= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2022 by J.E. Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part VII(b) ( STAT 3730 ----> STAT 3840 ) = = = = = = = = = = = = The COMP-U-STAT System consists of a cluster of more than 3860 = = = = 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 3730 ---> 3840 * * * ========================================================================= -- L 3730 -- ( FILTERING A SEQUENCE OF EVENTS FROM A LARGE SEQUENCE FOR WHICH EACH EVENT HAS A PRESCRIBED [ ODD, EVEN ] TYPE CONFIGURATION AND FOR WHICH EACH EVENT IN THE SEQUENCE OF STAR EVENTS SATISFIES THE SAME TYPE CONFIGURATION ) ( VARIANT OF STAT2407 ) STAT3730 READS A K0-ELEMENT ODD/EVEN TYPE-CONFIGURATION VECTOR FROM STAT3730,IN2 AND A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3730.INP. EVENTS ARE FILTERED WHICH HAVE A K0-ELEMENT BINARY [ ODD, EVEN ] TYPE CONFIGURATION MATCHING THE VECTOR IN STAT3730.IN2. SEQUENCE OF STAR EVENTS SATISFIES THE SAME TYPE CONFIGURATION. STAT3730 ALSO READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND GENERATED TEST EVENTS ARE INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. PROCESSING IS TERMINATED WHEN A DESIRED NUMBER , KMAX, OF TEST EVENTS IS FILTERED FROM STAT3730.INP. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF INTERSECTING TEST EVENTS. 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 EVENTS 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. STAT3730 IS A VARIANT OF STAT2187, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3730.OUT AND STAT94.INP. CF. STAT2300, STAT2303, AND STAT2304 FOR FURTHER PROCESSING OF EVENTS. STAT2300.IN2 IS A CUMULATIVE FILE, RECORDING SEQUENCES OF TYPE CONFIGURATIONS FOR [*]-QUALIFYING EVENTS. CF. ALSO STAT2407, STAT2461 AND STAT2462. ===================================================================== -- L 3731 -- ( FILTERING K0-ELEMENT EVENTS HAVING A DESIRED NUMBER OF UDGE5 VS. UDLT5 CONFIGURATION, AND COMPUTING BIASES UTILIZED FOR PREDICTING WHETHER EITHER UDGE5 OR UDLT5 ELEMENTS SHOULD DOMINATE IN THE NEXT STAR EVENT ) ( VARIANT OF STAT3729 , CYCLING OVER K0 SINGLE COLUMNS OF STAR EVENTS ) STAT3731 READS A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP AND A SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3731.INP, FROM WHICH IT DETERMINES AND GENERATES A MATRIX OF FREQUENCIES OF ELEMENTS FROM AN L0-ELEMENT SET. ELEMENTS ARE CLASSIFIED AS EITHER UDGE5 OR UDLT5. EVENTS FROM STAT3731.INP ARE FILTERED FOR WHICH THE NUMBER OF UDGE5 OR UDLE5 RANKS HIGHER VS. THE LAST IMAX STAR EVENTS OVER K0 COLUMNS. STAT3731 IS A VARIANT OF STAT3729 AND STAT1542, EXAMINING ELEMENTS OVER THE LAST Q0 STAR EVENTS, BACKING-UP Q0 EVENTS FROM THE FINAL STAR EVENT INDEX. THIS ALLOWS FOR THE DETERMINATION OF BIASES WHICH ARE UTILIZED FOR PREDICTING WHETHER UDGE5 OR UDLT5 SHOULD DOMINATE IN THE NEXT STAR EVENT. CF. ALSO STAT1541 AND STAT1542. STAT3731 IS A VARIANT OF STAT3729, CYCLING OVER K0 SINGLE COLUMNS OF STAR EVENTS. ===================================================================== -- L 3732 -- ( FILTERING A SEQUENCE OF EVENTS FROM A LARGE SEQUENCE FOR WHICH EACH EVENT HAS A PRESCRIBED [ UDGE5, UDLT5 ] TYPE CONFIGURATION AND FOR WHICH EACH EVENT IN THE SEQUENCE OF STAR EVENTS SATISFIES THE SAME TYPE CONFIGURATION ) ( VARIANT OF STAT3730 ) STAT3732 READS A K0-ELEMENT UDGE5/UDLT5 TYPE-CONFIGURATION VECTOR FROM STAT3732,IN2 AND A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3732.INP. EVENTS ARE FILTERED WHICH HAVE A K0-ELEMENT BINARY [UNGE5,UDLT5] TYPE CONFIGURATION MATCHING THE VECTOR IN STAT3732.IN2. SEQUENCE OF STAR EVENTS SATISFIES THE SAME TYPE CONFIGURATION. STAT3732 ALSO READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND GENERATED TEST EVENTS ARE INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. PROCESSING IS TERMINATED WHEN A DESIRED NUMBER , KMAX, OF TEST EVENTS IS FILTERED FROM STAT3732.INP. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF INTERSECTING TEST EVENTS. 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 EVENTS 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. STAT3732 IS A VARIANT OF STAT2187, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT3732.OUT AND STAT94.INP. CF. STAT2300, STAT2303, AND STAT2304 FOR FURTHER PROCESSING OF EVENTS. STAT2300.IN2 IS A CUMULATIVE FILE, RECORDING SEQUENCES OF TYPE CONFIGURATIONS FOR [*]-QUALIFYING EVENTS. CF. ALSO STAT2407, STAT2461 AND STAT2462. ===================================================================== -- L 3733 -- ( 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 CASE K0 = 6, ONLY ) ( VARIANT OF STAT1631, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION ) STAT3733 READS A Q0 ELEMENT PERMUTATION OF ELEMENTS FROM PERM.INP, ON , A K0-ELEMENT VECTOR OF COLUMN INDEX DISPLACENTS FROM STAT3733.IN2, AND GENERATES 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 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. STAT3733 FILTERS TEST EVENTS FROM STAT3733.INP INTO STAT3733.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3733.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TDELTA LIES IN [ TDELTA1,TDELTA2 ] , 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. STAT3733 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3733.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 STAT3733 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3733 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 STAT3733. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. CF. STAT2758. EVENTS IN STAT94.INP ARE RANKED IN DESCENDING ORDER OF TDELTA = IMAX+1-H(II). STAT3733 IS A VARIANT OF STAT3417, AND STAT1618, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION. STAT3733 GENERATES THE CRITICAL FILE STAT3525.INP. CF. STAT3525.BAT. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT FOR FURTHER ANALYSIS. STAT3733 IS A VARIANT OF STAT3553. CF. STAT3553. AN UP-DATED JUST-IN-TIME FILE OF HIGHLY LIKELY K0-ELEMENT TEST EVENTS (PROJECTED FOR WEEKS, MONTHS, OR YEARS INTO THE FUTURE) WITH SUGGESTED INTIAL DATES OF EVENT SUBMISSION, IS SAVED AND RECORDED INTO JIT.TXT FOR ONGOING ACCESS AND APPLICATION. CF. STAT3734 FOR THE CASE: K0 = 5. CF., ALSO, STAT1631. ===================================================================== -- L 3734 -- ( 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 CASE K0 = 5, ONLY ) ( VARIANT OF STAT3733, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION ) STAT3555 GENERATES 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 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. STAT3734 FILTERS TEST EVENTS FROM STAT3734.INP INTO STAT3734.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3734.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TDELTA LIES IN [ TDELTA1,TDELTA2 ] , 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. STAT3734 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3734.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 STAT3734 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3734 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 STAT3734. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. CF. STAT2758. EVENTS IN STAT94.INP ARE RANKED IN DESCENDING ORDER OF TDELTA = IMAX+1-H(II). STAT3734 IS A VARIANT OF STAT3417, AND STAT1618, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION. STAT3734 GENERATES THE CRITICAL FILE STAT3525.INP. CF. STAT3525.BAT. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT FOR FURTHER ANALYSIS. STAT3734 IS A VARIANT OF STAT3553. CF. STAT3553. AN UP-DATED JUST-IN-TIME FILE OF HIGHLY LIKELY K0-ELEMENT TEST EVENTS (PROJECTED FOR WEEKS, MONTHS, OR YEARS INTO THE FUTURE) WITH SUGGESTED INTIAL DATES OF EVENT SUBMISSION, IS SAVED AND RECORDED INTO JIT.TXT FOR ONGOING ACCESS AND APPLICATION. CF. STAT3733 FOR THE CASE: K0 = 6. CF., ALSO, STAT1631. ===================================================================== -- L 3735 -- ( APPENDING BIPARTITE PAIRS OF PERMUTIONS FROM A FIXED SEQUENCE OF PERMUTATIONS ON ENUM(I) ELEMENTS ) STAT 3735 READS A SEQUENCE OF PMAX PERMUTATIONS ON ENUM(I) ELEMENTS WITH I = 1,2, ... , PMAX, FROM PERM.INP, APPENDS ALL [ PMAX CHOOSE 2 ] PAIRS OF PERMUTATIONS, AND RECORDS ALL RESULTING PERMUTATIONS IN PERM.OUT FOR FURTHER ANALYSIS. ===================================================================== -- L 3736 -- ( 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 BY ANALYZING BOTH UNITS AND TENS DIGITS OF EACH INPUT ELEMENT ) ( VARIANT OF STAT3683 ) STAT3736 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A (BMAX x K0)-DIMENSIONAL BLOOCK OF TEST EVENTS FROM STAT3736.INP. RELSULTING OUTPUT EVENTS OF STAT3736 ARE 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. STAT3736.INP MAY BE BASE.INP OR GENERATED BY STAT3435 AS STAT3736.INP. STAT3736 GENERATES STAT3260.INP AS STAT3260.INP FOR ANALYSIS. STAT3736 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. STAT3736 ALSO RETRIEVES (VIA .BAT FILES) THE OUTPUT FILES TDGE4.INP, UDGE5.INP, UDODD.INP, HIGH.INP, AND TDODD.INP GENERATED BY STAT3436 TO BE UTILIZED AS STAT3736.INP FOR FURTHER ANALYSIS IN STAT3260 AS STAT3260.INP. STAT3736 IS A VARIANT OF STAT3683. ===================================================================== -- L 3737 -- ( GENERATING A Q0-ELEMENT PERMUTATION ON { 1 , 2 , ... , L0 } FROM A FIXED SUB-SEQUENCE OF DIGITS FROM { 0 , 1 , ... , 9 } ) STAT3737 READS A FIXED PERMUTATION OF SIZE N FROM PERM.INP ON DIGITS FROM { 0 , 1 , 2 , ... , 9 } AND GENERATES INTO PERM.OUT A SUB-PERMUTATION ON ELEMENTS FROM { 1, 2, ... , L0 }. ELEMENTS IN THE PERMUTATION IN PERM.OUT ARE DETERMINED BY SELECTING EACH PAIR OF DIGITS IN PERM.INP, AND ALTERNATELY EXCHANGING EACH ELEMENT AS THE UNITS DIGIT AND AS THE TENS DIGIT TO GENERATE CORRESPOND ELEMENTS IN PERM.OUT. ELEMENTS FOR INPUT FILE PERM.INP MAY BE GENERATED VIA STAT3736 + STAT3260. THE GENERATED FILE PERM.OUT IS UTILIZED IN STAT3121 AS THE INPUT FILE PERM.INP. THE FILE STAT201.INP IS GENERATED FOR ANALYSIS IN STAT201. ===================================================================== -- L 3738 -- ( GENERATING A ( K0 X Q0 ) - DIMENSIONAL BLOCK OF ELEMENTS FROM A FIXED ( K0 x Q0 ) - DIMENSIONAL BLOCK BY INTERCHANGING ELEMENTS IN EVEN VS. ODD ROWS AND EVEN VS. ODD COLUMNS ) ( INTERLACED ELEMENTS FROM A ( K0 x Q0 ) - DIMENSIONAL BLOCK ) STAT3738 READS A FIXED ( K0 x Q0 ) - DIMENSIONAL BLOCK OF ELEMENTS FROM STAT3738.INP ( GENERATED AS STAT3738.INP FROM STAT3737 ) AND GENERATES A NEW ( K0 x Q0 ) - DIMENSIONAL BLOCK INTO A NEW VERSION OF STAT201.INP, FOR ANALYSIS IN STAT201. CF. STAT3737 AND STAT201. ===================================================================== -- L 3739 -- ( GENERATING A ( BMAX X K0 ) - DIMENSIONAL BLOCK OF EVENTS FROM A FIXED ( CMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS BY THE INTERCHANGE OF ELEMENTS IN EVEN VS. ODD ROWS AND EVEN VS. ODD COLUMNS ) ( INTERLACED ELEMENTS FROM A ( CMAX x K0 ) - DIMENSIONAL BLOCK ) ( VARIANT OF STAT3738 ) STAT3739 READS