS ) II ( VARIANT OF STAT3272, STAT3273, STAT543, STAT3258 AND STAT3266 ) READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, A SEQUENCE OF L0-DIMENSIONAL PROBABILITY WEIGHTS OF ELEMENTS FROM PERM.IN2 WHICH IS GENERATED VIA STAT3246, E.G., AS WT(L).INP FOR USAGE BY STAT3543 OR STAT3320 AND MAY CONSIST OF GENERIC WEIGHTS FOR L0 ELEMENTS AND AN ARBITRARILY LARGE SEQUENCE OF TRANSLATION EVENTS IN STAT3543.INP. TEST EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS [*]-QUALIFIED WHENEVER ELEMENT THE SUM OF WEIGHTS OVER K0 COLUMNS LIES WITHIN BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3543 IS A VARIANT OF STAT3272. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE NOT DETERMINED IN REAL-TIME FROM STAT3250. CF. STAT3091, STAT3258, STAT3266, STAT543, AND STAT3273. ACCOMODATING CYCLIC EVENTS, QUALIFIED K0-ELEMENT EVENTS ARE WITHIN XUB DESIRED REAL-VALUED UNITS UNITS OF THE WEIGHT_SUM AVERAGE OVER ALL L0 ELEMENTS. MOREOVER, A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT3544 FOR THE K0-ELEMENT TEST EVENT VERSION OF STAT3543. ========================================================================= -- L 3544 -- ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A PERMUTATION OF SIZE n AND RANKING K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE IN DESCENDING ORDER OF SUMS OF PROBABILITY WEIGHTS OVER SETS OF K0 ELEMENTS DETERMINED OVER THE FIXED ( IMAX x K0 )-DIMENSIONAL STAR EVENT BLOCK, BASED UPON EITHER A NEGATIVE-BINOMIAL OR GEOMETRIC PROBABILITY DISTRIBUTION FOR ALL ELEMENTS WITH WEIGHT-SUM AVERAGE OF EACH QUALIFIED K0-ELEMENT EXCEEDING OR EQUAL TO SOME DESIRED REAL-VALUE, XUB. III ( VARIANT OF STAT3543, STAT3273, STAT543, STAT3258 AND STAT3266 ) READS A SINGLE Q0-ELEMENT PERMUTATION FROM PERM.INP, A SEQUENCE OF L0-DIMENSIONAL PROBABILITY WEIGHTS OF ELEMENTS FROM PERM.IN2 WHICH IS GENERATED VIA STAT3246, E.G., AS WT(L).INP FOR USAGE BY STAT3544 OR STAT3320 AND MAY CONSIST OF GENERIC WEIGHTS FOR L0 ELEMENTS AND AN ARBITRARILY LARGE SEQUENCE OF TRANSLATION EVENTS IN STAT3544.INP. TEST EVENTS ARE FILTERED FROM PERM.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS [*]-QUALIFIED WHENEVER ELEMENT THE SUM OF WEIGHTS OVER K0 COLUMNS LIES WITHIN BOUNDS SELECTED IN REAL-TIME BY THE ANALYST. STAT3544 IS A VARIANT OF STAT3543. HOWEVER, PROBABILITY WEIGHTS OF ELEMENTS ARE NOT DETERMINED IN REAL-TIME FROM STAT3250. CF. STAT3091, STAT3258, STAT3266, STAT543, AND STAT3273. ACCOMODATING CYCLIC EVENTS, QUALIFIED K0-ELEMENT EVENTS EQUAL OR EXCEED SOME DESIRED REAL-VALUE XUB. A CUMULATIVE FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. STAT3544 FOR THE K0-ELEMENT TEST EVENT VERSION OF STAT3544. ========================================================================= -- L 3545 -- (FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS, BASED UPON A DISTRIBUTION FOR ALL ELEMENTS WITH WEIGHT-SUM AVERAGE OF EACH QUALIFIED K0-ELEMENT EVENT WITHIN XUB DESIRED REAL-VALUED UNITS OF THE WEIGHT_SUM AVERAGE OVER ALL L0 ELEMENTS ) ( VARIANT OF STAT3086 AND TEST EVENT VERSION OF STAT3485 ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3545.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM PERM.INP ( GENERATED VIA STAT2916, AS PERM.OUT OR FROM STAT1015 AS PERM2.INP OR FROM STAT64 AS PERM.INP OR FROM STAT172 OR FROM STAT1015 AS PERM2.INP , E.G. ) AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN THE SEQUENCE < 1, 2 , ... , L0 > FROM BASE.INP. PERM.INP MAY ACTUALLY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS COMPUTED FOR THE L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3545.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ITS AVERAGE ELEMENT WEIGHT SUM LIES WITHIN A DESIRED XUB REAL-VALUED UNITS OF THE WEIGHT_SUM AVERAGE OVER ALL L0 ELEMENTS. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. THE WEIGHTS IN WT(L).INP ARE GENERATED BY STAT3246 AS WT(L).OUT. CF. STAT3543 FOR THE PERMUTATION VERS8ON OF STAT3545. CF. ALSO STAT3536. ========================================================================= -- L 3546 -- (FILTERING AND RANKING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS, BASED UPON A DISTRIBUTION FOR ALL ELEMENTS WITH WEIGHT-SUM AVERAGE OF EACH QUALIFIED K0-ELEMENT EVENT EXCEEDING OR EQUAL TO SOME DESIRED LOWER BOUND, XUB ) IV ( VARIANT OF STAT3545 AND TEST EVENT VERSION OF STAT3485 ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3546.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM PERM.INP ( GENERATED VIA STAT2916, AS PERM.OUT OR FROM STAT1015 AS PERM2.INP OR FROM STAT64 AS PERM.INP OR FROM STAT172 OR FROM STAT1015 AS PERM2.INP , E.G. ) AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN THE SEQUENCE < 1, 2 , ... , L0 > FROM BASE.INP. PERM.INP MAY ACTUALLY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS COMPUTED FOR THE L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3546.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. AN EVENT IS FILTERED AS [*]-QUALIFIED WHENEVER ITS AVERAGE ELEMENT WEIGHT SUM OVER ITS K0 ELEMENTS EXCEEDS OR EQUALS SOME DESIRED LOWER BOUND, XUB. [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. THE WEIGHTS RESIDING IN WT(L).INP ARE GENERATED BY STAT3246 AS WT(L).OUT. CF. STAT3543 FOR THE PERMUTATION VERS8ON OF STAT3546. CF. ALSO STAT3536. ========================================================================= -- L 3547 -- (DETERMINES, FOR A SEQUENCE OF N INDEPENDENT K0-ELEMENT EVENTS WITH KNOWN PROBABILITIES, P(1),P(2), ... , P(N) , THE PROBABILITY P(AT LEAST ONE OF THE N KNOWN EVENTS WILL OCCUR ON THE NEXT TRIAL) WHERE K0 = 5 OR 6 AND N = 2, 3, 4, OR 5 ) READS A SEQUENCE OF N INDEPENDENT K0-ELEMENT EVENTS FROM STAT3547.INP, ALONG WITH THEIR N CORRESPONDING PROBABILITIES, P(1), P(2), ... , P(N) WITH N = 2, 3, 4, OR 5, AND K0 = 5 OR 6, AND TACITLY DETERMINES THE PROBABILITY P(AT LEAST ONE OF THE N KNOWN EVENTS WILL OCCUR ON THE NEXT TRIAL). STAT3546, STAT3545, STAT3544 OR STAT3543 MAY BE UTILIZED TO GENERATE STAT3547.INP AS STAT94.INP. ========================================================================= -- L 3548 -- (DETERMINES, FOR A SEQUENCE OF N INDEPENDENT K0-ELEMENT EVENTS WITH WIIH KNOWN PROBABILITIES, P(1),P(2), ... , P(N) , THE PROBABILITY P(AT LEAST ONE EVENT WITH INDEX IN [ K1,K2,K3 ] OCCURS ON THE NEXT TRIAL), WHERE K0 = 5 OR 6 AND N = 2, 3, 4, ... 75 ) READS AN ARBITRARILY LARGE SEQUENCE OF TRIADS OF INDICES FROM STAT3548.IN2 AND A SEQUENCE OF UP TO N=75 INDEPENDENT K0-ELEMENT EVENTS FROM STAT3548.INP, ALONG WITH THEIR N CORRESPONDING PROBABILITIES, P(1), P(2), ... , P(N). THE ROUTINE THEN DETERMINES FOR EACH TRIAD OF INDICES, THE PROBABALITY P(AT LEAST 1 OF THE EVENTS WITH INDICES IN [ K1,K2,K3 ] WILL OCCUR ON THE NEXT TRIAL). STAT3546, STAT3544, STAT3544 OR STAT3544 MAY BE UTILIZED TO GENERATE STAT3548.INP AS STAT94.INP. STAT12 MAY BE UTILIZED TO GENERATE THE TRIADS OF INDICES IN STAT3548.IN2. CF. ALSO STAT3547. THE K0-ELEMENT EVENTS CORRESPONDING TO THE HIGHTEST RANKING TRIAD OF INDICES FROM STAT3548.OUT ARE RECORDED IN STAT94.INP. ========================================================================= -- L 3549 -- (DETERMINES, FOR A SEQUENCE OF N INDEPENDENT K0-ELEMENT EVENTS WITH WIIH KNOWN PROBABILITIES, P(1),P(2), ... , P(N) , THE PROBABILITY P(AT LEAST ONE EVENT WITH INDEX IN [ K1,K2,K3,K4 ] OCCURS ON THE NEXT TRIAL), WHERE K0 = 5 OR 6 AND N = 2, 3, 4, ... 75 ) READS AN ARBITRARILY LARGE SEQUENCE OF QUADRUPLETS OF INDICES FROM STAT3549.IN2 AND A SEQUENCE OF UP TO N=75 INDEPENDENT K0-ELEMENT EVENTS FROM STAT3549.INP, ALONG WITH THEIR N CORRESPONDING PROBABILITIES, P(1), P(2), ... , P(N). THE ROUTINE THEN DETERMINES FOR EACH QUADRUPLET OF INDICES, THE PROBABALITY P(AT LEAST 1 OF THE EVENTS WITH INDICES IN [ K1,K2,K3,K4 ] WILL OCCUR ON THE NEXT TRIAL). STAT3546, STAT3544, STAT3544 OR STAT3544 MAY BE UTILIZED TO GENERATE STAT3549.INP AS STAT94.INP. STAT12 MAY BE UTILIZED TO GENERATE THE QUADRUPLETS OF INDICES IN STAT3549.IN2. CF. ALSO STAT3547. THE K0-ELEMENT EVENTS CORRESPONDING TO THE HIGHTEST RANKING QUADRUPLET OF INDICES FROM STAT3549.OUT ARE RECORDED IN STAT94.INP. ========================================================================= -- L 3550 -- (DETERMINES, FOR A SEQUENCE OF N INDEPENDENT K0-ELEMENT EVENTS WITH WIIH KNOWN PROBABILITIES, P(1),P(2), ... , P(N) , THE PROBABILITY P(AT LEAST ONE EVENT WITH INDEX IN [ K1,K2,K3,K4,K5 ] OCCURS ON THE NEXT TRIAL), WHERE K0 = 5 OR 6 AND N = 2, 3, 4, ... 75 ) READS AN ARBITRARILY LARGE SEQUENCE OF QUINTUPLETS OF INDICES FROM STAT3550.IN2 AND A SEQUENCE OF UP TO N=75 INDEPENDENT K0-ELEMENT EVENTS FROM STAT3550.INP, ALONG WITH THEIR N CORRESPONDING PROBABILITIES, P(1), P(2), ... , P(N). THE ROUTINE THEN DETERMINES FOR EACH QUINTUPLET OF INDICES, THE PROBABALITY P(AT LEAST 1 OF THE EVENTS WITH INDICES IN [ K1,K2,K3,K4,K5 ] WILL OCCUR ON THE NEXT TRIAL). STAT3546, STAT3544, STAT3544 OR STAT3544 MAY BE UTILIZED TO GENERATE STAT3550.INP AS STAT94.INP. STAT12 MAY BE UTILIZED TO GENERATE THE QUINTUPLETS OF INDICES IN STAT3550.IN2. CF. ALSO STAT3547. THE K0-ELEMENT EVENTS CORRESPONDING TO THE HIGHTEST RANKING QUINTUPLET OF INDICES FROM STAT3550.OUT ARE RECORDED IN STAT94.INP. ========================================================================= -- L 3551 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF PERMUTATIONS ) XXXXII ( VARIANT OF STAT1631, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION ) ( PERMUTATION VERSION OF STAT1631 ) STAT3551 READS A LARGE SEQUENCE OF INPUT PERMUTATIONS FROM PERM.INP AND IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH PERMUTATION IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP AND INTERSECTION PATTERNS ARE OBSERVED. THE ROUTINE FILTERS A SEQUENCE OF BLOCKS OF P0-ELEMENT PERMUTATIONS OF A DESIRED BLOCK-SIZE, M0, E.G., M0 = 1 , 2 , 3 , 4 , ... , 100. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF PERMS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH PERMUTATION. MOREOVER, OUTPUT PERMUTATIONS ARE PRINTED IN THE FILE PERM.OUT FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN EACH PERMUTATION AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE STAT3551 ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF PERMUTATIONS. STAT3551 FILTERS PERMUTATIONS FROM PERM.INP INTO STAT3551.OUT AND PERM.OUT. INPUT BLOCKS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED IFF, TMAX LIES IN [T1,T2] , WHERE TMAX IS THE EXPECTED NUMBER OF STAR INDICES OVER WHICH A [*]-QUALIFYING PERMUTATION SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED, WHERE KCT IS THE OCCURRENCE CADENCE OF SUCCESS OVER ALL STAR EVENTS. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3551 IS A VARIANT OF STAT1631, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING BLOCKS OF P0-ELEMENT PERMS. HOWEVER, AN EXTENDED SET OF STAR INDICES IS USED IN SELECTING QUALIFYING BLOCKS OF PERMS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3551 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3551 USES A SEQUENCE OF CONSECUTIVE INDICES VS. TMAX TO GENERATE THE SPECTRUM OF BLOCKS OF PERMS WHOSE VALUES OF TMAX MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3551. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. CF. STAT2758. PERMS IN PERM.OUT ARE RANKED IN DESCENDING ORDER OF VMAX = REAL(TMAX) / REAL(KCT). STAT3551 IS A VARIANT OF STAT3417, AND STAT1631, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION. A CUMULATIVE FILE OF [*]-QUALIFYING PERMUTATIONS IS RECORDED IN CUMULAT.OUT FOR FURTHER ANALYSIS. CF. STAT3320. ========================================================================= -- L 3552 -- ( RANKING THE IMAX ELEMENTS FROM THE FUNCTIONAL VALUES OR WEIGHTS OF EACH PERMUTATION OF A LARGE BLOCK AS A SEQUENCE IN EITHER DESCENDING OF ASCENDING ORDER OF FUNCTIONAL VALUES OR WEIGHTS OF ELEMENTS OVER ALL L IN , L = 1 , ... , L0 ) READS AN (IMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP AND PMAX BLOCKS OF L0 WEIGHTS , , L = 1, 2, ... , L0 IN PERM.INP. THE L0 ELEMENTS CORRESPONDIG TO EACH PERMUTATION WEIGHT OF EACH INPUT PERMUTATION IN PERM.INP ARE THEN RANKED IN EITHER DESCENDING OR ASCENDING ORDER OF WEIGHTS OR FUNCTIONAL VALUES OF ELEMENTS L FROM , L = 1 , ... , L0 ) AND RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. STAT3552 IS A VARIANT OF STAT3213. THE SEQUENCE OF ELEMENT WEIGHTS IN PERM.INP MAY BE GENERATED BY STAT1015 AS WT(L).OUT, WHEREAS THE SEQUENCE OF INPUT PERMUTATIONS IN PERM2.INP MAY BE GENERATED BY STAT12, STAT1015, STAT1619, STAT3213, STAT3246, STAT2349, ET AL. ========================================================================= -- L 3553 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXXI ( VARIANT OF STAT1618, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION ) STAT3553 READS A LARGE SEQUENCE (E.G., UP TO 10,000 OR MORE INPUT TEST EVENTS) FROM STAT3553.INP AND IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3553.INP IS READ AS A FIXED BLOCK OF K0-ELEMENT EVENTS AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF BLOCKS OF K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE, M0, E.G., M0 = 1 , 2 , 3 , 4 , ... , 100. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT3553 FILTERS TEST EVENTS FROM STAT3553.INP INTO STAT3553.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3553.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TMAX .LE. T2 , WHERE TMAX IS THE EXPECTED NUMBER OF STAR INDICES OVER WHICH A [*]-QUALIFYING TEST EVENT SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED AND T2 = -1.0*KCT, WHERE KCT IS THE OCCURRENCE CADENCE OF SUCCESS. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3553 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3553.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, AN EXTENDED SET OF STAR INDICES ARE USED IN SELECTING QUALIFYING BLOCKS OF TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3553 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3553 USES A SEQUENCE OF CONSECUTIVE INDICES VS. TMAX TO GENERATE THE SPECTRUM OF BLOCKS OF EVENTS WHOSE VALUES OF TMAX MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3553. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. CF. STAT2758. EVENTS IN STAT94.INP ARE RANKED IN DESCENDING ORDER OF VMAX = REAL(TMAX) / REAL(KCT). STAT3553 IS A VARIANT OF STAT3417, AND STAT1618, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION. STAT3553 GENERATES THE CRITICAL FILE STAT3525.INP. CF. STAT3525.BAT. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT FOR FURTHER ANALYSIS. STAT3553 IS A VARIANT OF STAT1631. CF. STAT1631. ========================================================================= -- L 3554 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS GENERATED FROM ALL [ M0 C K0 ] TEST EVENTS FROM A FIXED PERMUTATION OF SIZE M0 FOR THE CASES K0 = 5 AND 6 ) ( VARIANT OF STAT3553, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION ) STAT3554 READS A COMPLETE SET OF [ M0 C K0 ] K0-ELEMENT TEST EVENTS FROM A FIXED PERMUTATION OF SIZE M0 AND READS IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND EACH GENERATED EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE IS AUTOMATICALLY TERMINATED WHEN A DESIRED NUMBER OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT3554 FILTERS TEST EVENTS FROM STAT3554.INP INTO STAT3554.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3554.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TMAX .LE. T2 , WHERE TMAX IS THE EXPECTED NUMBER OF STAR INDICES OVER WHICH A [*]-QUALIFYING TEST EVENT SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED AND T2 = -1.0*KCT, WHERE KCT IS THE OCCURRENCE CADENCE OF SUCCESS. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3554 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3554.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, AN EXTENDED SET OF STAR INDICES ARE USED IN SELECTING QUALIFYING BLOCKS OF TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3554 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3554 USES A SEQUENCE OF CONSECUTIVE INDICES VS. TMAX TO GENERATE THE SPECTRUM OF BLOCKS OF EVENTS WHOSE VALUES OF TMAX MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3554. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. CF. STAT2758. EVENTS IN STAT94.INP ARE RANKED IN DESCENDING ORDER OF VMAX = REAL(TMAX) / REAL(KCT). STAT3554 IS A VARIANT OF STAT3417, AND STAT1618, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION. STAT3554 GENERATES THE CRITICAL FILE STAT3525.INP. CF. STAT3525.BAT. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT FOR FURTHER ANALYSIS. STAT3554 IS A VARIANT OF STAT1631 AND STAT3555. PERM.INP MAY BE GENERATED VIA STAT3246 AS PERM.INP. ========================================================================= -- L 3555 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS GENERATED FROM ALL [ M0 C K0 ] TEST EVENTS FROM A FIXED PERMUTATION OF SIZE M0 FOR THE CASES K0 = 5 AND 6 ) ( VARIANT OF STAT3553, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION ) STAT3555 READS A COMPLETE SET OF [ M0 C K0 ] K0-ELEMENT TEST EVENTS FROM A FIXED PERMUTATION OF SIZE M0 AND READS IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND EACH GENERATED EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE IS AUTOMATICALLY TERMINATED WHEN A DESIRED NUMBER OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT3555 FILTERS TEST EVENTS FROM STAT3555.INP INTO STAT3555.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3555.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TMAX .LE. T2 , WHERE TMAX IS THE EXPECTED NUMBER OF STAR INDICES OVER WHICH A [*]-QUALIFYING TEST EVENT SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED AND T2 = -1.0*KCT, WHERE KCT IS THE OCCURRENCE CADENCE OF SUCCESS. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3555 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3555.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, AN EXTENDED SET OF STAR INDICES ARE USED IN SELECTING QUALIFYING BLOCKS OF TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3555 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3555 USES A SEQUENCE OF CONSECUTIVE INDICES VS. TMAX TO GENERATE THE SPECTRUM OF BLOCKS OF EVENTS WHOSE VALUES OF TMAX MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3555. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. CF. STAT2758. EVENTS IN STAT94.INP ARE RANKED IN DESCENDING ORDER OF VMAX = REAL(TMAX) / REAL(KCT). STAT3555 IS A VARIANT OF STAT3417, AND STAT1618, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION. STAT3555 GENERATES THE CRITICAL FILE STAT3525.INP. CF. STAT3525.BAT. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT FOR FURTHER ANALYSIS. STAT3555 IS A VARIANT OF STAT1631 AND STAT3554. PERM.INP MAY BE GENERATED VIA STAT3246 AS PERM.INP. ========================================================================= -- L 3556 -- ( GENERATING V0-ELEMENT PERMUTATIONS BY CYCLICALLY ADDING UNITS (MOD L0) TO EACH ELEMENT OF EACH FIXED V0-ELEMENT PERMUTATION ) STAT3556 READS A LARGE SEQUENCE OF QMAX V0-ELEMENT PERMUTATIONS FROM PERM.INP, WHICH IS UTILIZED TO GENERATE A SEQUENCE OF HIGH- PROBABILITY PERMS IN PERM.OUT. V0-ELEMENT PERMUTATIONS ARE GENERATED BY CYCLICALLY ADDING UNITS (MOD L0) TO EACH ELEMENT OF EACH FIXED V0-ELEMENT PERMUTATION OF PERM.INP. GENERATED PERMS ARE RECORDED IN PERM.OUT. CF. ALSO STAT1145, STAT2481. STAT3556 IS A VARIANT OF STAT2983 AND STAT2482. STAT3556 IS THE PERMUTATION VERSION OF STAT2983 (STAT2983 THE TEST EVENT VERSION OF STAT3556). ========================================================================= -- L 3557 -- ( GENERATING ALL POSSIBLE [ n C k0 ] k0-ELEMENT EVENTS FROM EACH PERMUTATION OF SIZE n IN A GIVEN SEQUENCE OF PERMUTATIONS ) IV ( VARIANT AND HYBRID OF STAT3272 and STAT3273 ) READS A SEQUENCE OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP, GENERATING ALL POSSIBLE [ n C k0 ] k0-ELEMENT TEST EVENTS IN SEQUENTIAL ORDER. CF. ALSO STAT3272 AND STAT3273. STAT3557 IS A VARIANT OF BOTH STAT3272 AND STAT3273. HOWEVER, GENERATED TEST EVENTS ARE NOT RANKED IN ASCENDING OR DESCENDING ORDER OF WEIGHTS NOR WEIGHT SUMS. A FIXED NUMBER OF QMAX TEST EVENTS IS PRINTED FOR EACH PERMUTATION. FROM THE [ n C k0 ] POSSIBLE COMBINATIONS, BASED UPON A DESIRED, SELECTED RANGE OF INDICES [ M1,M2 ]. ========================================================================= -- L 3558 -- ( RANKING THE IMAX ELEMENTS FROM THE FUNCTIONAL VALUES OR WEIGHTS OF EACH PERMUTATION OF A LARGE BLOCK AS A SEQUENCE IN EITHER DESCENDING OF ASCENDING ORDER OF FUNCTIONAL VALUES OR WEIGHTS OF ELEMENTS OVER ALL L IN , L = 1 , ... , L0 ) ( VARIANT OF STAT3552 ) READS AN (IMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP AND PMAX BLOCKS OF L0 WEIGHTS , , L = 1, 2, ... , L0 IN WT(L).INP. THE L0 ELEMENTS CORRESPONDING TO EACH PERMUTATION WEIGHT OF EACH INPUT PERMUTATION IN PERM.INP ARE THEN RANKED IN EITHER DESCENDING OR ASCENDING ORDER OF WEIGHTS OR FUNCTIONAL VALUES OF ELEMENTS L FROM , L = 1 , ... , L0 ) AND RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. STAT3558 IS A VARIANT OF STAT3213. THE SEQUENCE OF ELEMENT WEIGHTS IN PERM.INP MAY BE GENERATED BY STAT1015 AS WT(L).OUT, WHEREAS THE SEQUENCE OF INPUT PERMUTATIONS IN PERM2.INP MAY BE GENERATED BY STAT12, STAT1015, STAT1619, STAT3213, STAT3246, STAT2349, ET AL. STAT3558 IS A VARIANT OF STAT3552, BUT THE WEIGHTS, < WT(L) >, L = 1, ... , L0 ARE REAL-VALUED, RATHER THAN INTEGER-VALUED. THE L0 WEIGHTS IN WT(L).INP ARE GENERATED FOR STAT3558 VIA STAT3246 AS WT(L).OUT. THE K0 TOP RANKED ELEMENTS OF EACH RE-ARRANGED PERMUTATION ARE RECORDED AS K0-ELEMENT TEST EVENTS IN STAT94.INP. ========================================================================= -- L 3559 -- ( DETERMINING BIPARTITE K0-ELEMENT TRANSLATION EVENTS FROM A (CMAX x 3)-DIMENSIONAL BLOCK OF TRANSLATION EVENTS ) STAT3559 READS A (CMAX x 3)-DIMENSIONAL BLOCK OF TRANSLATION EVENTS FROM STAT3559.INP AND DETERMINES K0-ELEMENT EVENTS FROM BIPARTITE PAIRS OF EVENTS IN STAT3559.INP. GENERATED TRANSLATION EVENTS ARE RECORDED IN STAT3559.OUT FOR FURTHER ANALYSIS IN STAT2064 OR OTHER ROUTINES. ========================================================================= -- L 3560 -- ( DETERMINING BIPARTITE K0-ELEMENT TEST EVENTS FROM A (CMAX x K0)-DIMENSIONAL BLOCK OF TRANSLATION EVENTS ) STAT3560 READS A (CMAX x K0)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3560.INP AND DETERMINES K0-ELEMENT EVENTS FROM BIPARTITE PAIRS OF 3-ELEMENT SUB-STRINGS IN STAT3560.INP, WHERE THE FIRST SUBSTRING IS DERIVED FROM COLUMNS IN [ 1,3 ] AND THE APPENDED SUBSTRING IS DERIVED FROM COLUMNS IN [ 4,6 ]. STAT3560 IS A VARIANT OF STAT3559, PROCESSING ELEMENTS, RATHER THAN ELEMENT TRANSLATIONS. ========================================================================= -- L 3561 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS VI ( VARIANT OF STAT3269 ) ( EXCLUSIVELY UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION ) COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3561 IS A VARIANT OF STAT3269, UTILIZING MTC AND RATIO TO RANK EVENTS, RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3561 TACITLY AND EXCLUSIVELY UTILIZES A GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3561 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3561 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3561.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3561 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3561 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3561, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. CF. ALSO STAT2343, STAT3247, STAT3419, STAT3469, STAT3487, STAT3491. STAT3561 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. STAT3269. ========================================================================= -- L 3562 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS VI ( VARIANT OF STAT3269 ) ( EXCLUSIVELY UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION ) COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3561 IS A VARIANT OF STAT3269, UTILIZING MTC AND RATIO TO RANK EVENTS, RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3561 TACITLY AND EXCLUSIVELY UTILIZES A GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3561 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3561 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3561.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3561 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3561 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3561, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. CF. ALSO STAT2343, STAT3247, STAT3419, STAT3469, STAT3487, STAT3491. STAT3561 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. STAT3269 AND STAT3561. ========================================================================= -- L 3563 -- ( GENERATING A Q0-ELEMENT SUB-PERMUTATION FROM EACH PERMUTATION OF DIMENSION L0 IN A FIXED SEQUENCE BY SELECTING A UNION OF STRINGS OF ELEMENTS FROM THE TOP, MIDDLE, AND BOTTOM OVER THE INDICES OF ELEMENTS LISTED FROM THE EACH INPUT PERMUTATION ) ( VARIANT OF STAT3412 ) STAT3563 READS A FIXED SEQUENCE OF L0-ELEMENT PERMUTATIONS FROM PERM.INP AND GENERATES A Q0-ELEMENT SUB-PERMUTATION FROM EACH INPUT PERMUTATION, BY SELECTING A UNION OF STRINGS OF ELEMENTS FROM THE TOP, MIDDLE, AND BOTTOM OVER THE INDICES OF OF ELEMENTS LISTED FROM THE PERMUTATION IN PERM.INP. THE ANALYST IS PROMPTED FOR A DESIRED NUMBER OF ELEMENTS, Q0 , TO BE SELECTED FROM THE TOP, MIDDLE, AND BOTTOM OF THE INDICES IN PERM.INP. THE ROUTINE THEN GENERATES THE RESULTING UNION OF SUB-PERMUTATIONS OF EACH PERMUTATION FROM PERM.INP INTO PERM.OUT, AS WELL AS EACH Q0-ELEMENT PERMUTATION FROM THE HEAD OF EACH INPUT PERMUTATION OF PERM.INP. PERM.OUT MAY BE UTILIZED AS PERM.INP IN OTHER ROUTINES SUCH AS STAT3562, STAT543, STAT3121, STAT3301, ET AL. STAT3563 IS A VARIANT OF STAT3412. MOREOVER, STAT3563 GENERATES A SEQUENCE OF STRINGS OF K0-ELEMENT EVENTS, EXTRACTED FROM THE TOP AND MIDDLE OF EACH INPUT PERMUTATION IN PERM.INP AND RECORDS THE EVENTS AS STAT94.INP FOR FURTHER ANALYSIS IN OSTHER ROUTINES. STAT3563 IS A VARIANT OF STAT3412. CF. ALSO STAT3411. PERM.INP MAY BE GENERATED VIA STAT3246 AS PERM.OUT. ========================================================================= -- L 3564 -- ( READS A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS ALONG WITH THEIR CORRESPONDING PROBABILITIES OR FUNCTIONAL VALUES AND DETERMINES THE PRECISE CUMULATIVE PROBABILITY THAT AT LEAST ONE TEST EVENT IN THE SEQUENCE WILL BE A [*]-QUALIFIED EVENT ) ( PRINCIPLE OF INCLUSION-EXCLUSION ) STAT3564 READS A FIXED ( BMAX x K0 )-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3564.INP AND DETERMINES THE PRECISE PROBABILITY THAT AT LEAST ONE EVENT IN THE SEQUENCE WILL BE A [*]-QUALIFIED, UTILIZING THE INCLUSION-EXCLUSION PRINCIPLE. THE OUTCOME IS RECORDED IN STAT3564.OUT. STAT3564.INP MAY BE GENERATED AS STAT3564.INP BY THE ROUTINE STAT3475 OR AS STAT3564.INP BY STAT3269. STAT3564 IS A VARIANT OF STAT3565. ANALYZED TEST EVENTS ARE HYPOTHESIZED TO BE INDEPENDENT EVENTS. ========================================================================= -- L 3565 -- ( GENERATING ALL POSSIBLE [ n C Q0 ] PAIRS OR TRIADS OF Q0-ELEMENT EVENTS FROM A FIXED PERMUTATION OF SIZE L0 AND DETERMINING, FROM THE GIVEN PROBABILITY OF EACH ELEMENT, THE PROBABILITY OF THEIR UNION AND THE PROBABILITY OF THEIR INTERSECTION ) READS A FIXED PERMUTATION OF SIZE L0 FROM PERM.INP AND A SEQUENCE OF PROBATILITIES OF ALL ELEMENTS IN PERM.INP FROM STAT3566.INP, GENERATED BY STAT3246. ALL POSSIBLE [ n C Q0 ] PAIRS OF Q0-ELEMENT EVENTS OR SUBSETS ARE GENERATED FROM THE L0 ELEMENTS OF PERM.INP. STAT3566 THEN DETERMINES, FOR EACH PAIR OF DISTINCT ELEMENTS, THE PROBABILITY OF THEIR UNION AND THE PROBABILITY OF THEIR INTERSECTION. PROBABILITIES