A FIXED ( CMAX x K0 ) - DIMENSIONAL BLOCK OF EVENTS FROM STAT3739.INP ( GENERATED FROM ANOTHER SELECTED ROUTINE ) AND GENERATES A NEW ( BMAX x K0 ) - DIMENSIONAL BLOCK INTO STAT94.INP. STAT3739 IS A VARIANT OF STAT3738, BUT UTILIZES ALL BIPARTITE PAIRS OF ROWS OF STAT3739.INP, CONSISTING OF UP TO 1000 ROWS OF INPUT TEST EVENTS. ===================================================================== -- L 3740 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( TEST EVENT VERSION OF STAT3640 ) (VARIANT OF STAT3723, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( RESTRICTED TO Q0 SELECTED COLUMNS OF STAT3740.INP ) ( UTILIZING PRE-DETERMINED GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3740 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 > GENERATED VIA STAT3246, READS A LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3740.INP, AND RANKS THE EVENTS IN DESCENDING ORDER OF PRODUCTS OF SCALED WTS. OF ELEMENTS IN EACH OF THE COLUMNS < 1, 2, ... , K0>. STAT3740 IS A VARIANT OF STAT3723, ANALYZING K0-ELEMENT EVENTS FROM STAT3740.INP, RATHER THAN K0-ELEMENT SUB-STRINGS FROM AN INPUT PERMUTATION. A MINIMUM PRODUCT OF ELEMENT SCALED PROBABILITIES EQUAL TO OR EXCEEDING MINPROD, IS SELECTED IN REAL-TIME BY THE ANALYST. STAT3740 GENERATES THE OUTPUT FILE STAT94.INP, WHICH IS UTILIZED IN STAT2707 AS EITHER STAT2707.INP OR STAT2707.IN2, RESPECTIVELY. CF. ALSO STAT3723 WITH NO COLUMN RESTRICTIONS. ===================================================================== -- L 3741 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS (VARIANT OF STAT3723, STAT3740, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING PRE-DETERMINED GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3741 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 > GENERATED VIA STAT3246, READS A LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3741.INP, AND RANKS THE EVENTS IN DESCENDING ORDER OF PRODUCTS OF SCALED WTS. OF ELEMENTS IN EACH OF THE COLUMNS < 1, 2, ... , K0>. STAT3741 IS A VARIANT OF STAT3740 AND STAT3723, ANALYZING K0-ELEMENT EVENTS FROM STAT3741.INP, BUT SELECTING ALL POSSIBLE ELEMENT EVENTS FROM THE ROWS AND COLUMNS OF A ( K0 x Q0 ) - DIMENSIONAL BLOCK OF ELEMENTS IN STAT3741.INP, RATHER THAN READINDING K0 ELEMENT EVENTS FROM STAT3741.INP. A MINIMUM PRODUCT OF ELEMENT SCALED PROBABILITIES .GE. MINPROD, IS SELECTED IN REAL-TIME BY THE ANALYST. THE FILE STAT3741.INP MAY BE GENERATED BY STAT3739 AS STAT201.INP. ALTERNATIVELY, STAT3739.INP MAY BE UTILIZED AS STAT3741.INP. ===================================================================== -- L 3742 -- ( GENERATING K0-ELEMENT TEST EVENTS FROM A ( BMAX x K0 )-DIMENSIONAL BLOCK OF TENS DIGIT INCREMENTS AND A ( BMAX x K0 )-DIMENSIONAL BLOCK OF UNITS DIGIT INCREMENTS ) II ( VARIANT OF STAT3717 ) STAT3742 READS AN ( IMAX x K0-DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP, A ( BMAX x K0 )-DIMENSIONAL BLOCK OF TENS DIGITS FROM TENSDIG.INP, AND A ( BMAX x K0 )-DIMENSIONAL BLOCK OF UNITS DIGITS FROM UNITSDIG.INP (BOTH GENERATED IN STAT3683 AND STAT3260), AND GENERATES A BIPARTITE SEQUENCE OF K0-ELEMENT TEST EVENTS IN STAT3742.OUT OF THE FORM: 10*C(J) + D(J), FOR J = 1, 2, ... , K0. ===================================================================== -- L 3743 -- ( GENERATING K0-ELEMENT TEST EVENTS FROM A ( BMAX x K0-1 )-DIMENSIONAL BLOCK OF K0-ELEMENT COEFFICIENT VECTORS AND A SECOND ( BMAX x K0-1 ) -DIMENSIONAL BLOCK OF COEFFICIENT VECTORS ) III ( VARIANT OF STAT3742 ) STAT3743 READS AN ( IMAX x K0-1 ) DIMENSIONAL BLOCK OF STAR EVENTS FROM BASE.INP, A ( BMAX x K0-1 )-DIMENSIONAL BLOCK OF COEFFICIENT VECTORS BVECT.INP, AND A SECOND ( BMAX x K0-2 )-DIMENSIONAL BLOCK OF COEFFICIENT VECTORS FROM CVECT.INP, (PRE-SELECTED BY THE ANALYST), AND GENERATES A BIPARTITE SEQUENCE OF K0-ELEMENT TEST EVENTS IN STAT3743.OUT OF THE FORM: < A1,A2,A3,A4,A5,A6 >, WHERE A(K+1) = A(K) + B(K+1)*A(6) - C(K) , FOR K = 1,2, ... , 5. ===================================================================== -- L 3744 -- ( GENERATING K0-ELEMENT EVENTS FROM THE CROSS PRODUCT OF EVENTS IN A BLOCK OF TENS DIGITS VS. A BLOCK OF UNITS DIGITS ) ( VARIANT AND HYBRID OF STAT3742 AND STAT3269 ) STAT3744 READS A SEQUENCE OF ROW-INDEX VECTORS FROM STAT3744.INP, (GENERATED VIA STAT12 AS STAT12.OT4 ) A ( BMAX x K0 )-DIMENSIONAL BLOCK OF TENS DIGITS FROM TENSDIG.INP, AND A ( BMAX x K0 )- DIMENSIONAL BLOCK OF UNITS DIGITS FROM UNITSDIG.INP (BOTH GENERATED VIA STAT3683 AND STAT3260), AND GENERATES A BIPARTITE SEQUENCE OF K0-ELEMENT TEST EVENTS IN STAT94.INP OF THE FORM: 10*C(J) + D(J), FOR J = 1, 2, ... , K0 TO BE UTILIZED IN STAT2803 AND STAT3269, RESPECTIVELY. CF. , ALSO , STAT3742. ===================================================================== -- L 3745 -- ( GENERATING K0-ELEMENT TEST EVENTS FROM A ( BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS BY ESOTERIC SELECTION OF ELEMENTS FROM SELECTED ROWS AND COLUMNS ) STAT3745 READS A ( BMAX x K0 )-DIMENSIONAL BLOCK OF TENS DIGITS FROM STAT3745.INP ( GENERATED IN STAT3168 AS STAT94.INP ). TENSDIG.INP, AND A ( BMAX x K0 )-DIMENSIONAL BLOCK OF UNITS DIGITS K0-ELEMENT EVENTS ARE THEN GENERATED INTO A STAT3745.OUT. CF. STAT3168. ===================================================================== -- L 3746 -- ( 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 ) ( VARIANT OF STAT3683 ) STAT3746 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A (BMAX x K0)-DIMENSIONAL BLOOCK OF TEST EVENTS FROM STAT3746.INP. EACH ONE OF THE COLUMNS OF STAT3746 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. STAT3746.INP MAY BE BASE.INP OR GENERATED BY STAT3435 AS STAT3746.INP. STAT3746 GENERATES STAT3260.INP AS EITHER STAT3260.IN1, STAT3260.IN2, STAT3260.IN3, STAT3260.IN4, STAT3260.IN5, OR STAT3260.IN6 FOR SELECTED COLUMNS 1-6, RESPECTIVELY. CF. STAT3435 AND STAT3260. STAT3746 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. STAT3746 ALSO RETRIEVES (VIA .BAT FILES) THE OUTPUT FILES TDGE4.INP, UDGE5.INP, UDODD.INP, HIGH.INP, AND TDODD.INP GENERATED BY STAT3436 TO BE UTILIZED AS STAT3746.INP FOR FURTHER ANALYSIS IN STAT3260 AS STAT3260.INP. CF. ALSO STAT3683. ELEMENTS ARE CLASSIFIED VIA ONE OF THE FOLLOWING METHODS: 1 ) Element UNITS Digit is Odd <====== 1 ' 2 ) Element TENS Digit is Odd <====== 1 ' 3 ) Element UNITS Digit is .LE. 4 <====== 1 ' 4 ) Element TENS Digit is .LE. 4 <====== 1 ' 5 ) Element SUM of Digits is Odd <====== 1 ' ===================================================================== -- L 3747 -- ( INTERSECTING BINARY ARRAYS ) ( VARIANT OF STAT3685 ) STAT3747 READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3747.INP AND A (5 x K0)-DIMENSIONAL BINARY INCIDENCE MATRIX IN STAT3747.IN2, GENERATED VIA USAGE OF STAT3683, STAT3436, STAT3260, AND STAT3746 VIA SUBROUTINE BINMAT2 TO GENERATE A ( 5 x K0 )-DIMENSIONAL BINARY ARRAY F2(I,J), INTERSECTING IT WITH A PREVIOUSLY GENERATED BINARY ARRAY F1(I,J), DETERMINING AND PRINTING ALL K0-ELEMENT EVENTS, , J = 1, 2, ... , K0 FOR WHICH THE F1(I,J) AND F2(I,J) CONFIGURATIONS CONFIGURATIONS MATCH FOR A MINIMUM PRESCRIBED NUMBER OF PERCENTAGE OF ELEMENTS, MINNCT, IN EACH BINARY ARRAY. GEMERATED [*]-QUALIFYING TEST EVENTS ARE RECORDED IN STAT94.INP. CF.ALSO STAT3746 AND STAT3685. ELEMENTS ARE CLASSIFIED VIA ONE OF THE FOLLOWING METHODS: 1 ) Element UNITS Digit is Odd <=== 1 ===> UDO ' 2 ) Element TENS Digit is Odd <=== 1 ===> TDO ' 3 ) Element UNITS Digit is .LE. 4 <=== 1 ===> UDLE4 ' 4 ) Element TENS Digit is .LE. 4 <=== 1 ===> TDLE4 ' 5 ) Element SUM of Digits is Odd <=== 1 ===> SDO ' ===================================================================== -- L 3748 -- ( INTERSECTING BINARY ARRAYS ) ( VARIANT AND PERMUTATION VERSION OF STAT3747 ) STAT3748 READS A Q0-ELEMENT PERMUTATION FROM PERM.INP (GENERATED FROM STAT3246, E.G., FOR THE PURPOSE OF GENERATING A COMPLETE SET OF K0-ELEMENT EVENTS TO BE ANALIZED AS [*]-QUALIFYING EVENTS), AND A (5 x K0)-DIMENSIONAL BINARY INCIDENCE MATRIX IN STAT3748.IN2, GENERATED VIA USAGE OF STAT3683, STAT3436, STAT3260, AND STAT3746 VIA SUBROUTINE BINMAT2 TO GENERATE A ( 5 x K0 )-DIMENSIONAL BINARY ARRAY F2(I,J), INTERSECTING IT WITH A PREVIOUSLY GENERATED BINARY ARRAY F1(I,J), DETERMINING AND PRINTING ALL K0-ELEMENT EVENTS, , J = 1, 2, ... , K0 FOR WHICH THE F1(I,J) AND F2(I,J) CONFIGURATIONS CONFIGURATIONS MATCH FOR A MINIMUM PRESCRIBED NUMBER OF PERCENTAGE OF ELEMENTS, MINNCT, IN EACH BINARY ARRAY. GEMERATED [*]-QUALIFYING TEST EVENTS ARE RECORDED IN STAT94.INP. CF.ALSO STAT3746, STAT3685, AND STAT3747. ELEMENTS ARE CLASSIFIED VIA ONE OF THE FOLLOWING METHODS: 1 ) Element UNITS Digit is Odd <=== 1 ===> UDO ' 2 ) Element TENS Digit is Odd <=== 1 ===> TDO ' 3 ) Element UNITS Digit is .LE. 4 <=== 1 ===> UDLE4 ' 4 ) Element TENS Digit is .LE. 4 <=== 1 ===> TDLE4 ' 5 ) Element SUM of Digits is Odd <=== 1 ===> SDO ' ===================================================================== -- L 3749 -- ( GENERATING ALL POSSIBLE K0-ELEMENT TEST EVENT COMBINATIONS FROM A FIXED ( BMAX x K0 )-DIMENSIONAL BLOCK OF ELEMENTS FOR WHICH ELEMENTS IN GENERATED EVENTS RESIDE IN K0 DISTINCT COLUMNS ) ( VARIANT OF STAT3720 ) STAT3749 READS AN ( IMAX x K0-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3749.INP AND GENERATES A BLOCK OF K0-ELEMENT TEST EVENTS INTO STAT3749.OUT BY SELECTING CONTIGUOUS ALTERNATING TRIADS OR PAIRS OF ELEMENTS FROM PAIRS OF ADJACENT INPUT EVENTS. CF. STAT3720. GENERATED EVENTS ARE RECORDED IN STAT3749.OUT, FOR FUTURE ANALYSIS OR APPLICATIONS. STAT3749.INP MAY BE GENERATED BY STAT1631 AS / / STAT94.INP. / / ===================================================================== -- L 3750 -- ( GENERATING Q0-ELEMENT PERMUTATIONS FROM VERTICAL AND DIAGONAL PAIRS OF TENS AND UNITS DIGITS IN TWO INITIAL K0-ELEMENT EVENTS ) STAT3750 READS TWO K0-ELEMENT VECTORS, < C(1),C(2), ... , C(K0 > AND < D(1),D(2), ... , D(K0) > , FROM STAT3750.INP AND GENERATES A SEQUENCE OF K0 Q0-ELEMENT PERMUTATIONS INTO PERM.OUT BY SELECTING VERTIACAL AND DIAGONAL PAIRS OF UNITS AND TENS DIGITS FROM THE TWO INPUT VECTORS. STAT3750.INP MAY BE GENERATED AS STAT94.INP VIA STAT1631. ===================================================================== -- L 3751 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( 2nd PERMUTATION VERSION OF STAT3723 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) (VARIANT /STAT3640,STAT3639,STAT3638,STAT3419,STAT3469,STAT3487,STAT349 ) ( UTILIZING PRE-DETERMINED GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3751 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 > GENERATED VIA STAT3246, READS A V0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ELEMENTS IN EACH OF THE COLUMNS < 1, 2, ... , K0>. STAT3751 IS A VARIANT OF STAT3641 AND STAT3642 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3751.INP. A MINIMUM PRODUCT OF ELEMENT PROBABILITIES EQUAL TO OR EXCEED MINPROD, IS SELECTED IN REAL-TIME BY THE ANALYST. PERM.INP MAY BE GENERATED VIA STAT3750 AS PERM.OUT. ===================================================================== -- L 3752 -- ( GENERATING K0-ELEMENT TEST EVENTS FROM A ( BMAX x K0 )-DIMENSIONAL BLOCK OF ELEMENTS BY INTERCHANGING THE ELEMENT IN COLUMN K0 OF EACH INPUT EVENT WITH THE MINIMUM ELEMENT FROM THE FIRST K0-1 COLUMNS ) STAT3752 READS AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3752.INP AND GENERATES A NEW EVENT INTO STAT3752.OUT FROM EACH INPUT EVENT, BY INTERCHANGING THE ELEMENT IN COLUMN K0 WITH THE DETERMINED MINIMUM ELEMENT FROM THE THE FIRST K0-1 COLUMNS. THE K0 ELEMENTS OF EACH GENERATED EVENT ARE ARRANGED IN LEXICOGRAPHIC ORDER. ===================================================================== -- L 3753 -- ( TRANSFORMING BMAX FUNCTIONAL RANGES 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 ) ( VARIANT OF STAT3683 ) STAT3753 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A (BMAX x K0)-DIMENSIONAL BLOOCK OF TEST EVENTS FROM STAT3753.INP. EACH ONE OF THE COLUMNS OF STAT3753 IS EXPRESSED AS A BMAX-DIMENSIONAL VECTOR OF RANGES, , L= 1, ... , BMAX AND THE RANGES 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. STAT3753.INP MAY BE BASE.INP OR GENERATED BY STAT3435 AS STAT3753.INP. STAT3753 GENERATES STAT3260.INP AS EITHER STAT3260.IN1, STAT3260.IN2, STAT3260.IN3, STAT3260.IN4, STAT3260.IN5, OR STAT3260.IN6 FOR SELECTED COLUMNS 1-6, RESPECTIVELY. CF. STAT3435 AND STAT3260. STAT3753 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. STAT3753 ALSO RETRIEVES (VIA .BAT FILES) THE OUTPUT FILES TDGE4.INP, UDGE5.INP, UDODD.INP, HIGH.INP, AND TDODD.INP GENERATED BY STAT3436 TO BE UTILIZED AS STAT3753.INP FOR FURTHER ANALYSIS IN STAT3260 AS STAT3260.INP. CF. ALSO STAT3683. ===================================================================== -- L 3754 -- ( GENERATING K0-ELEMENT TEST EVENTS FROM A ( BMAX x K0-1 )-DIMENSIONAL BLOCK OF K0-ELEMENT COEFFICIENT VECTORS AND A REAL-TIME INTEGER VALUE SELECTED BY THE ANALYST ) IV ( VARIANT OF STAT3743 ) STAT3754 READS A K0-DIMENSIONAL SEQUENCE COEFFICIENT VECTORS FROM BVECT.INP AND A REAL-TIME INTEGER-VALUED BASE ELEMENT SELECTED BY BY THE ANALYST, UTILIZED TO GENERATE A SEQUENCE OF K0-ELEMENT EVENTS TO BE RECORDED IN STAT3754.OUT. GENERATED VECTORS RECORDED IN STAT3754.OUT ARE OF THE FORM: < v1*Q0,v2*Q0, ... , 1/2*v6*Q0 >. for each vector < v1 , v2 , ... , v6 > and each base element Q0. ===================================================================== -- L 3755 -- ( GENERATING K0-ELEMENT TEST EVENTS FROM A ( BMAX x K0-1 )-DIMENSIONAL BLOCK OF K0-ELEMENT COEFFICIENT VECTORS, A SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS, AND A REAL-TIME INTEGER VALUE SELECTED BY THE ANALYST IN REAL TIME ) V ( VARIANT OF STAT3754 AND STAT3743 ) STAT3755 READS A K0-DIMENSIONAL SEQUENCE COEFFICIENT VECTORS FROM STAT3755.INP, A SEQUENCE OF K0-ELEMENT TRANSLATION VECTORS IN STAT3755.IN2, AND A REAL-TIME INTEGER-VALUED BASE ELEMENT SELECTED BY THE ANALYST IN REAL TIME, UTILIZED TO GENERATE A SEQUENCE OF K0-ELEMENT EVENTS, RECORDED IN STAT3755.OUT. GENERATED VECTORS RECORDED IN STAT3755.OUT ARE OF THE FORM : < v1*Q0+C1, v2*Q0+C2, ... ,v6*Q0+C6 >, FOR EACH COEFFICIENT VECTOR < v1 , v2 , ... , v6 >, EACH TRANSLATION VECTOR < C1, ... , C6 >, AND EACH BASE ELEMENMT Q0. CF. STAT3754 AND STAT3743. ===================================================================== -- L 3756 -- ( READS A SEQUENCE OF L0 ELEMENTS , L = 1, 2, ... , L0, AND A SEQUENCE OF WEIGHTS OF ELEMENTS >, L = 1, 2, ... , L0 AND SORTS THE ELEMENTS IN DESCENDING MAGNITUDE OF WEIGHTS ) 3756 READS A SEQUENCE OF L0 ELEMENTS >, L = 1, 2, ... , L0 , FROM PERM.INP AND A SEQUENCE OF WEIGHTS OF ELEMENTS , L = 1, 2, ... , L0 FROM WT(L).INP AND SORTS THE ELEMENTS IN DESCENDING ORDER OF MAGNITUDE OT WEIGHTS, , L = 1, 2, 3, ... , L0 INTO PERM.OUT, TO BE ANALYZED IN AN ALTERNATE ROUTINE. WT(L).INP MAY BE GENERATED VIA STAT3490. SELECTED SUB-PERMUTATIO S ARE GENERATED AND RECORDED IN STAT201.INP AND STAT3168.INP. THE TOP-RANKED TEST EVENT IS RECORDED IN STAT94.INP. STAT3756 IS A VARIANT OF STAT3490. ====================================================================== -- L 3757 -- ( READS A BLOCK OF Q0-ELEMENT SEQUENCES, , L = 1, 2, ... , Q0, [ Q0 .GE. 12 ], WITH ELEMENTS PRESUMED TO BE LISTED IN EITHER ASCENDING OR DESCENDING (LEXICOGRAPHIC) ORDER OF WEIGHTS, AND GENERATES EACH SEQUENCE, A SELECTED 12-ELEMENT PERMUTATION, BASED UPON AN UNDERLYING GAUSSIAN OR NORMAL DISTRIBUTION ) ( PERMUTATION VARIANT OF STAT3759 ) STAT3757 READS FROM PERM.INP A BLOCK OF L0-ELEMENT SEQUENCES, , L = 1, 2, ... , Q0, [ Q0 .GE. 12 ], WITH ELEMENTS PRESUMED TO BE LISTED IN EITHER ASCENDING OR DESCENDING (LEXICOGRAPHIC) ORDER OF WEIGHTS, AND GENERATES, FOR EACH SEQUENCE, A SELECTED 12-ELEMENT PERMUTATION, BASED UPON AN UNDERLYING GAUSSIAN OR NORMAL DISTRIBUTION. GENERATED SUB-PERMUTATIONS ARE RECORDED INTO PERM.OUT FOR FURTHER ANALYSIS. A SPECIAL HIGH-PROBABILITY K0-ELEMENT EVENT IS GENERATED INTO STAT94.INP FOR EACH PERMUTATION. CF. ALSO PERM.OUT IN STAT3246. ====================================================================== -- L 3758 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PERMUTATION VARIANT OF STAT3246 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION ) STAT3758 READS A Q0-ELEMENT PERMUTATION FROM STAT3258.INP , AND 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. STAT3758 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. STAT3758 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). STAT3758 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. STAT3758 IS A VARIANT OF STAT3246, BUT PROCESSES THE ELEMENTS OF A Q0-ELEMENT PERMUTATION FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3758 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. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3758.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3758.OT4. STAT94.INP, A FILE OF FOUR K0-ELEMENT TEST EVENTS, IS EXTRACTED FROM OUTPUT PERMUTATIONS GENERATED AND RECORDED IN PERM.OUT. A DESIRED (BMAX x K0 )-DIMENSIONAL BLOCK OF TEST EVENTS GENERATED VIA STAT12 OVER A SELECTED NUMBER OF ELEMENTS < 1, 2, ... , 10 > IS RECORDED IN STAT3758.INP TO GENERATE THE TEST EVENTS OF OUPUT FILE STAT94.INP. THE ELEMENTS OF THE PERMUTATION IN INPUT FILE STAT3758.INP ARE RANKED IN DESCENDING ORDER OF WEIGHTS DETERMINED IN WT(L).OUT AND RECORDED AS PERM.INP FOR FURTHER ANALYSIS. ====================================================================== -- L 3759 -- ( READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT3759.INP, PRESUMED TO BE RANKED IN DESCENDING OR ASCENDING ORDER OF SOME PRESCRIBED FUNCTIONAL VALUE OR WEIGHT, WHERE BMAX .LE. 1000. TEN SELECTED K0-ELEMENT TESTED ARE SELECTED FROM STAT3759.INP, BASED UPON AN UNDERLYING GAUSSIAN OR NORMAL DISTRIBUTION ) ( TEST EVENT VARIANT OF STAT3757 ) STAT3759 READS BMAX K0-ELEMENT TEST EVENTS FROM STAT3759.INP, PRESUMED TO BE RANKED IN DESCENDING OR ASCENDING ORDER OF SOME PRESCRIBED FUNCTIONAL VALUE OR WEIGHT, WHERE BMAX .LE. 1000. TEN SELECTED K0-ELEMENT TESTED ARE SELECTED FROM STAT3759.INP, BASED UPON AN UNDERLYING GAUSSIAN OR NORMAL DISTRIBUTION ). THE TEN SELECTED K0-ELEMENT EVENTS ARE RECORDED AS STAT3759.OUT FOR FURTHER ANALYSIS. CF. STAT3757 FOR THE PERMUTATION VERSION OF STAT3759. ====================================================================== -- L 3760 -- MONITOR MATRIX GENERATOR XXXXXX CUMULATIVE FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS VS. A BLOCK OF IMAX STAR 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 AND DETERMINES THE CUMULATIVE FREQUENCY OF ELEMENTS OF EACH TEST EVENT VS. ALL K0-ELEMENT STAR EVENTS RESIDING IN BASE.INP. STAT3760 IS A VARIANT STAT2343 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 STAT3760 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. STAT3760 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3760.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. STAT3760 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 K0-ELEMENT [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT FOR FURTHER ANALYSIS IN STAT3759, ET AL. ====================================================================== -- L 3761 -- MONITOR MATRIX GENERATOR XXXXXX CUMULATIVE FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS VS. A BLOCK OF IMAX STAR EVENTS ( VARIANT OF STAT3760 ) IV READS A FIXED L0-ELEMENT PERMUTATION FROM PERM.INP ON THE ELEMENTS < 1,...,L0>, AND GENERATES A COMPLETE SET OF K0-ELEMENT EVENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT VS. A BASE SET OF STAR EVENTS IN BASE.INP, DETERMINES THE RELATIVE FREQUENCIES, 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 AND DETERMINES THE CUMULATIVE FREQUENCY OF ELEMENTS OF EACH TEST EVENT VS. ALL K0-ELEMENT STAR EVENTS RESIDING IN BASE.INP. STAT3761 IS A VARIANT STAT2343 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. BIF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3761 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. STAT3761 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3761.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. STAT3761 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 K0-ELEMENT [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT FOR FURTHER ANALYSIS IN STAT3759, ET AL. ====================================================================== -- L 3762 -- ( READING AND RE-FORMATTING EXTRACTED ONLINE GMM.INP AND GPB.INP FILES FOR INPUT AS STAR EVENTS IN BASE.INP FOR ALL COMP-U-STAT ROUTINES ) STAT3762 READS THE FILE STAT3762.INP, EXTRACTED FROM UPDATED ONLINE STAR EVENTS, AND RE-FORMATS THE FILE FOR INPUT AS STAR EVENTS IN BASE.INP FOR ALL COMP-U-STAR ROUTINES. BASE.INP IS GENERATED IN STAT3762 WITH OUTPUT FORMAT: [ A8,1X,6(I3,2X) ] WHICH SHOULD BE MATCHED WITH METHOD # [ 20 ] OR # [ 14 ] IN STAT1477. ====================================================================== -- L 3763 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( PERMUTATION VERSION OF STAT3723 ) ( VARIANT OF STAT3640 AND STAT3288 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) ( UTILIZING PRE-DETERMINED GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3763 READS AN L0-ELEMENT SEQUENCE OF PROBABILITIES/WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 > GENERATED VIA STAT3246, READS A [ K0 x V0 ] PERMUTATION BLOCK FROM PERM.INP ON THE ELEMENTS IN PERM.INP, DETERMINES ALL [ V0 C K0 ] K0-ELEMENT TEST EVENTS, AND RANKS THE EVENTS IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ELEMENTS IN EACH OF THE COLUMNS < 1, 2, ... , K0>. STAT3763 IS A VARIANT OF STAT3640 AND STAT3288, ANALYZING K0-ELEMENTS VIA THE V0 * V0 TEST EVENTS GENERATED FROM PERM.INP, RATHER THAN K0-ELEMENT EVENTS READ FROM STAT3763.INP. A MINIMUM PRODUCT OF ELEMENT PROBABILITIES EQUAL TO OR EXCEED MINPROD, IS SELECTED IN REAL-TIME BY THE ANALYST. ====================================================================== -- L 3764 -- ( READS A SEQUENCE OF L0 ELEMENTS , L = 1, 2, ... , L0, (E.G., FREQUENCIES