ARE THEN RECORDED IN STAT3566.OUT AND STAT3566.OT2. ========================================================================= -- L 3566 -- ( FILTERING THE FIRST Q0 UNIQUE ELEMENTS FROM THE BMAX ROWS OF EITHER A ( BMAX x 2 ) - OR ( BMAX x 3 ) - DIMENSIONAL BLOCK OF ELEMENTS ) READS A FIXED ( BMAX x 2 ) OR ( BMAX x 3) - DIMENSIONAL BLOCK OF OF ELEMENTS FROM STAT3566.INP, PREVIOUSLY GENERATED FROM STAT3565 AS STAT3566.INP. THE ANALYST IS QUERIED FOR A DESIRED NUMBER , Q0 , OF UNIQUE ELEMENTS TO BE FILTERED FROM THE TOP TO THE BOTTOM OF THE BLOCK IN STAT3566.INP. STAT3566 RECORDS THE Q0 UNIQUE ELEMENTS AS PERM.INP AND STAT3566.OUT FOR FURTHER ANALYSIS AS A HIGH-PROBABILITY PERMUTATION. ========================================================================= -- L 3567 -- ( FILTERING ELEMENTS FROM A SEQUENCE , ( , L = 1,...,L0 ) , AS [*]-QUALIFIED, WHENEVER 100.0*WT(L), SELECTIVELY ROUNDED DOWN, MATCHES ANY ONE OF THE ELEMENTS IN A PRESCRIBED REAL-VALUED INTERVAL DETERMINED BY THE ANALYST ) STAT3567 READS A FIXED RANGE OF INTEGER VALUES FROM THE ANALYST AND A SEQUENCE OF L0 PROBABILITIES OR WEIGHTS OF ELEMENTS IN WT(L).INP, (L = 1, ... , L0), PREVIOUSLY GENERATED BY STAT3246, AS WT(L).OUT. ELEMENTS L OF WT(L).INP ARE FILTERED AND RECORDED IN PERM.OUT, AS [*]-QUALIFIED, WHENEVER 100.0*WT(L), ROUNDED EITHER UP OR DOWN, MATCHES ANY ONE OF THE ELEMENTS IN A PRESCRIBED REAL-VALUED INTERVAL DETERMINED BY THE ANALYST ) ========================================================================= -- L 3568 -- ( FILTERING ELEMENTS FROM A SEQUENCE , ( , L = 1,...,L0 ) , AS [*]-QUALIFIED, WHENEVER 100.0*WT(L), SELECTIVELY ROUNDED DOWN, MATCHES ANY ONE OF THE ELEMENTS IN A SELECTED DISCRETE SET, ( F(J),J=1,F0 ) ) II STAT3567 READS AN F0-ELEMENT DISCRETE SET , (F(J),J=1,F0) , FROM PERM.INP PRE-SELECTED BY THE ANALYST AND A SEQUENCE OF L0 PROBABILITIES OR WEIGHTS OF ELEMENTS IN WT(L).INP, ( L = 1,...,L0), PREVIOUSLY GENERATED BY STAT3246, AS WT(L).OUT. ELEMENTS L FROM WT(L).INP ARE FILTERED AND RECORDED IN PERM.OUT, AS [*]-QUALIFIED WHENEVER 100.0*WT(L), IS WITHIN EPSILON = 0.5 UNITS OF ANY ONE OF THE ELEMENTS IN THE PRESCRIBED DISCRETE SET, ( F(J),J=1,F0 ). STAT3568 IS A VARIANT OF STAT3567. A CUMULATIVE FILE OF PERMUTATION EVENTS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3569 -- ( SELECTING [*]-QUALIFYING SEQUENCES OF ELEMENT-INDEX RANGES , [ L1(K),L2(K) ] , FROM A GIVEN PERMUTATION WITH RANKED ELEMENTS, BASED UPON INTERSECTION PERFORMANCE VS. THE LAST IMAX STAR EVENTS ) STAT3569 READS AN L0-ELEMENT PERMUTATION ALONG WITH CORRESPONDING STAR CONFIGURATION OF ELEMENTS FROM PERM.INP AND SELECTS ALL [*]-QUALIFYING SEQUENCES OF ELEMENT-INDEX RANGES , [ L1(K),L2(K) ] , BASED UPON INTERSECTION PERFORMANCE VS. THE LAST IMAX STAR EVENTS. QUALIFYING RANGES OF ELEMENTS AND THEIR CORRESPONDING INTEGER DISPLACEMENTS ARE RECORDED IN CUMULAT.OUT FOR FURTHER ANALYSIS. CUMULAT.OUT IS A CUMULATIVE FILE OF INDEX-ELEMENT RANGES. PERM.INP IS PRE-GENERATED FOR STAT3569 BY STAT3246 AS PERM3.OUT. CF. ALSO STAT3570, WHICH UTILIZES THESE ELEMENT-INDEX RANGES TO EXTRACT SUB-PERMUTATIONS FROM PERMUTATIONS. ========================================================================= -- L 3570 -- ( SELECTING [*]-QUALIFYING SUB-PERMUTATIONS FROM A FIXED PERMUTATION UTILIZING ALL POSSIBLE TRIADS OR QUADRUPLES OF INDEX SEQUENCES PRE-GENERATED VIA STAT3569, BASED UPON INTERSECTION PERFORMANCE VS. THE LAST IMAX STAR EVENTS ) STAT3570 READS AN L0-ELEMENT PERMUTATION FROM PERM.INP AND A PRE- GENERATED SEQUENCE OF FMAX INDEX SETS FROM INDEX.INP, BASED UPON INTERSECTION PERFORMANCE VS. THE LAST IMAX STAR EVENTS. ALL POSSIBLE TRIADS OR ALL POSSIBLE QUADRUPLES OF INDEX SETS ARE UTILIZED TO FILTER SUB-PERMUTATIONS FROM THE FIXED PERMUTATION IN PERM.INP. THE SUB-PERMUTATIONS ARE RECORDED IN PERM.OUT FOR FURTHER ANALYSIS IN OTHER ROUTINES. A CUMULATIVE FILE OF GENERATED PERMUTATIONS FROM PERM.OUT IS RECORDED IN CUMULAT.OUT. GENERATED PERMUTATIONS ARE FURTHER FILTERED WHICH HAVE DIMENSIONS RESIDING IN A DESIRED INTEGER RANGE, [ N1,N2 ]. ========================================================================= -- L 3571 -- ( DETERMINING K0-ELEMENT TEST EVENTS FROM A ( 5 x K0 ) - DIMENSIONAL BLOCK OF TEST EVENTS BY THE TACIT SELECTION OF PRESCRIBED VERTICAL AND HORIZONTAL STRINGS OVER SELECTED ROWS AND COLUMNS ) STAT3571 READS A ( 5 x K0)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3571.INP AND DETERMINES K0-ELEMENT EVENTS BY TACITLY COMBINING PRE-DETERMINED VERTICAL AND HORIZONTAL SUB-STRINGS OVER SELECTED ROWS AND COLUMNS. GENERATED K0-ELEMENT EVENTS ARE RECORDED IN STAT3571.OUT AND STAT94.INP. ========================================================================= -- L 3572 -- ( DETERMINING BIPARTITE K0-ELEMENT TEST EVENTS FROM A FIXED (5 x K0)-DIMENSIONAL BLOCK OF TEST EVENTS BY THE TACIT SELECTION OF PRESCRIBED, BIPARTITE, HORIZONTAL STRINGS OVER SELECTED ROWS AND COLUMNS ) STAT3572 READS A ( 5 x K0)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3572.INP AND DETERMINES K0-ELEMENT EVENTS BY TACITLY COMBINING PRE-DETERMINED BIPARTITE, HORIZONTAL SUB-STRINGS OVER SELECTED PAIRS OF ROWS . GENERATED K0-ELEMENT EVENTS ARE RECORDED IN STAT3572.OUT AND STAT94.INP. STAT3572 IS A VARIANT OF STAT3571. ========================================================================= -- L 3573 -- ( INCREASING THE DENSITY OF EACH PERMUTATION IN A GIVEN SEQUENCE BY DECREASING AND INCREASING EACH SINGLE ELEMENT BY ONE UNIT AND RE-ADJUSTING EACH PERMUTATION FOR UNIQUENESS OF ELEMENTRS ) STAT3573 READS A SEQUENCE OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP. THE DENSITY OF EACH PERMUTATION IS INCREASED BY INCREASING AND DECREASING EACH SINGLE ELEMENT BY ONE UNIT AND ADDING THE NEW ELEMENTS TO THE GIVEN PERMUTATION IN THE SEQUENCE. EACH UPDATED PERMUTATION IS THEN RE-ADJUSTED TO ASSURE UNIQUENESS OF ITS ELEMENTS. GENERATED PERMUTATIONS ARE RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. A CUMULATIVE FILE OF PERMUTATIONS IS GENERATED INTO CUMULAT.OUT. ========================================================================= -- L 3574 -- ( EXTRACTING PERMUTATION SUB-STRINGS FROM THREE FIXED PERMUTATIONS VIA A SEQUENCE OF SELECTED TRIADS OF PIVOTAL INDEXES AND A DESIRED DISPLACEMENT PRE-DETERMINED BY THE ANALYST ) STAT3574 READS A SEQUENCE OF THREEE Q0-ELEMENT PERMUTATIONS FROM PERM.INP (GENERATED BY STAT3246 AS PERM3.OUT) AND A SELECTED SEQUENCE OF TRIADS OF PIVOTAL INDEXES FROM STAT3574.INP. THE ANALYST IS PROMPTED FOR A DESIRED DISPLACEMENT FROM EACH PIVOTAL INDEX AND A SEQUENCE OF THREE SUB-PERMUTATIONS OF SIZE Q0 IS GENERATED FOR EACH TRIAD OF INDICES, [ M1,M2,M3 ] , WHERE Q0 = 3*(M0-1). GENERATED SUB-PERMUTATIONS ARE RECORDED IN PERM.OUT AND A CUMULATIVE FILE OF PERMUTATIONS IS GENERATED INTO CUMULAT.OUT. ========================================================================= -- L 3575 -- ( GENERATING [*]-QUALIFYING K0-ELEMENT TEST EVENTS FROM A FIXED ( 3 x K0 )-DIMENSIONAL BLOCK OR A ( 2 x K0 )-DIMENSIONAL BLOCK VIA SELECTED PAIRS OR TRIADS OF ELEMENTS, RESPECTIVELY ) STAT3575 READS EITHER A ( 3 x K0 )-DIMENSIONAL BLOCK OR A ( 2 x K0 )-DIMENSIONAL BLOCK OF EVENTS FROM STAT3575.INP AND GENERATES K0-ELEMENT EVENTS FROM PAIRS OR TRIADS OF ELEMENTS FROM EACH INPUT EVENT. OUTPUT EVENTS ARE RECORDED IN BOTH STAT3575.OUT AND STAT94.INP. STAT3575.INP MAY BE GENERATED BY STAT2343 AS THE TOP TWO OR THREE EVENTS OF STAT94.INP. ========================================================================= -- L 3576 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXVIII ( QUALIFYING SINGLE EVENTS VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) ( VARIANT OF STAT1618 ) STAT3576 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3576.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3576.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM STAT3576.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3576.INP IS READ AS A FIXED K0-ELEMENT EVENT AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE 1. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3576 FILTERS TEST EVENTS FROM STAT3576.INP INTO STAT3576.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3576.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3576 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3576.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. HOWEVER, [*]-QUALIFYING EVENTS ARE RANKED IN ASCENDING ORDER OF TTMAX = TMAX + KKCNT INSTEAD OF ASCENDINDING ORDER OF TMAX. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3576 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3576 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3576. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT (FOR WHICH TTMAX .LE. 0). CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY DISTRIBUTION. CF. STAT1618. ========================================================================= -- L 3577 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF PERMUTATIONS ) XXXIX ( QUALIFYING PERMUTATIONS VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) ( VARIANT AND PERMUTATOIN VERSION OF STAT3576 ) STAT3577 READS A LARGE SEQUENCE OF P0-ELEMENT PERMUTATIONS FROM PERM.INP, A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM STAT3577.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN PERM.INP IS READ AS A FIXED BLOCK OF P0-ELEMENT PERMUTATIONS AND EACH SUCH PERM IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF P0-ELEMENT PERMS OF BLOCK-SIZE V0. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF PERMS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH PERMUTATION. MOREOVER, OUTPUT PERMUTATIONS ARE PRINTED IN THE FILE PERM.OUT FOR FUTURE USAGE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTIONS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES ELEMENTS IN COMMON BETWEEN A PERMUTATION AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND A FILTERED PERMUTATION. THE ROUTINE STAT3577 FILTERS PERMUTATIONS FROM PERM.INP INTO STAT3577.OUT AND PERM.OUT. INPUT PERMUTATIONS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3577 IS A VARIANT OF STAT3576, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3577.INP IS COMPLETED FOR QUALIFYING P0-ELEMENT PERMS OF A DESIRED OR SELECTED BLOCK-SIZE. [*]-QUALIFYING PERMS ARE RANKED IN ASCENDING ORDER OF TTMAX, WHERE TTMAX = TMAX + KKCNT INSTEAD OF ASCENDINDING ORDER OF TMAX. STAR INDICES ARE USED IN SELECTING QUALIFYING PERMUTATIONS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3577 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3577 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF PERM EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3577. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT (FOR WHICH TTMAX .LE. 0) . CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. PERMS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY DISTRIBUTION. CF. STAT3576, STAT1618, AND STAT1631. ========================================================================= -- L 3578 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) GENERATED FROM ALL POSSIBLE [ n C k0 ] COMBINATIONS OF TEST EVENTS OF A FIXED PERMUTATION ) XXXXX ( QUALIFYING SINGLE EVENTS VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) ( VARIANT AND PERMUTATION VERSION OF STAT3576 ) STAT3578 READS A Q0-ELEMENT PERMUTATION FROM PERM.INP AND GENERATES A COMPLETE SET OF [ Q0 C K0 ] K0-ELEMENT TEST EVENTS FROM PERM.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT3578.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH ONE OF THE [ Q0 C K ] EVENTS IS INTERSECTED VS. EACH STAR EVENT. FILTERING A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE 1. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3578 FILTERS TEST EVENTS FROM STAT3578.INP INTO STAT3578.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3578.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3578 IS A VARIANT AND PERMUTATION VEERSION OF STAT3576, FILTERING K0-ELEMENT EVENTS FROM THE PERMUTATION IN PERM.INP, GENERATING ALL [ n C k0] POSSIBLE COMBINATIONS OF ELEMENTS. UNTIL AN EXHAUSTIVE SEARCH OVER STAT3578.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. HOWEVER, [*]-QUALIFYING EVENTS ARE RANKED IN ASCENDING ORDER OF TTMAX = TMAX + KKCNT INSTEAD OF ASCENDINDING ORDER OF TMAX. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3578 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3578 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3578. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS (FOR WHICH TTMAX .LE. 0) IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY DISTRIBUTION. CF. STAT3576, STAT3578 AND STAT1618. ========================================================================= -- L 3579 -- ( EXTRACTING A Q0-ELEMENT PERMUTATION OF UNIQUE ELEMENTS FROM THE TOP KMAX DESIRED EVENTS OF A FIXED BLOCK OF K0-ELEMENT EVENTS ) STAT3579 READS A (BMAX x K0)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3579.INP AND DETERMINES A Q0-ELEMENT PERMUTATION OF UNIQUE ELEMENTS FROM THE TOP KMAX DESIRED EVENTS OF STAT3579.INP. GENERATED ELEMENTS ARE RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. THE FILE STAT3579.INP MAY BE GENERATED BY STAT3576 AS STAT94.INP. A CUMULATIVE FILE OF PERMUTATIONS IS GENERATED INTO CUMULAT.OUT. ========================================================================= -- L 3580 -- ( ADDING A DESIRED RANGE OF VALUES TO EACH ELEMENT OF EACH K0-ELEMENT EVENT OF A FIXED BLOCK DEFINED OVER L0 ELEMENTS AND ADJUSTING THE FIRST (K0-1) ELEMENTS (MOD L0) AND ADJUSTING THE FINAL ELEMENT (MOD Q0) ) STAT3580 READS BLOCK OF K0-ELEMENT TEST EVENTS FROM STAT3580.INP ON THE ELEMEMENTS < 1,2, ... , L0 > FOR WHICH THE MAXIMUM MODULUS OF THE FINAL ELEMENT IS Q0. A DESIRED RANGE OF VALUES IS ADDED TO THE FIRST (K0-1) ELEMENTS OF EACH EVENT (EACH ELEMENT ADJUSTED (MOD L0) AND ADDED TO EACH FINAL ELEMENT (EACH ELEMENT ADJUSTED (MOD Q0). THE RESULTING EVENTS ARE RECORDED IN STAT3580.OUT FOR FURTHER ANALYSIS. THE BLOCK-SIZE OF STAT3580.INP IS ARBITRARILY LARGE. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3581 -- ( RE-DEFINING THE TENS DIGITS OF PAIRS OF ELEMENTS IN SELECTED PAIRS OF COLUMNS OF A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS ) STAT3581 READS SEQUENCE OF PARAMETERS FROM STAT3581.IN2 AND A BLOCK OF K0-ELEMENT TEST EVENTS FROM STAT3581.INP ON THE ELEMENTS < 1,2, ... , L0 > FOR WHICH THE MAXIMUM MODULUS OF THE FINAL ELEMENT IS Q0. THE TENS DIGITS OF PAIRS OF ELEMENTS IN SELECTED PAIRS OF COLUMNS OF THE (BMAX x K0)-DIMENSIONAL BLOCK ARE RE-DIFINED, BASED UPON A SEQUENCE OF PARAMETERS RECORDED IN STAT2581.IN2: [ NTD1, C1, NTD2, C2 ]. RE-DEFINED EVENTS ARE RECORDED IN STAT3581.OUT AND STAT94.INP. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3582 -- ( GENERATING ALL (BMAX x BMAX x BMAX) K0-ELEMENT TEST EVENTS FROM TRI-PARTITIE 2-ELEMENT STRINGS OF ELEMENTS OR (BMAX x BMAX) K0-ELEMENT TEST EVENTS FROM BI-PARTITE 3-ELEMENT STRINGS OF ELEMENTS OR (BMAX x BMAX x BMAX x BMAX) 2-ELEMENT AND 1-ELEMENT STRINGS OF ELEMENTS OR (BMAX x BMAX x BMAX x BMAX) K0-ELEMENT TEST EVENTS FROM QUAD-PARTITE 1- AND 2-ELEMENT STRINGS OF ELEMENTS FROM ONE FIXED (BMAX x K0)-DIMENSIONAL BLOCK ) STAR3582 READS A ( BMAX x K0 )-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3582.INP AND GENERATES EITHER ALL (BMAX x BMAX x BMAX) K0-ELEMENT TEST EVENTS FROM TRI-PARTITIE 2-ELEMENT STRINGS OF ELEMENTS OR (BMAX x BMAX) K0-ELEMENT TEST EVENTS FROM BI-PARTITE 3-ELEMENT STRINGS OF ELEMENTS OR (BMAX x BMAX x BMAX x BMAX) 2-ELEMENT AND 1-ELEMENT STRINGS OF ELEMENTS OR (BMAX x BMAX x BMAX x BMAX) K0-ELEMENT TEST EVENTS FROM QUAD-PARTITE 1- AND 2-ELEMENT STRINGS OF ELEMENTS FROM ONE FIXED (BMAX x K0)-DIMENSIONAL BLOCK. GENERATED TEST EVENTS ARE RECORDED IN STATSTAT3582.OUT, FOR FURTHER ANALYSIS. STAT3582.INP MAY BE GENERATED BY STAT3032 AS STAT94.INP OR BY ANOTHER ROUTINE. ========================================================================= -- L 3583 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF PERMUTATIONS ) XXXXII ( QUALIFYING PERMUTATIONS VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) ( VARIANT OF STAT1618 AND PERMUTATION VERSION OF STAT3585 ) STAT3583 READS A LARGE SEQUENCE OF P0-ELEMENT PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN PERM.INP IS READ AS A FIXED BLOCK OF P0-ELEMENT PERMUTATIONS AND EACH SUCH PERM IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF P0-ELEMENT PERMS OF BLOCK-SIZE 1. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF PERMS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH PERMUTATION. MOREOVER, OUTPUT PERMUTATIONS ARE PRINTED IN THE FILE PERM.OUT FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTIONS BETWEEN TEST EVENTS AND EACH TEST EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN EACH PERMUTATION AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED PERMUTATION. THE ROUTINE STAT3583 FILTERS PERMUTATIONS FROM PERM.INP INTO STAT3583.OUT AND PERM.OUT. PERMUTATIONS FROM PERM.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KKCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3583 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER PERM.INP IS COMPLETED FOR QUALIFYING P0-ELEMENT PERMS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING PERMUTATIONS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3583 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3583 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+ Z0*(KKCT) ). CF STAT1504. CF. STAT1619, WHICH IS ANOTHER PERMUTATION VERSION OF STAT3583. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING PERMS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF VALUES OF IDELTA, BASED ON PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY DISTRIBUTION. CF. ALSO STAT1631 AND STAT3576. STAT3583 IS A PERMUTATION VERSION OF STAT3585. HOWEVER, Z0 IS CALCULATED IN REAL-TIME, RATHER THAN BEING ENTERED BY THE ANALYST. ========================================================================= -- L 3584 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) GENERATED FROM ALL POSSIBLE [ n C k0 ] COMBINATIONS OF TEST EVENTS OF A FIXED PERMUTATION ) XXXXXV ( QUALIFYING SINGLE EVENTS VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) ( HYBRID AND PERMUTATION VERSION OF STAT3578 AND STAT3583 ) STAT3584 READS A Q0-ELEMENT PERMUTATION FROM PERM.INP AND GENERATES A COMPLETE SET OF [ Q0 C K0 ] K0-ELEMENT TEST EVENTS FROM PERM.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM STAT3584.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH ONE OF THE [ Q0 C K ] EVENTS IS INTERSECTED VS. EACH STAR EVENT. FILTERING A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE 1. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3584 FILTERS TEST EVENTS FROM STAT3584.INP INTO STAT3584.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3584.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3584 IS A VARIANT AND PERMUTATION VEERSION OF STAT3576, FILTERING K0-ELEMENT EVENTS FROM THE PERMUTATION IN PERM.INP, GENERATING ALL [ n C k0] POSSIBLE COMBINATIONS OF ELEMENTS. UNTIL AN EXHAUSTIVE SEARCH OVER STAT3584.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. HOWEVER, [*]-QUALIFYING EVENTS ARE RANKED IN ASCENDING ORDER OF TTMAX = TMAX + KKCNT INSTEAD OF ASCENDINDING ORDER OF TMAX. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3584 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3584 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3584. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS (FOR WHICH TTMAX .LE. 0) IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY DISTRIBUTION. CF. STAT3576, STAT3584 AND STAT1618. STAT3584 IS AN HYBRID AND PERMUTATION VERSION OF STAT3578 AND STAT3583 ) STAT3583 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+ Z0*(KKCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3583. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF VALUES OF IDELTA, BASED ON PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY DISTRIBUTION. CF. ALSO STAT1631 AND STAT3576. STAT3584 IS A VARIANT OF STAT3585 AND THE PERMUTATION VERSION OF STAT3585. HOWEVER, Z0 IS CALCULATED IN REAL-TIME, RATHER THAN BEING ENTERED BY THE ANALYST. ========================================================================= -- L 3585 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXXVIII ( QUALIFYING SINGLE EVENTS VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) ( VARIANT AND TEST EVENT VERSION OF STAT3583 ) STAT3585 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3585.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3585.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM STAT3585.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3585.INP IS READ AS A FIXED K0-ELEMENT EVENT AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE 1. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3585 FILTERS TEST EVENTS FROM STAT3585.INP INTO STAT3585.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3585.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KKCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3585 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3585.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3585 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3585 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+ Z0*(KKCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3585. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF VALUES OF IDELTA, BASED ON PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY DISTRIBUTION. CF. ALSO STAT1631 AND STAT3576. STAT3585 IS A VARIANT OF STAT1618 AND THE TEST EVENT VERSION OF STAT3583. HOWEVER, Z0 IS CALCULATED IN REAL-TIME, RATHER THAN BEING ENTERED BY THE ANALYST. ========================================================================= -- L 3586 -- ( BINARY INCIDENCES FOR THE EXISTENCE OF A PAIR OF ELEMENTS [ C(J1),C(J2) ] IN COLUMNS J1 AND J2, RESPECTIVELY, FOR A SEQUENCE OF K0-ELEMENT EVENTS VS. IMAX STAR EVENTS ) STAT3586 READS AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3586I.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. FOR A SELECTED PAIR OF COLUMNS, J1 AND J2, VECTORS [ C(J1), C(J2)] ARE INTERSECTED WITH STAR EVENTS, RESTRICTED TO COLUMNS J1 AND J2, AND SEQUENCE OF IMAX (0,1) BINARY INCIDENCES IS GENERATED AND RECORDED IN STAT3260.INP, REPRESENTING THE OCCURRENCE OF NON-OCCURRENCE OF THE PAIR [ C(J1),C(J2) ] VS. THE IMAX STAR EVENTS IN BASE.INP. STAT3260 THEN DETERMINES THE PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL OF EACH PAIR [ C(J1),C(J2) ] AND RANKS THEM IN DESCENDING ORDER OF PROBABILITY. CF. STAT3260. ========================================================================= -- L 3587 -- ( BINARY INCIDENCES FOR THE EXISTENCE OF A TRIAD OF ELEMENTS [ C(J1),C(J2),C(J3) ] IN COLUMNS J1, J2, AND J3, RESPECTIVELY, FOR A SEQUENCE OF K0-ELEMENT EVENTS VS. IMAX STAR EVENTS ) STAT3587 READS AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3587I.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. FOR A SELECTED TRIAD OF COLUMNS, J1, J2, AND J3. VECTORS [ C(J1), C(J2, C(J3) ] ARE INTERSECTED WITH STAR EVENTS, RESTRICTED TO COLUMNS J1, J2,AND J3 AND A SEQUENCE OF IMAX (0,1) BINARY INCIDENCES IS GENERATED AND RECORDED IN STAT3260.INP, REPRESENTING THE OCCURRENCE OF NON-OCCURRENCE OF THE TRIAD [ C(J1),C(J2),C(J3) ] VS. THE IMAX STAR EVENTS IN BASE.INP. STAT3260 THEN DETERMINES THE PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL OF EACH PAIR [ C(J1),C(J2) ] AND RANKS THEM IN DESCENDING ORDER OF PROBABILITY. STAT3587 IS A VARIANT AND ELEMENT TRIAD VERSION OF STAT3586. CF. ALSO STAT3260. ========================================================================= -- L 3588 -- ( GENERATING ALL (BMAX1 x BMAX2 x BMAX3 ) K0-ELEMENT TEST EVENTS FROM TRI-PARTITE 2-ELEMENT STRINGS OF ELEMENTS RESIDING IN THREE SEPARATE INPUT FILES OF SIZES BMAX1, BMAX2, AND BMAX3 ) STAR3588 READS A (BMAX1 x 2)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3588.IN1, A (BMAX2 x 2)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3588.IN2, AND A (BMAX3 x 2)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3588.IN3, AND GENERATES ALL BMAX1 x BMAX2 x BMAX3 TRI-PARTITE K0-ELEMENT EVENTS INTO STAT3588.OUT FOR FURTHER ANALYSIS. STAT3588.IN1, STAT3588.IN2, AND STAT3588.IN3 MAY BE GENERATED BY A COMBINATION OF STAT3587, STAT3260, STAT3598, OR OTHER ROUTINES. STAT3588 IS A VARIANT OF STAT3582, STAT3589, AND STAT3590. ========================================================================= -- L 3589 -- ( GENERATING ALL (BMAX1 x BMAX2) K0-ELEMENT TEST EVENTS FROM BI-PARTITE 3-ELEMENT STRINGS OF ELEMENTS RESIDING IN TWO SEPARATE INPUT FILES OF SIZES BMAX1 AND BMAX2, RESPECTIVELY ) STAR3589 READS EITHER [ (BMAX1 x 3)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3589.IN1 AND A (BMAX2 x 3)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3589.IN2 ] OR [ A (BMAX1 x 3)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3589.IN1 AND A (BMAX x 2)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3589.IN2 ] OR [ A (BMAX x 4)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3589.IN1 AND A (BMAX x 2 )-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3589.IN2 ], GENERATING ALL BMAX1xBMAX2 BI-PARTITE K0-ELEMENT EVENTS INTO STAT3589.OUT FOR FURTHER ANALYSIS. STAT3589.IN1 AND STAT3589.IN2 MAY BE GENERATED BY A COMBINATION OF STAT3587, STAT3260, STAT3597, STAT3598, STAT3599 OR OTHER ROUTINES. STAT3589 IS A VARIANT OF STAT3588, STAT3590, AND STAT3582. ========================================================================= -- L 3590 -- ( GENERATING ALL (BMAX1 x BMAX2 x BMAX3 x BMAX4 ) K0-ELEMENT TEST EVENTS FROM QUADRI-PARTITE 2-ELEMENT AND 1-ELEMENT STRINGS OF ELEMENTS RESIDING IN FOUR SEPARATE INPUT FILES OF SIZES BMAX1, BMAX2, BMAX3, AND BMAX4 ) STAR3590 READS A (BMAX1 x 2)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3590.IN1, A (BMAX2 x 1)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3590.IN2, A (BMAX3 x 2)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3590.IN3, A (BMAX4 x 1)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3590.IN4 AND GENERATES ALL BMAX1 x BMAX2 x BMAX3 x BMAX4 QUADRI-PARTITE K0-ELEMENT EVENTS INTO STAT3590.OUT FOR FURTHER ANALYSIS. STAT3590.IN1, STAT3590.IN2, STAT3590.IN3 AND STAT3590.IN4 MAY BE GENERATED BY A COMBINATION OF STAT3587 AND STAT3260 OR OTHER ROUTINES. STAT3590 IS A VARIANT OF STAT3582, STAT3588, AND STAT3589. ========================================================================= -- L 3591 -- ( GENERATING ALL PAIRS OF ELEMENTS FROM A FIXED PERMUTATION OF SIZE Q0, DETERMINING, OVER ALL [ Q0 C 2 ] PAIRS, AND COMPUTING A SCALED PROBABILITY THAT EACH PAIR OF ELEMENTS WILL OCCUR ON THE NEXT TRIAL, BASED UPON THE PROBABILTY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL ) READS AN (IMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS ( < WT(L) >, L = 1, ... , L0 ) FROM WT(L).INP (PRE-GENERATED BY STAT3246 AS WT(L).OUT), AND A Q0-ELEMENT PERMUTATION FROM PERM.INP. ALL [ Q0 C 2 ] PAIRS OF ELEMENTS ARE GENERATED FROM PERM.INP AND STAT3491 DETERMINES A SCALED PROBABILITY THAT EACH PAIR OF ELEMENTS WILL OCCUR SIMULTANEOUSLY ON THE NEXT TRIAL, BASED UPON THE PROBABILITY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL. THE RESULTS ARE RECORDED IN STAT3591.OUT FOR FURTHER ANALYSIS. STAT3591 IS A VARIANT OF STAT3478. CF. ALSO STAT3592, WHICH ANALYZES TRIADS OF ELEMENTS, RATHER THAN PAIRS OF ELEMENTS, GENERATED FROM PERM.INP. CF. STAT3478 AND STAT3592. ONLY SINGLE ELEMENTS WHICH HAVE NOT OCCURRED IN A PREVIOUS PAIR ARE SELECTED WITHIN A SUBSEQUENT PAIR. A PERMUTATION OF UNIQUE ELEMENTS IS EXTRACTED FROM THE TOP ICT 2-ELEMENT SETS AND RECORDED IN PERM.OUT. ========================================================================= -- L 