GENERATED VIA STAT3246 AS PERM.INP, AND ASSIGNS A NEW WEIGHT, WT(L), TO EACH ELEMENT, L , UTILIZING THE EMPIRICAL RULE FOR A GAUSSIAN OR NORMAL DISTRIBUTION ) ( VARIANT OF STAT3490 ) II STAT3764 READS A SEQUENCE OF L0 ELEMENTS >, L= 1,2, ... , L0, FROM PERM.INP, E.G. FREQUENCIES GENERATED VIA STAT3246 AS PERM.INP AND ASSIGNS A NEW WEIGHT , WT(L), TO EACH ELEMENT , L, ASSIGNED TO EACH ELEMENT, L , UTILIZING THE EMPIRICAL RULE FOR A GAUSSIAN OR NORMAL DISTRIBUTION. THE NEW WEIGHTS ARE RECORDED IN WT(L).OUT, TO BE FURTHER ANALYZED IN ANOTHER ROUTINE, E.G., STAT3763 AND STAT3723. ====================================================================== -- L 3765 -- STAT3765 READS AN ARBITRARILY LARGE SEQUENCE OF EVENTS FROM STAT3765.INP AND A [ BMAX x K0 ] - DIMENSIONAL MATRIX OF EVENTS FROM STAT3765.IN2 ON ELEMENTS IN < 1, 2, ... , L0 >. SUBSEQUENTLY, A PRESCRIBED NUMBER OF K0-ELEMENT EVENTS IS FILTERED FROM STAT3765.INP FOR WHICH A MAXIMUM DESIRED NUMBER OF ELEMENTS PER EVENT INTERSECTS AT LEAST ONE COLUMN OF ELEMENTS IN STAT3765.IN2. [*]-QUALIFYING TEST EVENTS SATISFYING THIS CRITERION ARE RECORDED IN STAT94.INP IN REAL-TIME, FOR PROCESSING IN OTHER ROUTINES. ANALYTICS ARE SUMMARIZED IN STAT3765.OUT. ====================================================================== -- L 3766 -- STAT3766 READS AN L0-ELEMENT PERMUTATION FROM PERM.INP, (GENERATED FROM STAT3764 AS PERM.OUT) WITH ELEMENTS RANKED AND LISTED IN DESCENDING ORDER OF SOME METRIC, SUCH AS FREQUENCY OR GAUSSIAN PROBABILITY OF NEXT OCCURRENCE, AND CONSTRUCTS AN (NROWS x NCOLS)- DIMENSIONAL MATRIX OF EVENTS, RECORDING IT AS STAT3766.INP. OVER ALL ELEMENTS IN < 1, 2, ... , L0 >. SUBSEQUENTLY, FROM STAT3766.INP, A COMPLETE SET OF [ L0 / (NCOLS/2) CHOOSE 2 ] PERMUTATIONS IS GENERATED AND RECORDED AS PERM.OUT, FOR UTILIZATION AS PERM.INP, IN OTHER ROUTINES, E.G,, STAT28 AND, SUBSEQUENTLY, STAT3763. ====================================================================== -- L 3767 -- ( EXTRACTING [*]-QUALIFYING HIGH PROBABILITY EVENTS FROM A LARGE SEQUENCE FOR WHICH EACH ELEMENT PERFECTLY SATISFIES ALL PRE-DETERMINED ATTRIBUTES OF A (5 x K0)-DIMENSIONAL MATRIX GENERATED VIA STAT3746 AND STAT3260, IN TANDEM ) STAT3767 READS AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT EVENTS ON < 1, 2, ... , L0 > FROM STAT3767.INP AND A FIXED 9 5 x K0 )- DIMENSIONAL MATRIX OF ATTRIBUTES IN STAT3767.INP, PRE-DETERMINED VIA STAT3746 AND STAT3260, IN TANDEM. ALL K0-ELEMENT EVENTS WHICH COMPLETELY MATCH THE ATTRIBUTES IN STAT3767.IN2 ARE EXTRACTED OR FILTERED FROM STAT3767.INP INTO STAT3767.OUT FOR FURTHER USAGE AS HIGH-PROBABILITY EVENTS. ELEMENTS ARE CLASSIFIED VIA A CONGLOMERATION OF THE FOLLOWING METHODS: 1 ) UNITS Digit of Element is Odd <=== UDO UNITS Digit of Element is Even <=== UDE 2 ) TENS Digit of Element is Odd <=== TDO TENS Digit of Element is Even <=== TDE 3 ) UNITS Digit of Element is .LE. 4 <=== UDLE4 UNITS Digit of Element is .GT. 4 <=== UDGT4 4 ) TENS Digit of Element is .LE. 4 <=== TDLE4 TENS Digit of Element is .GT. 4 <=== TDLE4 5 ) SUM of Element Digits is Odd <=== SDO SUM of Element Digits is Even <=== SDE CF. STAT3746 AND STAT3260 IN TANDEM, FOR GENERATING THE ( 5 x K0 )- DIMENSIONAL MATRIX ENTRIES OF STAT3767.IN2. ====================================================================== -- L 3768 -- EXTRACTING A (1 x 5)-DIMENSIONAL VECTOR < T1,T2,T3,T4,T5 > OF ATRIBUTES OF DUAL PAIRS FROM ( UDO, UDE, TDO, TDE, UDLE4, UDGT4, TDLE4, TDGT4, SDO, SDE ) WHERE T1, T2, T3, T4, AND T5 REPRESENT THE MOST FREQUENTLY OCCURRING ATTRIBUTE PER DUAL PAIR OVER AN ( IMAX x K0 )-DIMENSIONAL MATRIX OF STAR EVENTS on <1, 2, ... , L0>. STAT3768 READS AN ( IMAX x K0 )-MATRIX OF STAR EVENTS FROM BASE.INP, AND A FIXED (L0 x 5)-DIMENSIONAL MATRIX OF ATTRIBUTES IN STAT3768.IN2, DETERMINED VIA STAT3767. UTILIZING THE CONFIGURATION IN STAT3768.IN2 A (1 x 5)-DIMENSIONAL VECTOR < T1,T2,T3,T4,T5 > OF ATTRIBUTES OF DUAL PAIRS FROM ( UDO, UDE, TDO, TDE, UDLE4, UDGT4, TDLE4, TDGT4, SDO, SDE ) WHERE T1, T2, T3, T4, AND T5 ARE EXTRACTED, REPRESENTING THE MOST FREQUENTLY OCCURRING ATTRIBUTE PER DUAL PAIR OVER AN ( IMAX x K0 )-DIMENSIONAL MATRIX OF STAR EVENTS on <1, 2, ... , L0>. THE RESULTING VECTOR < T1, T2, T3, T4, T5 > IS UTILIZED IN STAT3769 AD STAT3769.IN1. 1 ) UNITS Digit of Element is Odd <=== UDO UNITS Digit of Element is Even <=== UDE 2 ) TENS Digit of Element is Odd <=== TDO TENS Digit of Element is Even <=== TDE 3 ) UNITS Digit of Element is .LE. 4 <=== UDLE4 UNITS Digit of Element is .GT. 4 <=== UDGT4 4 ) TENS Digit of Element is .LE. 4 <=== TDLE4 TENS Digit of Element is .GT. 4 <=== TDLE4 5 ) SUM of Element Digits is Odd <=== SDO SUM of Element Digits is Even <=== SDE CF. STAT3768, STAT3746 AND STAT3260 IN TANDEM, FOR GENERATING THE ( 5 x K0 ) - DIMENSIONAL MATRIX ENTRIES OF STAT3768.IN2. ====================================================================== -- L 3769 -- ( EXTRACTING [*]-QUALIFYING HIGH PROBABILITY ELEMENTS FROM AN (L0 x 5)-DIMENSIONAL MATRIX/ARRAY BY INTERSECTING IT WITH THE ATTRIBUTES OF A PRE-DETERMINED (1 x 5)-DIMENSIONAL HIGH-PROBABILITY VECTOR, CONSTRUCTED VIA STAT3746 AND STAT3260, IN TANDEM ) STAT3769 READS A PRE-DETERMINED HIGH-PROBABLITY (1 x 5)-VECTOR OF ATTRIBUTES FROM STAT3769.IN1, DETERMINED FROM STAT3746 AND STAT3260, A FIXED (L0 x 5)-DIMENSIONAL MATRIX OF ATTRIBUTES IN STAT3769.IN2, DETERMINED VIA STAT3767, STAT3746 AND STAT3260. ALL ELEMENTS FROM STAT3769.IN2 WHICH COMPLETELY MATCH THE ATTRIBUTES IN STAT3769.IN1 ARE FILTERED FROM STAT3769.IN2 INTO PERM.INP AS HIGH-PROBABILITY ELEMENTS FOR FURTHER ANALYSIS. ELEMENTS ARE CLASSIFIED VIA A CONGLOMERATION OF THE FOLLOWING METHODS: 1 ) UNITS Digit of Element is Odd <=== UDO UNITS Digit of Element is Even <=== UDE 2 ) TENS Digit of Element is Odd <=== TDO TENS Digit of Element is Even <=== TDE 3 ) UNITS Digit of Element is .LE. 4 <=== UDLE4 UNITS Digit of Element is .GT. 4 <=== UDGT4 4 ) TENS Digit of Element is .LE. 4 <=== TDLE4 TENS Digit of Element is .GT. 4 <=== TDLE4 5 ) SUM of Element Digits is Odd <=== SDO SUM of Element Digits is Even <=== SDE CF. STAT3769, STAT3746 AND STAT3260 IN TANDEM, FOR GENERATING THE ( 5 x K0 )- DIMENSIONAL MATRIX ENTRIES OF STAT3769.IN1 AND STAT3769.IN2. ====================================================================== -- L 3770 -- ( EXTRACTING [*]-QUALIFYING HIGH PROBABILITY ELEMENTS FROM AN (IMAX x (K0-1))-DIMENSIONAL MATRIX/ARRAY OF STAR EVENTS, BASED UPON FREQUENCY OF OCCURRENCE VS. NON-OCCURRENCE OR RELATIVE FREQUENCY OF OCCURRENCE VS. NON-OCCURRENCE OF ELEMENTS FROM THE SEQUENCE < 1,2,3, ... , L0 > ) STAT3770 READS A PRE-DETERMINED ( IMAX x (K0-1 ) ) - DIMENSIONAL MATRIX OF (K0-1)-ELEMENT EVENTS FROM BASE.INP AND TACITLY EXTRACTS, INTO PERM.OUT, A PERMUTATION OF [*]-QUALIFYING ELEMENTS FROM < 1, 2, 3, ... , L0 > , BASED UPON THE MOST DOMINANT OF THE OCCURRENCE VS. NON-OCCURRENCE OF EACH ELEMENT, L. [*]-QUALIFYING ELEMENTS ARE RECORDED IN PERM.OUT AND PERM.INP FOR FURTHER ANALYSIS. SIX K0-ELEMENT HIGH-PROBABILITY VECTORS ARE RECORDED IN STAT94.INP, REPRESENTING THE TOP SIX POSSIBLE EVENTS VIA QUASI-MEAN FREQUENCIES OVER UNIONS OF SUBSTRINGS FROM THE PERMUTATION PERM.OUT. THE FILE STAT201.INP IS GENERATED FROM ELEMENTS OF THE SIX GENERATED EVENTS OF STAT94.INP. ====================================================================== -- L 3771 -- ( EXTRACTING [*]-QUALIFYING HIGH PROBABILITY ELEMENTS FROM AN (IMAX x (K0)-DIMENSIONAL MATRIX/ARRAY OF STAR EVENTS, BASED UPON FREQUENCY OF OCCURRENCE VS. NON-OCCURRENCE OR RELATIVE FREQUENCY OF OCCURRENCE VS. NON-OCCURRENCE OF ELEMENTS FROM THE SEQUENCE < 1,2,3, ... , L0 > ) II ( VARIANT OF STAT3770 , RESTRICTED TO EACH COLUMN IN [ 1,K0 ] FOR BASE.INP STAR EVENTS ) STAT3771 READS A PRE-DETERMINED ( IMAX x (K0-1 ) ) - DIMENSIONAL MATRIX OF (K0-1)-ELEMENT EVENTS FROM BASE.INP AND TACITLY EXTRACTS, INTO PERM.OUT, A PERMUTATION OF [*]-QUALIFYING ELEMENTS FROM < 1, 2, 3, ... , L0 > , BASED UPON THE MOST DOMINANT OF THE OCCURRENCE VS. NON-OCCURRENCE OF EACH ELEMENT, L. [*]-QUALIFYING ELEMENTS ARE RECORDED IN PERM.OUT AND PERM.INP FOR FURTHER ANALYSIS. ELEMENTS ANALYZED ARE RESTRICTED TO EACH COLUMN IN [ 1,K0 ] FOR BASE.INP STAR EVENTS. SIX K0-ELEMENT HIGH-PROBABILITY VECTORS ARE RECORDED IN STAT94.INP, REPRESENTING THE ELEMENTS OCCURRING WITH QUASI-MEAN FREQUENCY IN EACH ONE OF THE K0 COLUMNS OF BASE.INP. THE FILE STAT201.INP IS GENERATED FROM ELEMENTS OF THE SIX GENERATED EVENTS OF STAT94.INP. ====================================================================== -- L 3772 -- (FILTERING AND RANKING RANDOMLY GENERATED K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS) ( HYBRID OF STAT3255 AND STAT3770 ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3772.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM PERM.INP ( GENERATED VIA STAT2916, AS PERM.OUT 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 STAT3772.INP AND RANKED IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT. GENERATED [*]-QUALIFYING EVENTS ARE RECORDED IN STAT94.INP. THE WEIGHTS IN PERM.INP MAY ALSO BE GENERATED AS PERM2.INP BY STAT3770. STAT3772 IS A VARIANT AND HYBRID OF STAT3255 AND STAT3770. THE K0-ELEMENT EVENTS FILTERED FROM STAT3772.INP INTO STAT94.INP MAY BE MANUALLY SORTED BY WEIGHT FOR FURTHER ANALYSIS. ====================================================================== -- L 3773 -- (FILTERING AND RANKING RANDOMLY GENERATED K0-ELEMENT EVENTS FROM AN ARBITRARILY LARGE SEQUENCE IN DESCENDING ORDER OF SUMS OF WEIGHTS OF ALL K0 ELEMENTS) ( HYBRID OF STAT3770 AND STAT3772 ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3773.