3592 -- ( GENERATING ALL TRIADS OF ELEMENTS FROM A FIXED PERMUTATION OF SIZE Q0, DETERMINING, OVER ALL [ Q0 C 3 ] TRIADS, AND COMPUTING A SCALED PROBABILITY THAT EACH TRIAD OF ELEMENTS WILL OCCUR ON THE NEXT TRIAL, BASED UPON THE PROBABILTY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL ) READS AN (IMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS ( < WT(L) >, L = 1, ... , L0 ) FROM WT(L).INP (PRE-GENERATED BY STAT3246 AS WT(L).OUT), AND A Q0-ELEMENT PERMUTATION FROM PERM.INP. ALL [ Q0 C 3 ] TRIADS OF ELEMENTS ARE GENERATED FROM PERM.INP AND STAT3592 DETERMINES A SCALED PROBABILITY THAT EACH TRIAD OF ELEMENTS WILL OCCUR SIMULTANEOUSLY ON THE NEXT TRIAL, BASED UPON THE PROBABILITY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL. THE RESULTS ARE RECORDED IN STAT3592.OUT FOR FURTHER ANALYSIS. STAT3592 IS A VARIANT OF STAT3591. CF. ALSO STAT3591, WHICH ANALYZES PAIRS OF ELEMENTS, RATHER THAN TRIADS OF ELEMENTS, GENERATED FROM PERM.INP. CF. STAT3478 AND STAT3591. ONLY SINGLE ELEMENTS WHICH HAVE NOT OCCURRED IN A PREVIOUS TRIAD ARE SELECTED WITHIN A SUBSEQUENT TRIAD. A PERMUTATION OF UNIQUE ELEMENTS IS EXTRACTED FROM THE TOP ICT 3-ELEMENT SETS AND RECORDED IN PERM.OUT. ========================================================================= -- L 3593 -- ( GENERATING ALL K0-SETS OF ELEMENTS FROM A FIXED PERMUTATION OF SIZE Q0, DETERMINING, OVER ALL [ Q0 C K0 ] K0-SETS, AND COMPUTING A SCALED PROBABILITY THAT EACH K0-SET OF ELEMENTS WILL OCCUR ON THE NEXT TRIAL, BASED UPON THE PROBABILTY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL ) READS AN (IMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS ( < WT(L) >, L = 1, ... , L0 ) FROM WT(L).INP (PRE-GENERATED BY STAT3246 AS WT(L).OUT), AND A Q0-ELEMENT PERMUTATION FROM PERM.INP. ALL [ Q0 C K0 ] K0-SETS OF ELEMENTS ARE GENERATED FROM PERM.INP AND STAT3593 DETERMINES A SCALED PROBABILITY THAT EACH K0-SET OF ELEMENTS WILL OCCUR SIMULTANEOUSLY ON THE NEXT TRIAL, BASED UPON THE PROBABILITY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL. THE RESULTS ARE RECORDED IN STAT3593.OUT FOR FURTHER ANALYSIS. STAT3593 IS A VARIANT OF STAT3591. CF. STAT3591, WHICH ANALYZES PAIRS OF ELEMENTS, RATHER THAN TRIADS OF ELEMENTS, GENERATED FROM PERM.INP. CF. ALSO STAT3592, WHICH ANALYZES TRIADS OF ELEMENTS, RATHER THAN PAIRS OF ELEMENTS, GENERATED FROM PERM.INP. CF. STAT3478, STAT3591, AND STAT3478 AND STAT3592. ONLY SINGLE ELEMENTS WHICH HAVE NOT OCCURRED IN A PREVIOUS K0-SET ARE SELECTED WITHIN A SUBSEQUENT K0-SET. ( IT IS EXPECTED THAT K0 = 5 OR K0 = 6 ). A PERMUTATION OF UNIQUE ELEMENTS IS EXTRACTED FROM THE TOP ICT K0-ELEMENT SETS AND RECORDED IN PERM.OUT. ========================================================================= -- L 3594 -- ( GENERATING ALL K0-ELEMENT EVENTS FROM TRI-PARTITE TRIADS OF 2-ELEMENT EVENTS FROM A FIXED BLOCK OF 2-ELEMENT EVENTS ) STAT3594 READS A FIXED (BMAX x 2)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3594.INP AND GENERATES ALL [ BMAX C 3 ] TRI-PARTITE UNIONS OF TRIADS OF 2-ELEMENT EVENTS AS 6-ELEMENT EVENTS INTO STAT3594.OUT. STAT3594 IS A VARIANT OF STAT3588 AND STAT3595. CF. ALSO STAT3453, STAT3454, STAT3470, STAT3471, AND STAT3472. ========================================================================= -- L 3595 -- ( GENERATING ALL K0-ELEMENT EVENTS FROM BI-PARTITE PAIRS OF 3-ELEMENT EVENTS FROM A FIXED BLOCK OF 3-ELEMENT EVENTS ) STAT3595 READS A FIXED (BMAX x 3)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3595.INP AND GENERATES ALL [ BMAX C 2 ] BI-PARTITE UNIONS OF PAIRS OF 3-ELEMENT EVENTS AS 6-ELEMENT EVENTS INTO STAT3595.OUT. STAT3595 IS A VARIANT OF STAT3589 AND STAT3594. CF. ALSO STAT3453, STAT3454, STAT3470, STAT3471, AND STAT3472. ========================================================================= -- L 3596 -- ( GENERATING ALL ELEMENT DISPLACEMENTS FROM INITIAL ELEMENTS IN A PRESCRIBED RANGE, ACTED UPON BY A FIXED SEQUENCE OF DISPLACEMENT VECTORS ) STAT3596 READS A FIXED SEQUENCE OF (K0-1)-ELEMENT VECTORS FROM STAT3596.INP AND AN (IMAX x K0)-DIMENSIONAL MATRIX OF STAR EVENTS FROM BASE.INP. THE ANALYST IS PROMPTED FOR A RANGE OF INITIAL ELEMENTS AND EACH DISPLACEMENT VECTOR ACTS UPON EACH INITIAL ELEMENT TO GENERATE S NEW SEQUENCE OF DISPLACEMTNS IN STAT3596.OUT. STAT3596 ALSO GENERATES FROM BASE.INP A VECTOR FILE OF HORIZONTAL DISPLACEMENTS BETWEEN ADJACENT PAIRS OF ELEMENTS (RECORDED IN HDISP.OUT) AND A VECTOR FILE OF VERTICAL DISPLACEMENTS BETWEEN ELEMENTS IN EACH COLUMN OF PAIRS OF CONSECUTIVE STAR EVENTS IN BASE.INP (RECORDED IN VDISP.OUT). ========================================================================= -- L 3597 -- ( GENERATING ALL PAIRS OF ELEMENTS FROM A FIXED PERMUTATION OF SIZE Q0, DETERMINING, OVER ALL [ Q0 C 2 ] PAIRS, AND COMPUTING A SCALED PROBABILITY THAT EACH PAIR OF ELEMENTS WILL OCCUR ON THE NEXT TRIAL, BASED UPON THE PROBABILTY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL ) II READS AN (IMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP, AN (L0 x K0)-DIMENSIONAL BLOCK OF WEIGHTS OF ELEMENTS FROM WT(L).INP, CONSISTING OF ( < WT(L),J >, L = 1, ... , L0 ) AND PRE-GENERATED BY STAT3250 AS STAT3258.IN2 ), AND A Q0-ELT. PERMUTATION FROM PERM.INP. ALL [ Q0 C 2 ] PAIRS OF ELEMENTS ARE GENERATED FROM PERM.INP AND STAT3491 DETERMINES A SCALED PROBABILITY THAT EACH PAIR OF ELEMENTS WILL OCCUR SIMULTANEOUSLY ON THE NEXT TRIAL, BASED UPON THE PROBABILITY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL. THE RESULTS ARE RECORDED IN STAT3597 FOR FURTHER ANALYSIS. STAT3597 IS A VARIANT OF STAT3591, STAT3598, AND STAT3599. HOWEVER, PROBABILITIES IN WT(L).INP ARE GENERATED FOR ELEMENTS OVER K0 SEPARATE COLUMNS BY STAT3250 AS STAT3258.IN2, RATHER THAN FROM STAT3246 AS WT(L).OUT. CF. ALSO STAT3598, WHICH ANALYZES TRIADS OF ELEMENTS, RATHER THAN PAIRS OF ELEMENTS, GENERATED FROM PERM.INP. CF. ALSO STAT3478 FOR ONLY SINGLE ELEMENTS WHICH HAVE NOT OCCURRED IN A PREVIOUS PAIR AND SELECTED WITHIN A SUBSEQUENT PAIR. A PERMUTATION OF UNIQUE ELEMENTS IS EXTRACTED FROM THE TOP ICT 2-ELEMENT SETS AND RECORDED IN PERM.OUT. STAT3588 MAY BE UTILIZED TO FURTHER PROCESS STAT3597.OT3 OR STAT3597.OT4. ========================================================================= -- L 3598 -- ( GENERATING ALL TRIADS OF ELEMENTS FROM A FIXED PERMUTATION OF SIZE Q0, DETERMINING, OVER ALL [ Q0 C 3 ] TRIADS, AND COMPUTING A SCALED PROBABILITY THAT EACH TRIAD OF ELEMENTS WILL OCCUR ON THE NEXT TRIAL, BASED UPON THE PROBABILTY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL ) II READS AN (IMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP, AN (L0 x K0)-DIMENSIONAL BLOCK OF WEIGHTS OF ELEMENTS FROM WT(L).INP, CONSISTING OF ( < WT(L),J >, L = 1, ... , L0 ) AND PRE-GENERATED BY STAT3250 AS STAT3258.IN2), AND A Q0-ELEMENT PERMUTATION FROM PERM.INP. ALL [ Q0 C 3 ] TRIADS OF ELEMENTS ARE GENERATED FROM PERM.INP AND STAT3498 DETERMINES A SCALED PROBABILITY THAT EACH TRIAD OF ELEMENTS WILL OCCUR SIMULTANEOUSLY ON THE NEXT TRIAL, BASED UPON THE PROBABILITY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL. THE RESULTS ARE RECORDED IN STAT3597 FOR FURTHER ANALYSIS. STAT3598 IS A VARIANT OF STAT3592, STAT3597, AND STAT3599. HOWEVER, PROBABILITIES IN WT(L).INP ARE GENERATED FOR ELEMENTS OVER K0 SEPARATE COLUMNS BY STAT3250 AS STAT3258.IN2, RATHER THAN BY STAT3246 AS WT(L).OUT. STAT3598 ANALYZES TRIADS OF ELEMENTS, RATHER THAN PAIRS OF ELEMENTS, GENERATED FROM PERM.INP. CF. ALSO STAT3478 FOR ONLY SINGLE ELEMENTS WHICH HAVE NOT OCCURRED IN A PREVIOUS PAIR AND SELECTED WITHIN A SUBSEQUENT PAIR. A PERMUTATION OF UNIQUE ELEMENTS IS EXTRACTED FROM THE TOP ICT 3-ELEMENT SETS AND RECORDED IN PERM.OUT FOR FURTHER USAGE. STAT3589 MAY BE UTILIZED TO FURTHER PROCESS STAT3597.OT3 OR STAT3597.OT4. ========================================================================= -- L 3599 -- ( GENERATING ALL K0-SETS OF ELEMENTS FROM A FIXED PERMUTATION OF SIZE Q0, DETERMINING, OVER ALL [ Q0 C K0 ] K0-SETS, AND COMPUTING A SCALED PROBABILITY THAT EACH K0-SET OF ELEMENTS WILL OCCUR ON THE NEXT TRIAL, BASED UPON THE PROBABILTY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL ) II READS AN (IMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP, AN (L0 x K0)-DIMENSIONAL BLOCK OF WEIGHTS OF ELEMENTS FROM WT(L).INP, CONSISTING OF ( < WT(L),J >, L = 1, ... , L0 ) AND PRE-GENERATED BY STAT3250 AS STAT3258.IN2), AND A Q0-ELEMENT PERMUTATION FROM PERM.INP. ALL [ Q0 C K0 ] TRIADS OF ELEMENTS ARE GENERATED FROM PERM.INP AND STAT3499 DETERMINES A SCALED PROBABILITY THAT EACH K0-SET OF ELEMENTS WILL OCCUR SIMULTANEOUSLY ON THE NEXT TRIAL, BASED UPON THE PROBABILITY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL. THE RESULTS ARE RECORDED IN STAT3599.OT3 FOR FURTHER ANALYSIS. STAT3599 IS A VARIANT OF STAT3593, STAT3597, AND STAT3598. HOWEVER, PROBABILITIES IN WT(L).INP ARE GENERATED FOR ELEMENTS OVER K0 SEPARATE COLUMNS BY STAT3250 AS STAT3258.IN2, RATHER THAN BY STAT3246 AS WT(L).OUT. STAT3598 ANALYZES K0-SETS OF ELEMENTS, RATHER THAN PAIRS OF ELEMENTS, GENERATED FROM PERM.INP. CF. ALSO STAT3478 FOR ONLY SINGLE ELEMENTS WHICH HAVE NOT OCCURRED IN A PREVIOUS PAIR ARE SELECTED WITHIN A SUBSEQUENT K0-SET. A PERMUTATION OF UNIQUE ELEMENTS IS EXTRACTED FROM THE TOP ICT K0-ELEMENT SETS AND RECORDED IN PERM.OUT. ========================================================================= -- L 3600 -- ( GENERATING ALL K0-SETS OF ELEMENTS FROM A FIXED PERMUTATION OF SIZE Q0, DETERMINING, OVER ALL [ Q0 C K0 ] K0-SETS, AND COMPUTING A SCALED PROBABILITY THAT EACH K0-SET OF ELEMENTS WILL OCCUR ON THE NEXT TRIAL, BASED UPON THE PROBABILTY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL ) II READS AN (IMAX x K0)-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP, AN (L0 x K0)-DIMENSIONAL BLOCK OF WEIGHTS OF ELEMENTS FROM WT(L).INP, CONSISTING OF ( < WT(L),J >, L = 1, ... , L0 ) AND PRE-GENERATED BY STAT3250 AS STAT3258.IN2), AND A Q0-ELEMENT PERMUTATION FROM PERM.INP. ALL [ Q0 C K0 ] TRIADS OF ELEMENTS ARE GENERATED FROM PERM.INP AND STAT3499 DETERMINES A SCALED PROBABILITY THAT EACH K0-SET OF ELEMENTS WILL OCCUR SIMULTANEOUSLY ON THE NEXT TRIAL, BASED UPON THE PROBABILITY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL. THE RESULTS ARE RECORDED IN STAT3600.OT3 FOR FURTHER ANALYSIS. STAT3600 IS A VARIANT OF STAT3593, STAT3597, AND STAT3598. HOWEVER, PROBABILITIES IN WT(L).INP ARE GENERATED FOR ELEMENTS OVER K0 SEPARATE COLUMNS BY STAT3250 AS STAT3258.IN2, RATHER THAN BY STAT3246 AS WT(L).OUT. STAT3598 ANALYZES K0-SETS OF ELEMENTS, RATHER THAN PAIRS OF ELEMENTS, GENERATED FROM PERM.INP. CF. ALSO STAT3478 FOR ONLY SINGLE ELEMENTS WHICH HAVE NOT OCCURRED IN A PREVIOUS PAIR ARE SELECTED WITHIN A SUBSEQUENT K0-SET. A PERMUTATION OF UNIQUE ELEMENTS IS EXTRACTED FROM THE TOP ICT K0-ELEMENT SETS AND RECORDED IN PERM.OUT. ========================================================================= -- L 3601 -- ( DETERMINING Q0-ELEMENT SUB-PERMUTATIONS FROM A SEQUENCE OF L0-ELEMENT PERMUTATIONS BY SELECTING ELEMENTS WITH INDICES CONGRUENT TO EITHER C(1) OR C(2) ( MOD M ) FOR A GIVEN VALUE OF M AND A SEQUENCE OF 2-ELEMENT VECTORS < C(1),C(2) > ) STAT3601 READS A SEQUENCE OF PERMUTATIONS IN PERM.INP (GENERATED BY STAT3246 AS PERM.OUT) ON THE ELEMENTS IN , READS A SEQUENCE OF 2-ELEMENT VECTORS < C(1),C(2) > (MOD M) FROM STAT3601.INP, AND SELECTS Q0-ELEMENT SUB-PERMUTATIONS WITH INDICES CONGRUENT TO EITHER C(1) OR C(2) ( MOD M ) FOR SOME DESIRED INTEGER M. SUB-PERMUTATIONS ARE RECORDED IN PERM.OUT FOR FURTHER ANALYSIS IN STAT2349 OR OTHER ROUTINES. ========================================================================= -- L 3602 -- ( DETERMINING K0-ELEMENT EVENTS FROM A SEQUENCE OF Q0-ELEMENT PERMUTATIONS BY SELECTING STRINGS OF ELEMENTS WITH INDICES IN THE HEAD, CENTER, AND TAIL OF EACH INPUT PERMUTATION ) STAT3602 READS A SEQUENCE OF PERMUTATIONS IN PERM.INP (GENERATED BY STAT3246 AS PERM.OUT OR BY STAT3501 AS PERM.OUT) ON THE ELEMENTS IN , AND GENERATES K0-ELEMENT EVENTS BY SELECTING STRINGS OF ELEMENTS WITH INDICES IN THE HEAD, CENTER, AND TAIL OF EACH INPUT PERMUTATION. K0-ELEMENT EVENTS ARE RECORDED IN STAT3602.OUT FOR FURTHER ANALYSIS IN STAT2343 OR OTHER ROUTINES. ========================================================================= -- L 3603 -- ( DETERMINING K0-ELEMENT EVENTS FROM A SEQUENCE OF SCROLLING BLOCKS OF TRIADS OF EVENTS VIA SELECTED UNIONS OF INTERLACED SUB-STRINGS OF ELEMENTS ) STAT3603 READS A (BMAX x K0)-DIMENSIONAL BLOCK OF K0-ELEMENT EVENTS FROM STAT3603.INP (GENERATED FROM STAT3602 AS STAT3602.OUT) AND CONSTRUCTS K0-ELEMENT EVENTS FROM SCROLLING BLOCKS OF TRIADS OF EVENTS BY SELECTING UNIONS OF INTERLACED SUB-STRINGS OF ELEMENTS. CONSTRUCTED EVENTS ARE RECORDED IN STAT3603.OUT. ========================================================================= -- L 3604 -- ( GENERATING K0-ELEMENT EVENTS FROM A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS BY REPLACING PAIRS OF ELEMENTS IN SELECTED COLUMNS BY ELEMENTS WITH REVERSED UNITS AND TENS DIGITS ) STAT3604 READS A FIXED (BMAX x K0)-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3604.INP (GENERATED BY STAT2343 AS STAT94.INP) AND A SEQUENCE OF 2-DIMENSIONAL VECTORS CONSISTING OF SELECTED COLUMNS FROM STAT3604.IN2. K0-ELEMENT EVENTS ARE GENERATED BY REPLACING PAIRS OF ELEMENTS IN COLUMNS [C1,C2] BY ELEMENTS WITH REVERSED OR INTERCHANGED UNITS AND TENS DIGITS IN THOSE COLUMNS. ========================================================================= -- L 3605 -- (FILTERING K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE SATISFYING THE PROPERTY THAT THE GIVEN EVENT WAS NOT DETERMINED TO BE [*]-QUALIFIED VS. ANY ONE OF THE LAST NLAST SELECTED STAR EVENTS ) ( VARIANT AND HYBRID OF STAT2343 ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3605.