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM PERM.INP ( GENERATED VIA STAT2916, AS PERM.OUT 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. K0 ELEMENTS WITHIN EACH TEST EVENT ARE ARRANGED/RANKED IN DESCENDING ORDER OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT AND RECORDED IN STAT94.INP TO BE UTILIZED IN A COMBINATION OF ROUTINES. THE WEIGHTS IN PERM.INP MAY ALSO BE GENERATED AS PERM3772.INP BY STAT3770. STAT3773 IS A VARIANT AND HYBRID OF STAT3770 AND STAT3772. ====================================================================== -- L 3774 -- (FILTERING AND RANKING PRE-GENERATED K0-ELEMENT EVENTS FROM BI-PARTITE CONTIGUOUS 3-ELEMENT SUB-STRINGS OF K0-ELEMENT EVENTS OR TRI-PARTITE CONTIGUOUS 2-ELEMENT SUBSTRINS OF K0-ELEMENT EVENTS FROM A (BMAX x K0)-DIMENSIONAL BLOCK OF K0-ELEMENT EVENTS ) OF ALL K0 ELEMENTS) ( HYBRID OF STAT3773 AND STAT3772 ) READS A (BMAX x K0)-DIMENSIONAL BLOCK OF K0-ELEMENT EVENTS FROM STAT3774.INP, SELECTS EITHER 3-ELEMENT SUB-STRINGS OF CONTIGUOUS ELEMENTS OR 2-ELEMENT SUB-STRINGS OF CONTIGUOUS ELEMENTS FROM EACH EVENT OF STAT3774.INP, AND GENERATES K0-ELEMENT EVENTS FROM EITHER BI-PARTITE CONTIGUOUS 3-ELEMENT SUBSTRINGS OF K0-ELEMENT EVENTS OR TRI-PARTITE CONTIGUOUS 2-ELEMENT SUBSTRINGS OF K0-ELEMENT EVENTS FROM STAT3774.INP. MOREOVER, A SEQUENCE OF ELEMENT FREQUENCIES (WEIGHTS) IS READ FROM PERM3774.INP AND THE WEIGHT OF EACH ELEMENT IS LABELED IN STAT3774.OUT. ====================================================================== -- L 3775 -- ( RANKING THE ELEMENTS OF EACH PRE-GENERATED L0-ELEMENT PERMUTATION WHOSE ELEMENTS ARE PRESUMED TO BE LISTED IN DESCENDING OR ASCENDING ORDER OF FREQUENCY OR FUNCTIONAL VALUES , BY UTILIZING AN INDUCED GAUSSIAN OR NORMAL DISTRIBUTION TO RE-ARRANGE THE ELEMENTS IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE IN THE NEXT STAR EVENT ) READS A SEQUENCE OF L0-ELEMENT PERMUTATIONS FROM PERM.INP ON THE ELEMENTS IN < 1, 2, 3, ... , L0 >, WITH ELEMENTS PRESUMED TO BE ARRANGED IN DESCENDING OR ASCENDING ORDER OF FREQUENCY OR FUNCTIONAL VALURES, F(L) , FOR L = 1, 2, 3, ... L0. THE ELEMENTS OF EACH PERMUTATION IN PERM.INP ARE RE-ARRANGED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE IN THE NEXT STAR EVENT AND RECORDED IN PERM.OUT, BASED UPON AN INDUCED GAUSSIAN OR NORMAL DISTRIBUTION. ====================================================================== -- L 3776 -- ( RANKING THE ELEMENTS OF A FIXED L0-ELEMENT PERMUTATION ( AS SUB-PERMUTATIONS OF SELECTD SIZES 12, 18, 24 , OR 30 WITH ELEMENTS LISTED IN DESCENDING ORDER OF FREQUENCIES OR FUNCTIONAL VALUES ), BASED UPON AN INDUCED GAUSSIAN OR NORMAL DISTRIBUTION, RE- ARRANGING THE ELEMENTS OF THE SUB-PERMUTATIONS IN DESCENDING ORDER OF PROBABALITY OF OCCURRENCE IN THE NEXT STAR EVENT ) ( VARIANT OF STAT3775 ) STAT3776 READS A SEQUENCE OF L0-ELEMENT PERMUTATIONS FROM PERM.INP GENERATED VY STAT3770 AS PERM.INP, ON THE ELEMENTS < 1, 2, ... , L0 >, WITH ELEMENTS PRESUMED TO BE ARRANGED IN DESCENDING OR ASCENDING ORDER OF FREQUENCY OR FUNCTIONAL VALURES, F(L) , FOR L = 1, 2, 3, ..., L0. SUB-PERMUTATIONS OF SIZE 12, 18, 24 OR 30 ARE EXTRACTED FROM PERM.INP AND ELEMENTS ARE RE-ARRANGED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE IN THE NEXT STAR EVENT AND RECORDED IN PERM.OUT, BASED UPON AN INDUCED GAUSSIAN OR NORMAL DISTRIBUTION. CF. ALSO STAT3775. ====================================================================== -- L 3777 -- ( EXTRACTING K0-ELEMENT HIGH-PROBABILITY EVENTS FROM EACH PRE-GENERATED L0-ELEMENT PERMUTATION IN PERM.INP, WHOSE ELEMENTS ARE PRESUMED TO BE LISTED IN DESCENDING OR ASCENDING ORDER OF FREQUENCY OR FUNCTIONAL VALUES , BY UTILIZING AN INDUCED GAUSSIAN OR NORMAL DISTRIBUTION TO RE-ARRANGE THE ELEMENTS IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE IN THE NEXT STAR EVENT ) ( VARIANT OF STAT3775 ) READS A SEQUENCE OF L0-ELEMENT PERMUTATIONS FROM PERM.INP ON THE ELEMENTS IN < 1, 2, 3, ... , L0 >, WITH ELEMENTS PRESUMED TO BE ARRANGED IN DESCENDING OR ASCENDING ORDER OF FREQUENCY OR FUNCTIONAL VALUES, F(L) , FOR L = 1, 2, 3, ... L0. PERM.INP IS GENERATED BY STAT3770 OR STAT3120 AS PERM.OUT FOR USAGE IN THIS ROUTINE. HIGH-PROBABILITY K0-ELEMENT EVENTS ARE EXTRACTED FROM EACH PERMUTATION IN PERM.INP, WITH SELECTED SUB-EVENTS RANKED VIA AN INDUCED GAUSSIAN OR NORMAL DISTRIBUTION FOR OCCURRENCE IN THE NEXT STAR EVENT AND RECORDED IN STAT94.INP. THE INPUT FILE PERM.INP IS GENERATED BY STAT3776 AS PERM.OUT FOR USAGE BY STAT3780. ====================================================================== -- L 3778 -- ( EXTRACTING SETS OF THREE 2-ELEMENT SUB-EVENTS FROM EACH PERMUTATION AS K0-ELEMENT EVENTS WITH SELECTED PAIRS OF ELEMENTS BEING QUASI- EQUI-PROBABLE ON THE NEXT TRIAL OVER THE SEQUENCE OF STAR EVENTS ) READS A SEQUENCE OF Q0-ELEMENT PERMS FROM PERM.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM PERM3778.INP ( GENERATED VIA STAT2916, AS PERM.OUT 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. PERME778.INP MAY ACTUALLY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS COMPUTED FOR THE L0 ELEMENTS. CAVEAT: THE PERMUTATION ELEMENTS IN PERM.INP ARE PRESUMED TO BE RANKED IN EITHER DESCENDING ORDER OF WEIGHT, BEFORE EXECUTION TIME. SETS OF 2-ELEMENT SUB-EVENTS HAVING QUASI-EQUI-PROBABILITIES ARE EXTRACTED FROM EACH PERMUTATION IN PERM.INP AS K0-ELEMENT EVENTS AND RECORDED IN STAT94.INP AND STAT3778.OUT FOR FURTHER ANALYSIS. THE WEIGHTS IN PERM.INP MAY ALSO BE GENERATED AS PERM3772.INP BY STAT3770. THE INPUT FILE PERM.INP IS GENERATED BY STAT3776 AS PERM.OUT FOR USAGE BY STAT3780. ====================================================================== -- L 3779 -- ( EXTRACTING SETS OF THREE 2-ELEMENT SUB-EVENTS FROM EACH PERMUTATION AS K0-ELEMENT EVENTS WITH SELECTED PAIRS OF ELEMENTS BEING QUASI- EQUI-PROBABLE ON THE NEXT TRIAL OVER THE SEQUENCE OF STAR EVENTS ) II ( VARIANT OF STAT3778 ) READS A SEQUENCE OF Q0-ELEMENT PERMS FROM PERM.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM PERM3779.INP ( GENERATED VIA STAT2916, AS PERM.OUT 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. PERME778.INP MAY ACTUALLY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS COMPUTED FOR THE L0 ELEMENTS. CAVEAT: THE PERMUTATION ELEMENTS IN PERM.INP ARE PRESUMED TO BE RANKED IN EITHER DESCENDING ORDER OF WEIGHT, BEFORE EXECUTION TIME. SETS OF 2-ELEMENT SUB-EVENTS HAVING QUASI-EQUI-PROBABILITIES ARE EXTRACTED FROM EACH PERMUTATION IN PERM.INP AS K0-ELEMENT EVENTS AND RECORDED IN STAT94.INP AND STAT3779.OUT FOR FURTHER ANALYSIS. THE WEIGHTS IN PERM.INP MAY ALSO BE GENERATED AS PERM3772.INP BY STAT3770. STAT3779 IS A VARIANT OF STAT3778, EXTRACTING A MORE COMPLETE SET OF K0-ELEMENT EVENTS INTO STAT94.INP AND STAT3779.OUT. THE INPUT FILE PERM.INP IS GENERATED BY STAT3776 AS PERM.OUT FOR USAGE BY STAT3780. ====================================================================== -- L 3780 -- ( EXTRACTING SETS OF THREE 2-ELEMENT SUB-EVENTS FROM EACH PERMUTATION AS K0-ELEMENT EVENTS WITH SELECTED PAIRS OF ELEMENTS BEING QUASI- EQUI-PROBABLE ON THE NEXT TRIAL OVER THE SEQUENCE OF STAR EVENTS ) III ( EXTENSION AND VARIANT OF STAT3778 AND STAT3779 ) READS A SEQUENCE OF Q0-ELEMENT PERMS FROM PERM.INP, A SEQUENCE OF L0 WEIGHTS OF ELEMENTS FROM PERM3780.INP ( GENERATED VIA STAT2916, AS PERM.OUT 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. PERME778.INP MAY ACTUALLY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS COMPUTED FOR THE L0 ELEMENTS. CAVEAT: THE PERMUTATION ELEMENTS IN PERM.INP ARE PRESUMED TO BE RANKED IN EITHER DESCENDING ORDER OF WEIGHT, BEFORE EXECUTION TIME. SETS OF 2-ELEMENT SUB-EVENTS HAVING QUASI-EQUI-PROBABILITIES ARE EXTRACTED FROM EACH PERMUTATION IN PERM.INP AS K0-ELEMENT EVENTS AND RECORDED IN STAT94.INP AND STAT3780.OUT FOR FURTHER ANALYSIS. THE WEIGHTS IN PERM.INP MAY ALSO BE GENERATED AS PERM3772.INP BY STAT3770. STAT3780 IS AN EXTENSION AND VARIANT OF STAT3778 AND STAT3779, EXTRACTING A MORE COMPLETE AND MORE HIGHLY-PROBABLE SET OF K0-ELEMENT EVENTS INTO STAT94.INP AND STAT3780.OUT, BASED UPON THE ATTRIBUTES OF A GAUSSIAN OR NORMAL DISTRIBUTION. THE PROCESS ASSURES THAT, FOR EACH EXTRACTED K0-ELEMENT TEST EVENT, K0-2 (FOUR )ELEMENTS ARE IN AN INTERVAL HAVING WEIGHTS (FREQUENCIES) WITHIN ONE STANDARD DEVIATION OF THE MEAN WEIGHT (FREQUENCY) AND THE REMAINING K0-4 (TWO) ELEMENTS ARE IN THE EXTERIOR OF THIS INTERVAL. THE INPUT FILE PERM.INP IS GENERATED BY STAT3776 AS PERM.OUT FOR USAGE BY STAT3780. ====================================================================== -- L 3781 -- RANKS A LARGE NUMBER OF K0-ELEMENT TEST EVENTS IN DESCENDING ORDER OF STAR EVENT INDEX SUCCESSES OF INTERSECTION FREQUENCIES PER EVENT VS. THE LAST JMAX STAR EVENTS OVER A DESIRED RANGE OF MINUMUM AND MAXIMUM NUMBER OF CARDINALITIES ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3781.INP AND RANKS THE K0-ELEMENT TEST EVENTS IN DESCENDING ORDER OF STAR EVENT INDEX SUCCESSES OF INTERSECTION FREQUENCIES PER EVENT VS. THE LAST JMAX STAR EVENTS OVER A DESIRED RANGE OF MINIMUM AND MAXIMUM NUMBER OF CARDINALITIES. THE STAR EVENTS ARE INTERSECTED WITH EACH EVENT OF STAT3781.INP AND THE NUMBER OF COMMON ELEMENTS IS DETERMINED. A MONITOR MATRIX IS GENERATED, DEPICTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3781 IS A VARIANT STAT3269 AND STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. ====================================================================== -- L 3782 -- RANKS A LARGE NUMBER OF Q0-ELEMENT PERMUTATIONS IN DESCENDING ORDER OF STAR EVENT INDEX SUCCESSES OF INTERSECTION FREQUENCIES PER PERMUTATION VS. THE LAST JMAX STAR EVENTS OVER A DESIRED RANGE OF MINUMUM AND MAXIMUM NUMBER OF CARDINALITIES ( PERMUTATION VERSION OF STAT3781 ) READS A LARGE SET OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP AND RANKS THE Q0-ELEMENT PERMUTATIONS IN DESCENDING ORDER OF STAR EVENT INDEX SUCCESSES OF INTERSECTION FREQUENCIES PER PERMUTATION VS. THE LAST JMAX STAR EVENTS OVER A DESIRED RANGE OF MINIMUM AND MAXIMUM NUMBER OF CARDINALITIES. THE STAR EVENTS ARE INTERSECTED WITH EACH PERMUTATION OF PERM.INP AND THE NUMBER OF COMMON ELEMENTS IS DETERMINED. A MONITOR MATRIX IS GENERATED, DEPICTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3782 IS A VARIANT OF STAT3781, ANALYZING PERMUTIONS, RATHER THAN K0-ELEMENT TEST EVENTS. ====================================================================== -- L 3783 -- RANKS ITS [Q0 C K0] GENERATED K0-ELEMENT TEST EVENTS IN DESCENDING ORDER OF STAR EVENT INDEX SUCCESSES OF INTERSECTION FREQUENCIES PER EVENT VS. THE LAST JMAX STAR EVENTS OVER A DESIRED RANGE OF MINUMUM AND MAXIMUM NUMBER OF CARDINALITIES ( VARIANT OF STAT3781 ) READS A FIXED Q0-ELEMENT PERMUTATION FROM PERM.INP, GENERATES ALL [ Q0 C K0 ] K0-ELEMENT SUB-EVENTS FROM IT, AND THEN SUBSEQUENTLY RANKS THE K0-ELEMENT TEST EVENTS IN DESCENDING ORDER OF STAR EVENT INDEX SUCCESSES OF INTERSECTION FREQUENCIES PER EVENT VS. THE LAST JMAX STAR EVENTS OVER A DESIRED RANGE OF MINIMUM AND MAXIMUM NUMBER OF CARDINALITIES. THE STAR EVENTS ARE INTERSECTED WITH EACH EVENT OF STAT3783.INP AND THE NUMBER OF COMMON ELEMENTS IS DETERMINED. A MONITOR MATRIX IS GENERATED, DEPICTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3783 IS A VARIANT STAT3269 AND STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. STAT3783 IS A VARIANT OF STAT3781 BUT GENERATES ALL [ Q0 C K0 ] K0-ELEMENT EVENTS FOR RANKING, RATHER THAN READING THOSE EVENTS FROM A FIXED FILE, AS STAT3781 DOES. ====================================================================== -- L 3784 -- RANKS A LARGE NUMBER OF K0-ELEMENT TEST EVENTS IN ASCENDING ORDER OF THE # OF TRAILING [0]s IN AN UNDERLYING BINARY OCCURRENCE STRING PER EVENT VS. THE LAST JMAX STAR EVENTS OVER A DESIRED MAXIMUM NUMBER OF CARDINALITIES OF [0]s II ( VARIANT OF STAT3785 ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3784.INP AND AN L0-ELEMENT PERMUTATION OF CARDINALITIES OF TRAILING [0]s, PRE-GENERATED BY STAT3246 A PERM3784.INP AND, SUBSEQUENTLY, RANKS THE K0-ELEMENT TEST EVENTS IN ASCENDING ORDER OF TOTAL # OF TRAILING [0]s, WHEN INTERSECTED WITH THE LAST JMAX STAR EVENTS RESIDING IN BASE.INP, FOR A DESIRED MAXIMUM CUMULATIVE NUMBER OF TRAILING [0]s, UTILIZING PATTERNS OF MATCHES VS. THE SEQUENCE OF STAR EVENTS IN BASE.INP. STAT3784 IS A VARIANT OF