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN < 1, 2 , ... , L0 > FROM BASE.INP. THOSE EVENTS FROM STAT3605.INP WHICH STATISFY THE PROPERTY THAT THE GIVEN EVENT WAS NOT DETERMINED TO BE [*]-QUALIFIED VS. ANY ONE OF THE LAST M0 SELECTED STAR EVENTS. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3606 -- (FILTERING Q0-ELEMENT PERMUTATIONS FROM AN ARBITRARILY LARGE SEQUENCE SATISFYING THE PROPERTY THAT THE GIVEN PERM WAS NOT DETERMINED TO BE [*]-QUALIFIED VS. ANY ONE OF THE LAST NLAST SELECTED STAR EVENTS) (VARIANT AND HYBRID OF STAT2349 AND PERMUTATION VERSION OF STAT3605) READS A LARGE SET OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS ON THE ELEMENTS IN THE SET < 1, 2 , ... , L0 > FROM BASE.INP. THOSE PERMS FROM PERM.INP WHICH STATISFY THE PROPERTY THAT THE GIVEN PERMUTATION WAS NOT DETERMINED TO BE [*]-QUALIFIED VS. ANY ONE OF THE LAST M0 SELECTED STAR EVENTS ARE RECORDED IN PERM.OUT. A CUMULATIVE FILE OF [*]-QUALIFYING PERMUTATIONS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. ALSO STAT3605 FOR THE TEST EVENT VERSION OF STAT3606. ========================================================================= -- L 3607 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT OF STAT2343 ) STAT3607 READS AN ARBITRARY SEQUENCE OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP (GENERATED FROM STAT2349 AS PERM.OUT) AND GENERATES, FOR EACH PERMUTATION, A COMPLETE SET OF ALL [ Q0 C K0 ] K0-ELEMENT EVENTS AND READS A SEQUENCE OF K0-ELEMENT STAR EVENTS FROM BASE.INP. UTILIZING A GEOMETRIC PDF, STAT3607 DETERMINES THE PROBABILITY OF SUCCESS ON THE NEXT TRIAL FOR EACH GENERATED TEST EVENT, FILTERS ALL EVENTS HAVING A PROBABILITY EXCEEDING OR EQUAL TO SOME SELECTED REAL VALUE IN THE INTERVAL [ 0.0,1.0 ], AND GENERATES A MONITOR MATRIX REFLECTING THE OCCURRENCE CADENCES AND PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3607 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3607 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3607 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3607.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF INDEX DISPLACEMENT, IDELTA = # Trailing Zeros. STAT3607 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. STAT2343. ========================================================================= -- L 3608 -- ( STAT3608 DETERMINES THE PROBABILITY THAT AN ARBITRARY EVENT IN AN IMAX-ELEMENT SEQUENCE WILL HAVE A SUCCESS PRECISELY ON TRIAL # IMAX+1, FOLLOWING THE FINAL TRIAL SINCE THE OCCURRENCE OF THE LAST SUCCESS OVER IMAX STAR EVENT INDICES VIA EITHER ONE OF A NEGATIVE BINOMIAL, GEOMETRIC, OR POISSON PROBABILITY DISTRIBUTION, ANALYZING SUBSTRINGS OF FREQUENCY OCCURRENCE CADENCES TO DETERMINE THE PROBABILITY OF SUCCESS ON THE NEXT TRIAL FOR GENERIC EVENTS ) II ( VARIANT OF STAT3260 ) READS A SEQUENCE OF IMAX BINARY-VALUED ELEMENTS, REPRESENTING OCCURRENCE VS. NON-OCCURRENCE OF EACH EVENT IN A SEQUENCE, TO DETERMINE THE PROBABILITY OF OCCURRENCE OF THE EVENT ON THE NEXT SUCCESSIVE TRIAL BY DETERMINING THE PROBABILITY THAT THE EVENT WILL HAVE ITS Kth SUCCESS ON TRIAL # IMAX+1, THE FINAL TRIAL, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION, RATHER THAN A NEGATIVE-BINOMIAL DISTRIBUTION. STAT3608 ALSO DETERMINES THE ODDS IN FAVOR OF EACH EVENT E AND THE ODDS AGAINST THE OCCURRENCE OF E. CF. STAT3410, STAT3409, AND STAT3413 FOR FURTHER ANALYSIS. CF. STAT3436 FOR THE GENERATION OF STAT3608.INP OVER 6 DISTINCT COLUMNS AS EITHER STAT3608.IN1, STAT3608.IN2, STAT3608.IN3, STAT3608.IN4, STAT3608.IN5, OR STAT3608.IN6 FOR COLUMNS 1-6, RESPECTIVELY. STAT3608 IS A VARIANT OF STAT3318. CF. ALSO STAT3488, STAT3262, STAT3246 AND STAT3494. THREE DISTINCT PROBABILITY DISTRIBUTIONS ARE FEATURED IN STAT3608: NAMELY, NEGATIVE BINOMIAL, GEOMETRIC AND POISSON DISTRIBUTIONS. STAT3608 ANALYZES SUBSTRINGS OF FREQUENCY OCCURRENCE CADENCES TO DETERMINE THE PROBABILITY OF SUCCESS ON THE NEXT TRIAL FOR GENERIC EVENTS. CF. ALSO STAT3260, STAT3246, STAT2343, STAT2349, AND STAT3607. ========================================================================= -- L 3609 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC PROBABILITY DISTRIBUTION FUNCTION ) ( VARIANT OF STAT3246 ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3609 IS A VARIANT OF STAT3476 AND STAT3532. THE ROUTINE RANKS STAR ELEMENTS, BUT FILTERS STAR ELEMENTS, BASED UPON WHETHER OR NOT THE NUMBER OF 0'S SUCCEEDING THE LAST 1 IN THE STAR EVENT INTERSECTION OCCURRENCE SEQUENCE EXCEEDS A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3609 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0) IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE FIRST OCCURRING ELEMENT 1 IN THE (0,1) - OCCURRENCE MATRIX AND KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS. M1 IS THE DESIRED THRESHOLD VALUE FOR INDEXES: M1 (MOD KCT). STAT3609 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES ELEMENTS IN THE RANGE < 1, ... , L0 >, WHERE THE MAXIMUM VALUE OF L0 IS 54. CF. ALSO STAT893, STAT894, STAT899, AND STAT933. STAT3609 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3609 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. AN M0-ELEMENT PERMUTATION IS GENERATED INTO PERM7.OUT, CONSISTING OF THE HIGHEST RANKING ELEMENTS BY WEIGHT, D(L), OVER THE LAST Q0 K0-ELEMENT STAR EVENTS IN BASE.INP, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. THE SUBSET OF M0 UNIQUE ELEMENTS IS DETERMINED FROM THE LAST Q0 STAR EVENTS SELECTED IN REAL-TIME BY THE ANALYST AND RANED VIA WEIGHTS, , WITH FORMAT: [ I2,' ).',2X,I4,2X,I4,44X,F12.6 ] FOR FURTHER ANALYSIS. STAT3609 IS A VARIANT OF STAT3246, BUT ANALYSES SUB-STRINGS OF STAR EVENT INDICES TO DETERMINE PROBABILITIES OF SUCCESS ON THE TRIAL FOLLOWING THE LAST SUCCESS, BASED UPON ODDS IN FAVOR OF SUCCESS ON THE NEXT TRIAL. ========================================================================= -- L 3610 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT OF STAT2343 ) II COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 1-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3610 IS A VARIANT STAT2343 AND STAT3149, WITH EVENTS RANKED AND FILTERED WITH RESPECT TO OIF (ODDS IN FAVOR OS SUCCESS) VS. SUB-STRINGS OF STAR EVENTS IN BASE.INP, RATHER THAN THE ENTIRE JMAX STAR EVENTS. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3610 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3610 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3610.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING OR ASCENDING ORDER OF INDEX DISPLACEMENT, IDELTA = # Trailing Zeros. STAT3610 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. STAT2343. ========================================================================= -- L 3611 -- (EXTRACTING A Q0-ELEMENT PERMUTATION FROM A FIXED BLOCK GENERATED VIA STAT3246 AS STAT3611.INP BY SELECTING ELEMENTS HAVING FIVE SELECTED PARAMETERS, EACH ONE OF WHICH LIES WITHIN SEPARATE, SELECTED BOUNDS ) STAT3611 READS AN ( L0 x 7 )-DIMENSIONAL MATRIX FROM STAT3611.INP, GENERATED BY STAT3246, AS STAT3246.OT4, WITH ELEMENTS : L, LSTAR(L), TMAX(L), JTC(L), MTCM1(L), OAG(L), AND PROB(L) FOR L = 1, ... , L0. A Q0 ELEMENT PERMUTATION IS EXTRACTED FROM STAT3611.INP BY FILTERING ALL ELEMENTS HAVING FIVE SELECTED PARAMETERS LYING WITHIN SEPARATE, SELECTED BOUNDS READ FROM STAT3611.IN2 FOR THE PARAMETERS: TMAX(L), JTC(L), MTCM1(L), OAG(L), AND PROB(L). THE Q0-ELEMENT PERMUTATION IS RECORDED IN PERM.INP FOR FUTURE ANALYSIS. CF. STAT3246 FOR THE GENERATION OF STAT3611.INP. ========================================================================= -- L 3612 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS GENERATED FROM ALL [ M0 C K0 ] TEST EVENTS FROM A FIXED PERMUTATION OF SIZE M0 FOR THE CASES K0 = 5 AND 6 ) II ( VARIANT AND HYBRID OF STAT3555 AND STAT1618 ) ( UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION ) STAT3555 GENERATES A COMPLETE SET OF [ M0 C K0 ] K0-ELEMENT TEST EVENTS FROM A FIXED PERMUTATION IN PERM.INP AND READS IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND EACH GENERATED EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE IS AUTOMATICALLY TERMINATED WHEN A DESIRED NUMBER OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. STAT3612 READS A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3612.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM STAT3612.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3612.INP IS READ AS A FIXED K0-ELEMENT EVENT AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE 1. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3612 FILTERS TEST EVENTS FROM STAT3612.INP INTO STAT3612.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3612.INP ARE ACCEPTED AS [*]-QUALIFIED iff Property 1 : TMAX IN THE INTERVAL [ T1,T2 ] AND | TMAX | .GE. KCT, WHERE 1/KCT IS THE OCCURRENCE CADENCE OVER ALL STAR EVENTS. STAT3612 IS A VARIANT OF STAT13576 STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3612.INP IS COMPLETED FOR QUALIFYING K0-ELEMENT EVENTS OF A DESIRED OR SELECTED BLOCK-SIZE. STAR INDICES ARE USED IN SELECTING QUALIFYING TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3612 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3612 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF EVENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT3612. CF. ALSO STAT2383. A TRANSLATED FILE OF [*]-QUALIFYING EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT1654. [*]-QUALIFYING BLOCKS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETRIC PROBABILITY DISTRIBUTION. CF. STAT1618, STAT3554, STAT3555, AND STAT3576. ========================================================================= -- L 3613 -- ( PREDICTING FUTURE OCCURRENCE ODDS FOR A SEQUENCE OF ELEMENTS, , L = 1, 2, ... , L0 ) (QUALIFYING SINGLE ELEMENTS VIA A GEOMETRIC OR NEGATIVE BINOMIAL PDF) ( VARIANT OF STAT1618 ) STAT3613 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A SEQUENCE OF L0 ELEMENTS , L = 1, 2, ... , L0. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE 1. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF ELEMENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3613 FILTERS ELEMENTS INTO PERM.OUT AND PERM2.OUT. STAT3613 IS A VARIANT OF STAT16186. HOWEVER, ELEMENTS ARE PROCESSED, RATHER THAN K0-ELEMENT EVENTS. ELEMENT INTERSECTIONS VS. STAR EVENTS ARE USED IN SELECTING QUALIFYING ELEMENTS OVER ALL STAR EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3613 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3613 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF ELEMENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS A PERMUTATION VERSION OF STAT3613. CF. ALSO STAT2383. CF. ALSO STAT1654. [*]-QUALIFYING ELEMENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. ELEMENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA EITHER A GEOMETRIC OR NEGATIVE BINOMIAL PDF. CF. ALSO STAT1619, STAT3612, AND STAT3576. A CUMULATIVE FILE OF RANKED [*]-QUALIFYING TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3614 -- ( SELECTING AND QUALIFYING SINGLE ELEMENTS FROM , L = 1, ... , L0 BASED UPON A VECTOR [ V1,V2,V3 ] OF LOWER AND UPPER BOUND RANGES FOR PPP, TMAX, AND PROB OF EACH ELEMENT PRE-DETERMINED IN STAT3613.INP ) ( VARIANT OF STAT3613 ) STAT3614 READS AN (L0 x 4)-DIMENSIONAL MATRIX FROM STAT3614.INP PRE-GENERATED BY STAT3613 AND A SEQUENCE OF L0 ELEMENTS, , L = 1, 2, ... , L0 , EMBEDDED IN THE ( L0 x 4 )-DIMENSIONAL MATRIX STAT3614.INP, ALONG WITH CORRESPONDING VALUES FOR PPP(L), TMAX(L), AND PROB(L) FOR EACH L, PRE-DEFINED IN STAT3613. STAT3614 ALSO READS A SEQUENCE OF THREE RESPECTIVE RANGES FOR PPP % , PROB % , AND TMAX OVER ALL ELEMENTS, L, FROM STAT3613.INW. ALL ELEMENTS , L , HAVING PARAMETERS BOUNDED BY THE RANGES IN [ V1,V2,V3 ] FOR [ PPP % , PROB % , TMAX ] ELEMENTS, RANKED BY PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA A GEOMETIC PROBABILITY DISTRIBUTION ARE EXTRACTED AND RECORDED IN PERM.INP. CF. ALSO STAT1619, STAT3612, STAT3576, AND STAT3613. ========================================================================= -- L 3615 -- ( STAT3615 DETERMINES THE PROBABILITY THAT AN ARBITRARY EVENT IN AN IMAX-ELEMENT SEQUENCE WILL HAVE A SUCCESS PRECISELY ON TRIAL # IMAX+1, FOLLOWING THE FINAL TRIAL SINCE THE OCCURRENCE OF THE LAST SUCCESS OVER IMAX STAR EVENT INDICES VIA EITHER ONE OF A NEGATIVE BINOMIAL, GEOMETRIC, OR POISSON PROBABILITY DISTRIBUTION AFTER TACITLY TRANSFORMING INPUT BINARY ELEMENTS FROM STAT3615.INP INTO SUBSTRINGS OF BINARY ELEMENTS FOR ANALYSIS IN REAL TIME) ( VARIANT OF STAT3260 STAT3608 ) READS A SEQUENCE OF IMAX BINARY-VALUED ELEMENTS, REPRESENTING OCCURRENCE VS. NON-OCCURRENCE OF EACH EVENT IN A SEQUENCE, TO DETERMINE THE PROBABILITY OF OCCURRENCE OF THE EVENT ON THE NEXT SUCCESSIVE TRIAL BY DETERMINING THE PROBABILITY THAT THE EVENT WILL HAVE ITS Kth SUCCESS ON TRIAL # IMAX+1, THE FINAL TRIAL, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION, RATHER THAN A NEGATIVE-BINOMIAL DISTRIBUTION. STAT3615 ALSO DETERMINES THE ODDS IN FAVOR OF EACH EVENT E AND THE ODDS AGAINST THE OCCURRENCE OF E. CF. STAT3410, STAT3409, AND STAT3413 FOR FURTHER ANALYSIS. CF. STAT3436 FOR THE GENERATION OF STAT3615.INP OVER 6 DISTINCT COLUMNS AS EITHER STAT3615.IN1, STAT3615.IN2, STAT3615.IN3, STAT3615.IN4, STAT3615.IN5, OR STAT3615.IN6 FOR COLUMNS 1-6, RESPECTIVELY. STAT3615 IS A VARIANT OF STAT3318. CF. ALSO STAT3488, STAT3262, STAT3246 AND STAT3494. THREE DISTINCT PROBABILITY DISTRIBUTIONS ARE FEATURED IN STAT3615: NAMELY, NEGATIVE BINOMIAL, GEOMETRIC AND POISSON DISTRIBUTIONS, AFTER TACITLY TRANSFORMING INPUT BINARY ELEMENTS FROM STAT3615.INP INTO SUBSTRINGS OF BINARY ELEMENTS FOR ANALYSIS IN REAL TIME. STAT3615 IS A VARIANT OF STAT3260 AND STAT3608. STAT3615 PROCESSES UP TO 400 ENTRIES PER BINARY INPUT STRING IN STAT3615.INP. ========================================================================= -- L 3616 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS V ( BINARY SUBSTRING VARIANT OF STAT3269 AND STAT1618 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3616 IS A VARIANT STAT3487 AND STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3616 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3616 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3616 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3616.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3616 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3616 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3616, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. STAT3616 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3616 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. STAT3616 IS A VARIANT OF STAT3269, STAT2343, STAT3247, STAT3419, STAT3469, STAT3487, STAT3491, AND STAT1618. ========================================================================= -- L 3617 -- ( RANKING THE ELEMENTS OF EACH GIVEN K0-ELEMENT EVENT OF STAT3617.INP OR EACH GIVEN Q0-ELEMENT PERMUTATION OF PERM.INP IN DESCENDING ORDER OF OR < Pr( L WILL OCCUR ON THE NEXT TRIAL ) > ) STAT3617 READS AN ARBITRARY SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3617.INP OR PERM.INP, A MATRIX OF L0 ELTS. , L = 1, ... , L0 , FROM WT(L).INP, GENERATED BY STAT3613 AS STAT3614.INP, ALONG WITH PARAMETERS RELATED TO THEIR PROBABILITIES OF OCCURRING ON THE NEXT TRIAL. STAT3617 THEN RANKS THE ELEMENTS , L = 1, 2, ... , K0 IN EACH EVENT OF STAT3617.INP IN DESCENDING ORDER OF OR . EVENTS IN STAT3617.INP ARE K0-ELEMENT EVENTS, WHILE EVENTS IN PERM.INP ARE Q0-ELEMENT PERMUTATIONS, WITH Q0 IN { 1, ... , L0 }. THE TOP K0 K0 ELEMENTS OF EACH PERM IN PERM.OUT IS RECORDED IN STAT94.IN2. THE TOP 2 ELEMENTS OF EACH EVENT OR PERM ARE EXTRATED TO FORM A PAIR OF K0-ELEMENT EVENTS AND RECORDED IN STAT3622.INP. CF. STAT3613 FOR THE GENERATION OF WT(L).INP AS STAT3614.INP. ========================================================================= -- L 3618 -- ( PARTITIONING K0-ELEMENT EVENTS INTO TWO (K0/2)-ELEMENT SUBSTRINGS AND DETERMINING K0-ELEMENT EVENTS FROM BIPARTITE PAIRS OF EVENTS BY SELECTING UNIONS OF ALL FOUR SUBSTRINGS PER PAIR OF EVENTS ) STAT3618 READS A (BMAX x K0)-DIMENSIONAL MATRIX OF TEST EVENTS FROM STAT3618.INP AND PARTITIONS EACH EVENT INTO TWO (K0/2)-ELEMENT SUBSTRINGS. K0-ELEMENT EVENTS ARE GENERATED FROM EACH BIPARTITE PAIR OF TEST EVENTS BY THE SELECTION OF UNIONS OF ALL FOUR SUBSTRINGS PER PAIR OF EVENTS AND RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. STAT3618.INP MAY BE GENERATED BY STAT3617 AS STAT94.INP. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3619 -- ( RANKING K0-ELEMENT EVENTS IN DESCENDING ORDER OF PROBABILITY WEIGHTS EQUIVALENT TO THE PRODUCT OF THE PROBABILITIES THAT EACH ELEMENT WILL OCCUR ON THE NEXT TRIAL ) STAT3619 READS AN ARBITRARY SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3619.INP, A MATRIX OF L0 ELEMENTS , L = 1, 2, ... , L0 , FROM WT(L).INP, GENERATED BY STAT3613 AS STAT3614.INP, ALONG WITH PARAMETERS RELATED TO THEIR PROBABILITIES OF OCCURRING ON THE NEXT TRIAL. STAT3619 THEN DETERMINES THE PROBABILITY (I.E., THE PRODUCT OF THE PROBABILITIES OR WEIGHTS OF ALL K0 ELEMENTS ) THAT EACH K0-ELEMENT EVENT WILL OCCUR ON THE NEXT TRIAL. STAT3619 THEN RANKS THE EVENTS IN ORDER OF DESCENDING PROBABILITIES. CF. STAT3613 FOR THE GENERATION OF WT(L).INP AS STAT3614.INP. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3620 -- ( GENERATING ALL K0-SETS OF ELEMENTS FROM A FIXED PERMUTATION OF SIZE Q0, DETERMINING, OVER ALL [ Q0 C K0 ] K0-SETS, AND RANKING ALL K0-ELEMENT EVENTS IN DESCENDING ORDER OF PROBABILITY WEIGHTS EQUIVALENT TO THE PRODUCT OF THE PROBABILITIES THAT EACH ELEMENT WILL OCCUR ON THE NEXT TRIAL ) ( VARIANT AND PERMUTATION VERSION OF STAT3619 ) STAT3620 READS AN ARBITRARY SEQUENCE OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP, A MATRIX OF L0 ELEMENTS , L = 1, 2, ... , L0 , FROM WT(L).INP, GENERATED BY STAT3613 AS STAT3614.INP, ALONG WITH PARAMETERS RELATED TO THEIR PROBABILITIES OF OCCURRING ON THE NEXT TRIAL AND GENERATES ALL [ Q0 C K0 ] K0-SETS FROM EACH PERMUTATION. STAT3620 THEN DETERMINES THE PROBABILITY (I.E., THE PRODUCT OF THE PROBABILITIES OR WEIGHTS OF ALL K0 ELEMENTS ) THAT EACH K0-ELEMENT EVENT WILL OCCUR ON THE NEXT TRIAL. STAT3620 THEN RANKS THE EVENTS IN ORDER OF DESCENDING PROBABILITIES. CF. STAT3613 FOR THE GENERATION OF WT(L).INP AS STAT3614.INP. CF. ALSO STAT3619 FOR THE TEST EVENT VERSION OF STAT3620. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3621 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS X ( PERMUTATION VERSION OF STAT3616 ) ( BINARY SUBSTRING VARIANT OF STAT3269 AND STAT1618 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A LARGE SET OF Q0-ELEMENT PERMUTATIONS VS. A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER PMAX-EVENT BLOCK IN PERM.INP VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF REL. FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3621 IS A VARIANT STAT3616, STAT2343 AND STAT3247, ANALYZING PERMUTATIONS RATHER THAN TEST EVENTS, WITH PERMUTATIONS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3621 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING PERMUTATIONS, I.E., PERMUTATIONS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3621 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING PERMS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3621 READS SUB-BLOCKS OF BMAX PERMUTATIONS FROM PERM.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING PERMS ARE FILTERED AND RECORDED IN PERM.OUT, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED PERMUTATION. STAT3621 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A PERMUTATION VERSION OF STAT2343. CF. STAT3616 FOR THE TEST EVENT VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3621 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3621, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING PERMUTATIONS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN PERM.OUT. CODE RED-[*]-QUALIFYING PERMUTATIONS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN PERM2.OUT. CF. STAT3320 FOR ANOTHER PERMUTATION VERSION. A CUMULATIVE FILE OF [*]-QUALIFYING PERMUTATIONS IS RECORDED IN CUMULAT.OUT. STAT3621 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3621 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. STAT3621 IS A VARIANT OF STAT3616, STAT3269, STAT2343, STAT3247, STAT3419, STAT3469, STAT3487, STAT3491, AND STAT1618. ========================================================================= -- L 3622 -- ( PARTITIONING BIPARTITE PAIRS OF K0-ELEMENT EVENTS INTO 8-EVENT SEQUENCES OF INTERLACED K0-ELEMENT EVENTS IN REAL TIME ) STAT3622 READS A (BMAX x K0)-DIMENSIONAL MATRIX OF TEST EVENTS FROM STAT3622.INP AND PARTITIONS EACH BIPARTITE PAIR OF K0-ELEMENT EVENTS INTO AN 8-EVENT SEQUENCE OF INTERLACED K0-ELEMENT EVENTS IN REAL TIME. GENERATED TEST EVENTS ARE RECORDED IN STAT3622.OUT. THE FILE STAT3622.INP MAY BE GENERATED BY STAT3617, WHICH RANKS THE ELEMENTS IN DESCENDING ORDER OF PROBABILITY OF OCCURING ON THE NEXT TRIAL. STAT3622.INP MAY ALSO BE GENERATED AS STAT94.INP BY STAT3616. ========================================================================= -- L 3623 -- ( TRANSLATING CONTIGUOUS PAIRS OF ELEMENTS FROM A FIXED K0-ELEMENT EVENT BY ELEMENTS FROM { -1,1} AND TRANSLATING ELEMENTS OF ITS SUCCESSOR BY ELEMENTS FROM { -2,2 } TO GENERATE THE UNION OF TRANSLATED ELEMENS TO BE RECORDED IN A NEW PERMUTATION ) STAT3623 READS A FIXED K0-ELEMENT TEST EVENT FROM STAT3623.INP AND GENERATES A NEW K0-ELEMENT EVENT FROM CONTIGUOUS PAIRS OF ELEMENTS BY ADDING ELEMENTS FROM { -1,1 }. CONTIGUOUS PAIRS OF ELEMENTS FROM THE RESULTING K0-ELEMENT EVENT ARE SUCCESSIVELY TRANSLATED BY ELEMENTS FROM { -2,2 } TO GENERATE A NEW K0-ELEMENT EVENT. THE UNION OF UNIQUE ELEMENTS FROM THE TWO GENERATED (TRANSLATED) TEST EVENTS IS THEN GENERATED AND RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. STAT3623 IS A VARIANT AND TEST EVENT OF STAT3624. ========================================================================= -- L 3624 -- ( TRANSLATING CONTIGUOUS TRIADS OF ELEMENTS FROM A FIXED 12-ELEMENT PERMUTATION BY ELEMENTS FROM { -1,1 } AND TRANSLATING TRIADS OF ELEMENTS FROM ITS SUCCESSOR BY ELEMENTS FROM { -2,2 } TO GENERATE A UNION OF TRANSLATED ELEMENS TO BE RECORDED IN A NEW PERMUTATION ) STAT3624 READS A FIXED 12-ELEMENT PERMUTATION FROM PERM.INP AND GENERATES A NEW 12-ELEMENT PERMUTATION FROM CONTIGUOUS TRIADS OF ELEMENTS BY ADDING ELEMENTS FROM { -1,1 }. CONTIGUOUS TRIADS OF ELEMENTS FROM THE RESULTING 12-ELEMENT PERMUTATION ARE SUCCESSIVELY TRANSLATED BY ELEMENTS FROM { -2,2 } TO GENERATE A NEW 12-ELEMENT PERMUTATION. UNIQUE ELEMENTS FROM THE UNION OF THE TWO GENERATED (TRANSLATED) PERMUTATIONS ARE RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. STAT3624 IS A VARIANT AND PERMUTATION VERSION OF STAT3623. ========================================================================= -- L 3625 -- ( TRANSLATING CONTIGUOUS TRIADS OF ELEMENTS FROM A FIXED 12-ELEMENT PERMUTATION BY ELEMENTS FROM { -1,1 } AND TRANSLATING TRIADS OF ELEMENTS FROM ITS SUCCESSOR BY ELEMENTS FROM { -2,2 } TO GENERATE A UNION OF TRANSLATED ELEMENS TO BE RECORDED IN A NEW PERMUTATION ) STAT3624 READS A FIXED 12-ELEMENT PERMUTATION FROM PERM.INP AND GENERATES A NEW 12-ELEMENT PERMUTATION FROM CONTIGUOUS TRIADS OF ELEMENTS BY ADDING ELEMENTS FROM { -1,1 }. CONTIGUOUS TRIADS OF ELEMENTS FROM THE RESULTING 12-ELEMENT PERMUTATION ARE SUCCESSIVELY TRANSLATED BY ELEMENTS FROM { -2,2 } TO GENERATE A NEW 12-ELEMENT PERMUTATION. UNIQUE ELEMENTS FROM THE UNION OF THE TWO GENERATED (TRANSLATED) PERMUTATIONS ARE RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. STAT3624 IS A VARIANT AND PERMUTATION VERSION OF STAT3223. ========================================================================= -- L 3626 -- ( RANKING L0 ELEMENTS IN ORDER OF NEGATIVE-BINOMIAL OR GEOMETRIC PROBABILITY OR IN ORDER OF TMAX RELATIVE TO BINARY OCCURRENCE CADENCES OVER THE LAST JMAX STAR EVENTS ) STAT3626 READS A SEQUENCE OF JMAX STAR EVENTS FROM BASE.INP AND A MATRIX OF L0 ELEMENTS FROM WT(L).INP (GENERATED BY STAT3613 AS STAT3614.INP), ALONG WITH CORRESPONDING VALUES FOR PPP(L), PR(L), AND TMAX(L) FOR EACH ELEMENT L, ( L = 1, 2, ... , L0), WHERE PPP(L) AND PR(L) ARE PROBABILITIES DEFINED IN STAT3613 AND TMAX(L) IS AND INDEX OCCURRENCE DISPLACEMENT DEFINED IN STAT3613.INP. THE L0 ELEMENTS OF WT(L).INP ARE RANKED IN DESCENDING ORDER OF PPP(L) AND PR(L) AND IN ASCENDING ORDER OF TMAX(L), RECORDED IN STAT94.INP, STAT94.IN2, AND STAT94.IN3, RESPECTIVELY. RANKED ELEMENTS ARE ALSO RECORDED WITH OCCURRENCE INCIDENCES VS. THE JMAX STAR EVENTS IN PERM.OUT, PERM2.OUT, AND PERM3.OUT, RESPECTIVELY. ========================================================================= -- L 3627 -- ( GENERATING K0-ELEMENT EVENTS FROM A (BMAX x K0) ) - DIMENSIONAL BLOCK OF EVENTS BY SELECTING ELEMENTS FROM PRESCRIBED ROWS AND COLUMNS BASED UPON UPON AN (RMAX x K0)-DIMENSIONAL BLOCK OF ROW INDEX VECTORS AND A (CMAX x K0)-DIMENSIONAL BLOCK OF COLUMN TRANSLATION VECTORS ) READS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS FROM STAT3627.INP, AN (RMAX x K0)-DIMENSIONAL BLOCK OF ROW INDEX VECTORS FROM STAT3627.IN2, A (CMAX x K0)-DIMENSIONAL BLOCK OF COLUMN TRANSLATION VECTORS FROM STAT3627.IN3, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE VECTORS FROM STAT3627.IN2 AND STAT3627.IN3 ARE UTILIZED TO SELECT ELEMENTS FROM STAT3627.INP OF THE FORM: B(R(M,J),C(M,J)), FOR J = 1,K0 TO DETERMINE K0-ELEMENT EVENTS TO BE RECORDED IN STAT94.INP, OPTIONALLY INCLUDING THE BLOCK OF EVENTS OF STAT3627.INP. THE ROUTINE READS UP TO 600 STAR EVENTS IN BASE.INP AND UP TO 100 EVENTS IN THE REMAINING INPUT FILES. STAT3627 IS A VARIANT OF STAT3241. CF. STAT3241 ========================================================================= -- L 3628 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS (CASE: K0 = 6) VI (VARIANT OF STAT3269, STAT3247, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF K0-ELEMENT EVENTS GENERATED FROM A FIXED PERMUTATION OF SIZE V0 READ FROM PERM.INP VS. A FINITE BASE SET OF STAR EVENTS READ FROM BASE.INP AND DETERMINES INSTERSECTION FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, GENERATING A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3628 IS A VARIANT STAT3269 AND STAT2343 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3628.INP. HOWEVER, STAT3628 UTILIZES A GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES OR A SEQUENCE OF PROBABILITY WEIGHTS OF ELEMENTS IN WT(L).INP DETERMINED AS WT(L).OUT FROM STAT3246 AND FILTERS [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3628 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3628 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3628.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3628 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3628 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3628, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A SEQUENCE OF PROBABILITY WEIGHTS, ,WT(L), L = 1, ... , L0 IS READ FROM WT(L).INP, GENERATED BY STAT3246 AS WT(L).OUT FOR EVENT PROBABILITIES. STAT3628 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3628 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. STAT3628 UTILIZES EITHER THE MEAN WEIGHT OF A K0-ELEMENT TO DETERMINE ITS PROBABILITY OR A GEOMETRIC, POISSON, OR NEGATIVE-BINOMIAL DISTRIBUTION FOR THE EVENT TO DETERMINE ITS PROBABILITY. ========================================================================= -- L 3629 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS (CASE: K0 = 5) VII (VARIANT OF STAT3629, STAT3247, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF K0-ELEMENT EVENTS GENERATED FROM A FIXED PERMUTATION OF SIZE V0 READ FROM PERM.INP VS. A FINITE BASE SET OF STAR EVENTS READ FROM BASE.INP AND DETERMINES INSTERSECTION FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, GENERATING A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3629 IS A VARIANT STAT3628 AND STAT2343 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3629.INP. HOWEVER, STAT3629 UTILIZES A GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES OR A SEQUENCE OF PROBABILITY WEIGHTS OF ELEMENTS IN WT(L).INP DETERMINED AS WT(L).OUT FROM STAT3246 AND FILTERS [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3629 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3629 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3629.