STAT3875. ====================================================================== -- L 3785 -- III ( VARIANT OF STAT3784 ) READS AN L0-ELEMENT PERMUTATION IN PERM.INP, ON ELEMENTS IN < 1,2, ... , L0 >, PRE-GENERATED VIA STAT3246 AS PERM.OUT, AND READS AN L0-ELEMENT PERMUTATION OF CARDINALITIES OF TRAILING [0]s, PRE-GENERATED BY STAT3246 AS PERM3785.INP AND, SUBSEQUENTLY, RANKS THE K0-ELEMENT TEST EVENTS IN ASCENDING ORDER OF TOTAL # OF TRAILING [0]s, WHEN INTERSECTED WITH THE LAST JMAX STAR EVENTS RESIDING IN BASE.INP, FOR A DESIRED MAXIMUM CUMULATIVE NUMBER OF TRAILING [0]s, UTILIZING PATTERNS OF MATCHES VS. THE SEQUENCE OF STAR EVENTS IN BASE.INP. STAT3785 IS A VARIANT OF STAT3874. HOWEVER, K0-ELEMENT TEST EVENTS ARE GENERATED FROM PERM.INP, RATHER THAN BEING READ FROM AN INPUT FILE LIKE STAT3784.INP. ====================================================================== -- L 3786 -- RANKS A LARGE NUMBER OF K0-ELEMENT TEST EVENTS IN DESCENDING ORDER OF THE SUM OF THE GAUSSIAN PARAMETERS OVER THE K0 ELEMENTS PER EVENT IV ( VARIANT OF STAT3784 ) READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3786.INP AND AN L0-ELEMENT PERMUTATION OF GAUSSIAN-RANK PARAMETERS FROM PERM.INP, PRE-GENERATED BY STAT3490 AS PERM.OUT AND, SUBSEQUENTLY, RANKS THE K0-ELEMENT TEST EVENTS IN DESCENDING ORDER OF K0-ELEMENT GAUSSIAN PARAMETER SUMS PER K0-ELEMENT TEST EVENT IN STAT3786.INP. STAT3786 IS A VARIANT OF STAT3784 AND STAT3787. ====================================================================== -- L 3787 -- RANKS A LARGE NUMBER OF K0-ELEMENT TEST EVENTS IN DESCENDING ORDER OF THE SUM OF THE GAUSSIAN PARAMETERS OVER THE K0 ELEMENTS PER EVENT V ( VARIANT OF STAT3784 AND STAT3786 ) READS AN L0-ELEMENT PERMUTATION FROM PERM2.INP ON < 1,2, ... , L0>, GENERATED BY STAT3246 AS PERM.OUT, AND AN L0-ELEMENT PERMUTATION ON < F(L) >, L = 1, 2, 3, ... , L0> OF GAUSSIAN-RANK PARAMETERS FROM PERM.INP, PRE-GENERATED BY STAT3490 AS PERM.OUT AND, RANKS THE K0-ELEMENT TEST EVENTS IN DESCENDING ORDER OF K0-ELEMENT GAUSSIAN PARAMETER SUMS PER K0-ELEMENT TEST EVENT GENERATED BY DETERMINING ALL [ L0 C K0 ] K0-ELEMENT COMBINATIONS FROM PERM2.INP, STAT3786 IS A VARIANT OF STAT3785 AND STAT3786. HOWEVER, A COMPLETE SET OF K0-ELEMENT TEST EVENTS ARE GENERATED FROM PERM2.INP, RATHER THAN BEING READ FROM A FILE SUCH AS STAT3786.INP. ====================================================================== -- L 3788 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS X ( CASE: K0 = 6 ) ( VARIANT OF STAT3269 AND STAT3789 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3788 RANKS K0-ELEMENT EVENTS IN DESCENDING ORDER OF < YDEL(E) = Y1(E) - Y0(E) > , WHERE Y1 IS THE PROBABILITY THAT EVENT E IS [*]-QUALIFIED ON THE NEXT TRIAL VS. THE NEXT STAR EVENT AND Y0(E) IS THE PROBABILITY THAT EVENT E IS NOT [*]-QUALIFIED VS. THE NEXT STAR EVENT, BASEED UPON BINARY OR <0,1> SEQUENCES GENERATED IN REAL-TIME BY THE ROUTINE. THIS PROCESS UTILIZES A GEOMETRIC PROBABILITY DISTRIBUTION. RANKED EVENTS ARE RECORDED IN STAT94.INP FOR COMPLEMENTARY APPLICATIONS. THE ROUTINE READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS IN THE SET T = < 1, 2, ... , L0 > , DETERMINES (0,1) - OCCURRENCE SEQUENCES. STAT3788 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 6 ] 6-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3788 ALSO READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE L0 ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH K0-ELEMENT EVENT INTERSECTED VS. THE STAR EVENTS, GENERATES A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3788 IS A VARIANT STAT3269, STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3788 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY 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 STAT3788 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. STAT3788 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3788.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3788 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 STAT3788 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3788, 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. CF. STAT3320 FOR A PERMUTAION VERSION. CF. STAT3789 FOR THE SPECIAL CASE OF K0 = 5. ====================================================================== -- L 3789 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 5-ELEMENT EVENTS XX ( CASE: K0 = 5 ) ( VARIANT OF STAT3269 AND STAT3788 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3789 RANKS K0-ELEMENT EVENTS IN DESCENDING ORDER OF < YDEL(E) = Y1(E) - Y0(E) > , WHERE Y1 IS THE PROBABILITY THAT EVENT E IS [*]-QUALIFIED ON THE NEXT TRIAL VS. THE NEXT STAR EVENT AND Y0(E) IS THE PROBABILITY THAT EVENT E IS NOT [*]-QUALIFIED VS. THE NEXT STAR EVENT, BASEED UPON BINARY OR <0,1> SEQUENCES GENERATED IN REAL-TIME BY THE ROUTINE. THIS PROCESS UTILIZES A GEOMETRIC PROBABILITY DISTRIBUTION. RANKED EVENTS ARE RECORDED IN STAT94.INP FOR COMPLEMENTARY APPLICATIONS. THE ROUTINE READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS IN THE SET T = < 1, 2, ... , L0 > , DETERMINES (0,1) - OCCURRENCE SEQUENCES. STAT3789 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 5 ] 5-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3789 ALSO READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE L0 ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH K0-ELEMENT EVENT INTERSECTED VS. THE STAR EVENTS, GENERATES A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3789 IS A VARIANT STAT3269, STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3789 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY 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 STAT3789 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. STAT3789 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3789.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3789 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 STAT3789 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3789, 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. CF. STAT3320 FOR A PERMUTAION VERSION. CF. STAT3788 FOR THE SPECIAL CASE OF K0 = 6. ====================================================================== -- L 3790 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS XII ( HYBRID OF STAT3269 AND STAT3788 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3790 READS A LARGE SEQUENCE OF RANDOM K0-ELEMENT TEST EVENTS FROM STAT3790.INP FOR INTERSECTION WITH STAR EVENTS READ FROM BASE.INP. STAT3790 THEN DETERMINES THE NUMBER OF COMMON ELEMENTS INTERSECTED VS. THE STAR EVENTS, GENERATING A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3790 IS AN HYBRID OF STAT3269 AND STAT3247, ANALYZING EVENTS, RATHER THAN PERMUTATIONS. MOREOVER, STAT3790 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO 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 STAT3790 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. STAT3790 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3790.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3790 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 STAT3790 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3790, 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. CF. STAT3320 FOR A PERMUTAION VERSION. ====================================================================== -- L 3791 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS XV ( CASE: K0 = 6 ) ( VARIANT OF STAT3788 ) ( UTILIZING PROBABILITY WEIGHTS OF ELEMENTS IN WT(L).INP GENERATED VIA STAT3246 AS WT(L).OUT, FOR L = 1, 2, ... , L0 , OR GENERATED VIA STAT3490 AS WT(L).OUT, FOR L = 1, 2, ... , L0 ) STAT3791 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 6 ] 6-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3791 THEN READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE L0 ELEMENTS. THOSE K0-ELEMENT EVENTS SATISFYING A DESIRED MINIMUM SCALED, AGGREGATE PROBABILITY THRESHOLD ARE FILTERED FROM THE COMPLETE SET AND RANKED IN DESCENDING ORDER OF SCALED PROBABILITIES AND RECORDED IN STAT94.INP. CF. STAT3789 FOR THE SPECIAL CASE OF K0 = 5. ====================================================================== -- L 3792 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 5-ELEMENT EVENTS XVI ( CASE: K0 = 5 ) ( VARIANT OF STAT3791 ) ( UTILIZING PROBABILITY WEIGHTS OF ELEMENTS IN WT(L).INP GENERATED VIA STAT3246 AS WT(L).OUT, FOR L = 1, 2, ... , L0 , OR GENERATED VIA STAT3490 AS WT(L).OUT, FOR L = 1, 2, ... , L0 ) STAT3792 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 5 ] 5-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3792 THEN READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 5-ELEMENT EVENTS OVER THE L0 ELEMENTS. THOSE K0-ELEMENT EVENTS SATISFYING A DESIRED MINIMUM SCALED, AGGREGATE PROBABILITY THRESHOLD ARE FILTERED FROM THE COMPLETE SET AND RANKED IN DESCENDING ORDER OF SCALED PROBABILITIES AND RECORDED IN STAT94.INP. CF. STAT3791 FOR THE SPECIAL CASE OF K0 = 6. ====================================================================== -- L 3793 -- MONITOR MATRIX GENERATED FROM A LARGE K0-ELEMENT SEQUENCE OF EVENTS AND RANKING THEM IN DESCENDING ORDER OF SCALED PROBABILITIES XVIII ( VARIANT OF STAT3791 AND STAT3792 ) ( UTILIZING PROBABILITY WEIGHTS OF ELEMENTS IN WT(L).INP GENERATED VIA STAT3246 AS WT(L).OUT, FOR L = 1, 2, ... , L0 ) OR GENERATED VIA STAT3490 AS WT(L).OUT, FOR L = 1, 2, ... , L0 ) STAT3793 READS A LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3793.INP ( PRE-GENERATED, E.G., BY STAT3790 AS STAT94.INP ), AND READS A SEQUENCE OF L0 PROBABILITY WEIGHTS OF ELEMENTS OF < 1, 2, ... , L0 > IN WT(L).INP (PRE-GENERATED BY STAT3246 AS ) OR IN WT(L).INP (PRE-GENERATED BY STAT3490 AS ). A SET OF K0-ELEMENT EVENTS SATISFYING A DESIRED MINIMUM SCALED, AGGREGATE PROBABILITY THRESHOLD IS FILTERED FROM THE COMPLETE SET, RANKED IN DESCENDING ORDER OF SCALED PROBABILITIES, AND RECORDED IN STAT94.INP. STAT3793.INP MAY BE GENERATED FROM ANY OTHER SELECTED SOURCE. ====================================================================== -- L 3794 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS XX ( CASE: K0 = 6 ) ( VARIANT OF STAT3788 AND STAT3789 ) ( GENERATED EVENTS ARE PAIRWISE-DISJOINT OR MUTUALLY EXCLUSIVE ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3794 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 6 ] 6-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3794 THEN READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE L0 ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH K0-ELEMENT EVENT INTERSECTED VS. THE STAR EVENTS, GENERATES A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3794 IS A VARIANT STAT3269, STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3794 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY 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 STAT3794 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. STAT3794 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3794.