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3629 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3629 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3629, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A SEQUENCE OF PROBABILITY WEIGHTS, ,WT(L), L = 1, ... , L0 IS READ FROM WT(L).INP, GENERATED BY STAT3246 AS WT(L).OUT FOR EVENT PROBABILITIES. STAT3629 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3629 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3630 -- ( GENERATING 3 COVERING SUB-PERMUTATIONS OF SIZE 2*(Q0/3) FROM A FIXED PERMUTATION OF SIZE Q0 BY SELECTING PAIRS OF NON-OVERLAPPING SUB-PERMUTATIONS OF SIZE Q0/3 ) STAT3630 READS A GIVEN PERMUTATION OF SIZE Q0 FROM PERM.INP. THREE COVERING SUB-PERMUTATIONS OF SIZE 2*(Q0/3) ARE GENERATED AND RECORDED INTO PERM.OUT, BY TACITLY SELECTING PAIRS OF NON-OVERLAPPING SUB-PERMUTATIONS TO BE ANALYZED FURTHER IN STAT3628, STAT3629, STAT3385, ET AL. PERM.INP MAY BE GENERATED BY STAT3246 AS PERM.OUT. STAT3630 IS A VARIANT OF STAT3482, STAT408, STAT427, STAT428, STAT429, AND STAT301A. THREE PERMUTATIONS OF SIZES Q0/3 IS ALSO GENERATED IN PERM2.OUT. ========================================================================= -- L 3631 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS ( CASE: K0 = 6, V1 = 12 ) VIII (VARIANT OF STAT3628, STAT3269, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF K0-ELEMENT EVENTS GENERATED FROM A FIXED PERMUTATION OF SIZE V0 READ FROM PERM.INP VS. A FINITE BASE SET OF STAR EVENTS READ FROM BASE.INP AND DETERMINES INSTERSECTION FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, GENERATING A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3631 IS A VARIANT STAT3628 AND STAT2343 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3631.INP. HOWEVER, STAT3631 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3631 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3631 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3631.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3631 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3631 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3631, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. STAT3631 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3631 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3632 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS ( CASE: K0 = 6, V1 = 24 ) IX (VARIANT OF STAT3631, STAT3269, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF K0-ELEMENT EVENTS GENERATED FROM A FIXED PERMUTATION OF SIZE V0 READ FROM PERM.INP VS. A FINITE BASE SET OF STAR EVENTS READ FROM BASE.INP AND DETERMINES INSTERSECTION FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, GENERATING A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3632 IS A VARIANT STAT3628 AND STAT2343 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3632.INP. HOWEVER, STAT3632 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3632 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3632 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3632.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3632 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3632 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3632, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. STAT3632 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3632 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3633 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 3-ELEMENT EVENTS (TRIADS) ( CASE: K0 = [5] or [6] , V1 = 3 ) X (VARIANT OF STAT3631, STAT3269, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF K0-ELEMENT EVENTS GENERATED FROM A FIXED PERMUTATION OF SIZE V0 READ FROM PERM.INP VS. A FINITE BASE SET OF STAR EVENTS READ FROM BASE.INP AND DETERMINES INSTERSECTION FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, GENERATING A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3633 IS A VARIANT STAT3631 AND STAT2343 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3633.INP. HOWEVER, STAT3633 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3633 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3633 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3633.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3633 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3633 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3633, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. STAT3633 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3633 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3634 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 3-ELEMENT EVENTS (PAIRS) ( CASE: K0 = [5] or [6] , V1 = 2 ) X (VARIANT OF STAT3633, STAT3269, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF K0-ELEMENT EVENTS GENERATED FROM A FIXED PERMUTATION OF SIZE V0 READ FROM PERM.INP VS. A FINITE BASE SET OF STAR EVENTS READ FROM BASE.INP AND DETERMINES INSTERSECTION FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, GENERATING A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3634 IS A VARIANT STAT3633 AND STAT2343 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3634.INP. HOWEVER, STAT3634 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3634 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3634 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3634.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3634 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3634 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3634, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. STAT3634 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3634 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. CF. STAT3633. ========================================================================= -- L 3635 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 1-ELEMENT EVENTS (SINGLETONS) ( CASE: K0 = [5] or [6] , V1 = 1 ) X (VARIANT OF STAT3634, STAT3269, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF K0-ELEMENT EVENTS GENERATED FROM A FIXED PERMUTATION OF SIZE V0 READ FROM PERM.INP VS. A FINITE BASE SET OF STAR EVENTS READ FROM BASE.INP AND DETERMINES INSTERSECTION FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, GENERATING A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3635 IS A VARIANT STAT3634 AND STAT2343 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3635.INP. HOWEVER, STAT3635 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3635 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3635 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3635.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3635 IS A DERIVATIVE AND VARIANT OF STAT3487 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3635 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3635, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. STAT3635 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3635 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. CF. STAT3633. ========================================================================= -- L 3636 -- ( DETERMINING THE CUMULATIVE PROBABILITY Pr(E) OF EVENT, E , WHERE Pr(E) = Pr( AT LEAST ONE OF THE TOP N RANKED EVENTS WILL INTERSECT FUTURE STAR EVENT # (IMAX+1) IN [ M1,M2 ] ELEMENTS ) ) ( VARIANT OF STAT3269 ) STAT3636 READS AN (IMAX x K0) BLOCK OF STAR EVENTS FROM BASE.INP AND READS FROM STAT3636.INP ( GENERATED, E.G., BY STAT3628 OR STAT3629 AS STAT94.INP ) A BLOCK OF K0-EVENTS, WITH CORRESPONDING PROBABILITIES THAT EACH EVENT WILL BE SUCCESSFUL ON THE NEXT TRIAL (IMAX+1) IN HAVING [ M1,M2 ] ELEMENTS IN COMMON WITH STAR EVENT # (IMAX+1). THE ROUTINE THEN DETERMINS THE CUMULATIVE PROBABILITY Pr(E) = Pr( AT LEAST ONE OF THE TOP N RANKED EVENTS WILL INTERSECT FUTURE STAR EVENT # (IMAX+1) IN [ M1,M2 ] ELEMENTS ). CF. STAT3628 OR STAT3629 FOR THE GENERATION OF STAT3636.INP AS OUTPUT FILE STAT94.INP. THE FILE PERM.INP IS GENERATED FOR USAGE IN STAT3558 AS PERM.INP. STAT3636.INP MAY ALSO BE GENERATED BY STAT2343 AS STAT94.INP. ========================================================================= -- L 3637 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 12-ELEMENT PERMUTATIONS ( CASE: K0 = 6, V1 = 12 ) VIII (VARIANT OF STAT3631, STAT3628, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING THE MEAN OF THE V1 PROBABILITIES PER V1-ELEMENT STRING ) ( NOT UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF 12-ELEMENT EVENTS GENERATED FROM A FIXED PERMUTATION OF SIZE V0 READ FROM PERM.INP VS. A FINITE BASE SET OF STAR EVENTS READ FROM BASE.INP AND DETERMINES INSTERSECTION FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, GENERATING A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3637 IS A VARIANT STAT3631 AND STAT3638 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3637.INP. HOWEVER, TO GENERATE MEAN PROBABILITIES OF PERMUTATION STRINGS, STAT3637 UTILIZES THE SUM OF THE WEIGHTS OF Q0 ELEMENTS DETERMINED FROM RANKED EVENT RECORDED IN FILE WT(L).INP AND GENERATED AS WT(L).OUT BY ROUTINE STAT3246, NOT UTILIZING GEOMETRIC, POISSON, NOR NEGATIVE BINOMIAL DISTRIBUTIONS. FILTERING [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3637 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3637 READS PERMUTATIONS FROM PERM.INP FOR SUB-PERMUTATION EXTRACTIONS AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING PERMS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED PERMUTATIONS. STAT3637 IS A DERIVATIVE AND VARIANT OF STAT3631 AND A PERMUTATION VERSION OF STAT2343. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3637 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3637, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. STAT3637 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3637 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3638 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 24-ELEMENT PERMUTATIONS ( CASE: K0 = 6, V1 = 24 ) IX (VARIANT OF STAT3637, STAT3628, STAT3632, STAT3469, STAT3487, STAT3491) ( UTILIZING THE MEAN OF THE V1 PROBABILITIES PER V1-ELEMENT STRING ) ( NOT UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF 24-ELEMENT EVENTS GENERATED FROM A FIXED PERMUTATION OF SIZE V0 READ FROM PERM.INP VS. A FINITE BASE SET OF STAR EVENTS READ FROM BASE.INP AND DETERMINES INSTERSECTION FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, GENERATING A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3638 IS A VARIANT STAT3631 AND STAT2343 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3638.INP. HOWEVER, TO GENERATE MEAN PROBABILITIES OF PERMUTATION STRINGS, STAT3638 UTILIZES THE SUM OF THE WEIGHTS OF Q0 ELEMENTS DETERMINED FROM RANKED EVENT RECORDED IN FILE WT(L).INP AND GENERATED AS WT(L).OUT BY ROUTINE STAT3246, NOT UTILIZING GEOMETRIC, POISSON, NOR NEGATIVE BINOMIAL DISTRIBUTIONS. FILTERING [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3638 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3638 READS PERMUTATIONS FROM PERM.INP FOR SUB-PERMUTATION EXTRACTIONS AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING PERMS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED PERMUTATIONS. STAT3638 IS A DERIVATIVE AND VARIANT OF STAT3631 AND A PERMUTATION VERSION OF STAT2343. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3638 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3638, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. STAT3638 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3638 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3639 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( CASE: K0 = 5 OR 6 , V1 = 9 ) X (VARIANT OF STAT3634, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING THE MEAN OF THE V1 PROBABILITIES PER V1-ELEMENT STRING ) ( NOT UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF 9-ELEMENT EVENTS GENERATED FROM A FIXED PERMUTATION OF SIZE V0 READ FROM PERM.INP VS. A FINITE BASE SET OF STAR EVENTS READ FROM BASE.INP AND DETERMINES INSTERSECTION FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, GENERATING A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3639 IS A VARIANT STAT3631 AND STAT3638 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3639.INP. HOWEVER, TO GENERATE MEAN PROBABILITIES OF PERMUTATION STRINGS, STAT3639 UTILIZES THE SUM OF THE WEIGHTS OF Q0 ELEMENTS DETERMINED FROM RANKED EVENT RECORDED IN FILE WT(L).INP AND GENERATED AS WT(L).OUT BY ROUTINE STAT3246, NOT UTILIZING GEOMETRIC, POISSON, NOR NEGATIVE BINOMIAL DISTRIBUTIONS. FILTERING [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3639 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING EVENTS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3639 READS PERMUTATIONS FROM PERM.INP FOR SUB-PERMUTATION EXTRACTIONS AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING PERMS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED PERMUTATIONS. STAT3639 IS A DERIVATIVE AND VARIANT OF STAT3631 AND A PERMUTATION VERSION OF STAT2343. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3639 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3639, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT. STAT3639 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3639 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. =========================================================================