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3794 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 STAT3794 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3794, 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. CF. STAT3320 FOR A PERMUTAION VERSION. STAT3794 IS A SPECIAL VERSION OF STAT3788, BUT RESTRICTS GENERATED K0-ELEMENT EVENTS TO BEING PAIR-WISE DISJOINT OR MUTUALLY EXCLUSIVE. CF. STAT3789 FOR THE SPECIAL CASE OF K0 = 5. ====================================================================== -- L 3795 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS XXII ( CASE: K0 = 5 ) ( VARIANT OF STAT3788 AND STAT3794 ) ( GENERATED EVENTS ARE PAIRWISE-DISJOINT OR MUTUALLY EXCLUSIVE ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3795 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 6 ] 6-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3795 THEN READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE L0 ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH K0-ELEMENT EVENT INTERSECTED VS. THE STAR EVENTS, GENERATES A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3795 IS A VARIANT STAT3269, STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3795 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY 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 STAT3795 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. STAT3795 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3795.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3795 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 STAT3795 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3795, 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. CF. STAT3320 FOR A PERMUTAION VERSION. STAT3795 IS A SPECIAL VERSION OF STAT3789, BUT RESTRICTS GENERATED K0-ELEMENT EVENTS TO BEING PAIR-WISE DISJOINT OR MUTUALLY EXCLUSIVE. CF. STAT3794 FOR THE SPECIAL CASE OF K0 = 6. ====================================================================== -- L 3796 -- ( GENRATING AND RECORDING THE MEAN K0-ELEMENT EVENT AND THE MEAN 12-ELEMENT PERMUTATION FROM EACH L0-ELEMENT PERMUTATION IN A SELECTED SEQUENCE, ALONG WITH SIX RELATED HIGH-PROBABILITY OUTPUT TEST EVENTS AND PERMUTATIONS PER INPUT PERMUTATION ) STAT 3796 READS A SEQUENCE OF PMAX PERMUTATIONS ON L0 ELEMENTS IN PERM.INP AND RECORDS IN STAT3796.OUT AND PERM.OUT, RESPECTIVELY, THE MEAN K0-ELEMENT EVENT AND THE MEAN 12-ELEMENT PERMUTATION. ELEMENTS IN EACH PERMUTATION OF PERM.INP ARE PRESUMED TO BE LISTED IN EITHER DESCENDING OR ASCENDING ORDER OF FUNCTIONAL VALUES , FOR L = 1, 2, ... , L0. PERM.INP MAY BE GENERATED BY STAT3246 AS PERM.OUT FOR USAGE IN STAT3796. BASED UPON AN INDUCED OR UNDERLYING GAUSSIAN OR NORMAL DISTRIBUTION, THE EVENTS RECORDED IN STAT3796.OUT AND PERM.OUT ARE THE MOST PROBABLE EVENTS SINCE THE ELEMENTS IN PERM.INP ARE PRESUMED TO BE IN LEXICOGRAPHIC ORDER. SIX RELATED HIGH-PROBABILITY TEST EVENTS AND PERMUTATIONS ARE ALSO RECORDED IN STAT3796.OUT AND PERM.OUT, RESPECTIVELY. ====================================================================== -- L 3797 -- ( FILTERING THE TOP M0, THE MIDDLE (K*M0+1), FOR K = 2 OR 4 , AND THE BOTTOM M0 RANKED EVENTS FROM A SEQUENCE OF BMAX K0-ELEMENT EVENTS PRESUMED TO BE RANKED IN EITHER DESCENDING OR ASCENDING ORDER OF SOME PREDETERMINED FUNCTIONAL VALUE ) [ M0 ====> 4 * M0 + 1 ] MODEL 1 [ M0 ====> 6 * M0 + 1 ] MODEL 2 STAT3797 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM FROM STAT3797.INP, PRESUMED TO BE RANKED IN EITHER DESCENDING OR ASCENDING ORDER OF SOME SELECTED FUNCTIONAL VALUE, GENERATED, E.G., BY STAT3788 OR STAT3790 AS STAT94.INP. THE ROUTINE THEN FILTERS THE TOP M0 , THE MIDDLE ( K*M0+1 ) , FOR K = 2 OR 4, AND THE BOTTOM M0 TEST EVENTS FROM STAT3797.INP, RECORDING THEM IN STAT94.INP FOR FURTHER ANALYSIS, VIA SELECTED MODEL 1 OR MODEL 2. ====================================================================== -- L 3798 -- ( VARIANT OF STAT164 ) STAT3798 READS, ANALYZES, AND SORTS A SEQUENCE OF FUNCTIONAL VALUES (e.g., FREQUENCIES. OF ELEMENTS , L = 1 , ... , L0 , FROM STAT3798.INP, DETERMINES THE MEAN, MEDIAN, MODE, VARIANCE, STANDARD DEVIATION, MEAN DEVIATION, PEARSONIAN COEFFICIENT OF SKEWEDNESS, AND ANALYZES THE UNDERLYING OR INDUCED INPUT DISTRIBUTION WITH RESPECT TO INTERVALS CONTAINING SPECIFIED PERCENTAGES OF THE VALUES, ACCORDING TO CHEBYSHEV'S THEOREM, DETERMINES AND PRINTS TABLES OF FREQUENCIES AND RELATIVE FREQUENCIES FOR EACH MEASUREMENT, AND COMPUTES A PROBABILITY DISTRIBUTION FOR THE RANDOM VARIABLE BEING ANALYZED. STAT3798 IS A VARIANT OF STAT164, BUT READS INPUT REAL VALUES OF THE SAMPLE POINTS OR REAL FUNCTIONAL VALUES FROM PERM.INP, GENERATED VIA STAT3246 AS PERM.INP, RATHER THAN PROMPTING THE ANALYST FOR THOSE VALUES IN REAL TIME. A SEQUENCE OF [*]-QUALIFYING ELEMENTS FROM PERM.INP AND STAT3798.OUT IS GENERATED AND RECORDED IN PERM.OUT. ====================================================================== -- L 3799 -- ( COMPARING A ( K0 x ENUM(I) )-DIMENSIONAL BLOCK OF PERMUTATIONS WITH A (BMAX x K0 )-DIMENSIONAL BLOCK OF TEST EVENTS AND RANKING ELEMENTS IN EACH SEPARATE COLUMN OF THE ( BMAX x K0 )-DIMENSIONAL IN DESCENDING ORDER OF SOME PRESCRIBED FUNCTIONAL VALUE ) STAT3799 READS A ( K0 x ENUM(I) )-DIMENSIONAL BLOCK OF PERMUTATIONS FROM PERM.INP AND A ( BMAX x K0 )-DIMENSIONAL BLOCK OF TEST EVENTS FROM STAT3799.INP, COMPARES THE BLOCK OF PERMUTATIONS VS. THE BLOCK OF K0-ELEMENT EVENTS, AND RANKS ELEMENTS IN EACH SEPARATE COLUMN OF THE ( BMAX x K0 )-DIMENSIONAL IN DESCENDING ORDER OF SOME PRESCRIBED FUNCTIONAL VALUE, AND RECORDED IN PERM.OUT OF STAT3799. THE ELEMENTS OF EACH ROW OF PERMUTATIONS IN PERM.INP, GENERATED VIA STAT3250 AS PERM.OUT, ARE PRESUMED TO BE RANKED IN DESCENDING ORDER OF THE PRESCRIBED FUNCTIONAL VALUE. STAT3788 AND STAT3789 MAY BE UTILIZED TO GENERATE STAT3799.INP AS STAT94.INP STAT3250 MAY BE UTILIZED TO GENERATE PERM.INP AS PERM.INP IN STAT3250. CF. STAT3250, STAT3788, AND STAT3789. CF. ALSO STAT3797. ====================================================================== -- L 3800 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS X ( CASE: K0 = 6 ) ( HYBRID OF STAT3288, STAT3788, AND STAT3789 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) ( 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 A DESIRED SEQUENCE OF FUNCTIONAL VALUES. ELEMENTS DETERMINED OVER EACH ONE OF K0 SEPARATE COLUMNS. GENERATES A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE K0 ROWS, DETERMINES THE NUMBER OF ELEMENTS IN EACH K0-ELEMENT EVENT INTERSECTED VS. THE STAR EVENTS, GENERATES A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3800 IS A VARIANT STAT3288, STAT3788 AND STAT3789, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3800 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY 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 STAT3800 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. STAT3800 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3800.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3800 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 STAT3800 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3800, 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. CF. STAT3320 FOR A PERMUTAION VERSION. CF. STAT3789 FOR THE SPECIAL CASE OF K0 = 5. THE INPUT FILE PERM.INP MAY BE GENERATED VIA STAT3250 AS PERM.OUT. ====================================================================== -- L 3801 -- ( GENERATING K0-ELEMENT HIGH-PROBABILITY EVENTS FROM A FIXED SEQUENCE OF K0-ELEMENT EVENTS UTILIZING TRANSPOSITONS AND TRANSLATIONS OF TENS AND UNITS DIGITS OF ELEMENTS FROM SELECTED COLUMNS WHILE KEEPING ELEMENTS IN THE REMAINING COLUMNS PER EVENT FIXED ) ( VARIANT OF STAT3802 ) STAT3801 READS A FIXED SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3801.INP AND READS A SEQUENCE OF SELECTED OR PRE-DETERMINED COLUMN PAIRS [ M1,M2 ] IN REAL-TIME FOR WHICH THE TENS AND UNITS DIGITS OF THE CORRESPONDING ELEMENTS WILL BE TRANSPOSED AND TRANSLATED AS DICTATED BY THE VALUES OF ALL TENS AND UNITS DIGITS. RESULTING K0-ELEMENT EVENTS ARE RECORDED IN STAT3801.OUT. STAT3801 IS A VARIANT OF STAT3801, WHERE NO VECTORS [ M1,M2 ] ARE READ FROM AN INPUT FILE FOR COLUMN SELECTION AND ELEMENTS ARE GENERATED FROM STAT3801.INP AUTOMATICALLY. THE FILE STAT3801.INP MAY BE GENERATED VIA STAT3800 AS STAT94.INP. A CUMULATIVE FILE OF VECTORS [ M1,M2 ] IS RECORDED IN CUMULAT.OUT. ====================================================================== -- L 3802 -- ( GENERATING K0-ELEMENT HIGH-PROBABILITY EVENTS AND A Q0-ELEMENT PERMUTATION FROM A FIXED SEQUENCE OF K0-ELEMENT EVENTS BY UTILIZING TRANSPOSITONS AND TRANSLATIONS OF THE TENS AND UNITS DIGITS OF ELEMENTS FROM SELECTED COLUMNS ) ( VARIANT OF STAT3801 ) STAT3802 READS A FIXED SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3802.INP FROM WHICH THE UNITS AND TENS DIGITS OF SELECTED ELEMENT PAIRS WILL BE TRANSPOSED AND TRANSLATED AS DICTATED BY THE VALUES OF ALL TENS AND UNITS DIGITS. THE RESULTING K0-ELEMENT EVENTS ARE RECORDED IN STAT3802.OUT. STAT3802 IS A VARIANT OF OF STAT3801, WHERE VECTORS [ M1,M2 ] ARE READ FROM AN INPUT FILE. THE FILE STAT3802.INP MAY BE GENERATED VIA STAT3800 AS STAT94.INP. STAT3802 TRANSPOSES AND TRANSLATES DIGITS OF ELEMENTS TO GENERATE THE K0-ELEMENT EVENTS IN STAT3802.OUT, AS WELL AS, A Q0-ELEMENT PERMUTATION IN PERM.OUT, WHICH MAY BE WHEELED IN STAT28 AS PERM.INP OR UTILIZED AS PERM.INP IN STAT3788. ====================================================================== -- L 3803 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS ( MOD 200 ) X ( CASE: K0 = 6 ) ( VARIANT OF STAT3788 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3803 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 6 ] 6-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3803 THEN READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE L0 ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH K0-ELEMENT EVENT INTERSECTED VS. THE STAR EVENTS, GENERATES A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3803 IS A VARIANT STAT3269, STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3803 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY 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 STAT3803 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. STAT3803 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3803.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3803 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 STAT3803 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3803, 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. CF. STAT3320 FOR A PERMUTAION VERSION. CF. STAT3789 FOR THE SPECIAL CASE OF K0 = 5. ====================================================================== -- L 3804 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS ( MOD 250 ) X ( CASE: K0 = 6 ) ( VARIANT OF STAT3788 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3804 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 6 ] 6-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3804 THEN READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE L0 ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH K0-ELEMENT EVENT INTERSECTED VS. THE STAR EVENTS, GENERATES A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3804 IS A VARIANT STAT3269, STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3804 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY 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 STAT3804 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. STAT3804 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3804.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3804 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 STAT3804 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3804, 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. CF. STAT3320 FOR A PERMUTAION VERSION. CF. STAT3789 FOR THE SPECIAL CASE OF K0 = 5. ====================================================================== -- L 3805 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS ( MOD 500 ) X ( CASE: K0 = 6 ) ( VARIANT OF STAT3788 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3805 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 6 ] 6-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3805 THEN READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE L0 ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH K0-ELEMENT EVENT INTERSECTED VS. THE STAR EVENTS, GENERATES A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3805 IS A VARIANT STAT3269, STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3805 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY 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 STAT3805 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. STAT3805 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3803.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3805 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 STAT3805 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3805, 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. CF. STAT3320 FOR A PERMUTAION VERSION. CF. STAT3789 FOR THE SPECIAL CASE OF K0 = 5. ====================================================================== -- L 3806 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS ( MOD 1000 ) X ( CASE: K0 = 6 ) ( VARIANT OF STAT3788 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3806 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 6 ] 6-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3806 THEN READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE L0 ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH K0-ELEMENT EVENT INTERSECTED VS. THE STAR EVENTS, GENERATES A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3806 IS A VARIANT STAT3269, STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3806 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY 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 STAT3806 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. STAT3806 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3803.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3806 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 STAT3806 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3806, 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. CF. STAT3320 FOR A PERMUTAION VERSION. CF. STAT3789 FOR THE SPECIAL CASE OF K0 = 5. ====================================================================== -- L 3807 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS ( MOD 2000 ) X ( CASE: K0 = 6 ) ( VARIANT OF STAT3788 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3807 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 6 ] 6-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3807 THEN READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE L0 ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH K0-ELEMENT EVENT INTERSECTED VS. THE STAR EVENTS, GENERATES A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3807 IS A VARIANT STAT3269, STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3807 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY 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 STAT3807 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. STAT3807 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3803.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3807 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 STAT3807 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3807, 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. CF. STAT3320 FOR A PERMUTAION VERSION. CF. STAT3789 FOR THE SPECIAL CASE OF K0 = 5. ====================================================================== -- L 3808 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS ( MOD 3000 ) X ( CASE: K0 = 6 ) ( VARIANT OF STAT3788 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3808 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 6 ] 6-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3808 THEN READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE L0 ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH K0-ELEMENT EVENT INTERSECTED VS. THE STAR EVENTS, GENERATES A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3808 IS A VARIANT STAT3269, STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3808 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY 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 STAT3808 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. STAT3808 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3803.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3808 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 STAT3808 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3808, 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. CF. STAT3320 FOR A PERMUTAION VERSION. CF. STAT3789 FOR THE SPECIAL CASE OF K0 = 5. ====================================================================== -- L 3809 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS ( MOD 4000 ) X ( CASE: K0 = 6 ) ( VARIANT OF STAT3788 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3809 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 6 ] 6-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3809 THEN READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 6-ELEMENT EVENTS OVER THE L0 ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH K0-ELEMENT EVENT INTERSECTED VS. THE STAR EVENTS, GENERATES A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3809 IS A VARIANT STAT3269, STAT2343 AND STAT3247, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3809 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY 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 STAT3809 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. STAT3809 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3803.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3809 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 STAT3809 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3809, 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. CF. STAT3320 FOR A PERMUTAION VERSION. CF. STAT3789 FOR THE SPECIAL CASE OF K0 = 5. ====================================================================== -- L 3810 -- ( GENERATING K0-ELEMENT HIGH-PROBABILITY EVENTS FROM A (BMAX x K0)- DIMENSIONAL BLOCK OF EVENTS FROM SELECTED ROWS AND SELECTED COLUMNS AND SUB-COLUMNS ) STAT3810 READS A ( BMAX x K0 ) - DIMENSIONAL BLOCK OF K0-ELEMENT TEST EVENTS FROM STAT3810.INP FROM WHICH K0-ELEMENT HIGH-PROBABILITY EVENTS ARE CONSTRUCTED AND RECORDED IN STAT3810.OUT. STAT3810.INP MAY BE GENERATED VIA STAT3788, STAT3789, STAT3803, STAT3804, STAT3805, STAT3806, STAT3807, STAT3808, STAT3809, ET AL. ====================================================================== -- L 3811 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 3-ELEMENT EVENTS ( CASE: K0 = 3 ) ( VARIANT OF STAT3269 AND STAT3789 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3811 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 3 ] 3-ELEMENT TEST EVENTS IS GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3811 THEN READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 3-ELEMENT EVENTS OVER THE L0 ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH 3-ELEMENT EVENT INTERSECTED VS. THE STAR EVENTS, GENERATES A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3811 IS A VARIANT STAT3269, STAT2343 AND STAT3788, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3811 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY 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 STAT3811 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. STAT3811 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3811.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3811 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 STAT3811 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3811, 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. CF. STAT3320 FOR A PERMUTAION VERSION. CF. STAT3789 FOR THE SPECIAL CASE OF K0 = 5. ====================================================================== -- L 3812 -- MONITOR MATRIX GENERATED FROM AN L0-ELEMENT PERMUTATION FOR DETERMINING FREQUENCY COUNTS OF ELEMENTS IN A LARGE SEQUENCE OF 2-ELEMENT EVENTS ( CASE: K0 = 2 ) ( VARIANT OF STAT3811, STAT3269 AND STAT3789 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3812 READS AN L0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246 AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 2 ] 2-ELEMENT TEST EVENTS IS GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3812 THEN READS A SEQUENCE OF UP TO 200 STAR EVENTS IN BASE.INP AND AN L0 -ELEMENT PERMUTATION ON THE ELEMENTS < 1,2, ... , L0> IN PERM.INP, GENERATES A COMPLETE SET OF 2-ELEMENT EVENTS OVER THE L0 ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH 2-ELEMENT EVENT INTERSECTED VS. THE STAR EVENTS, GENERATES A MONITOR MATRIX WITH PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3812 IS A VARIANT STAT3269, STAT2343 AND STAT3788, ANALYZING EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. HOWEVER, STAT3812 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY 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 STAT3812 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. STAT3812 READS SUB-BLOCKS OF BMAX INPUT TEST EVTS FR. STAT3812.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING 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. STAT3812 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 STAT3812 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3812, 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. CF. STAT3320 FOR A PERMUTAION VERSION. CF. STAT3789 FOR THE SPECIAL CASE OF K0 = 5. ====================================================================== -- L 3813 -- ( GENERATING K0-ELEMENT HIGH-PROBABILITY EVENTS FROM A (BMAX x 3)- DIMENSIONAL BLOCK OF EVENTS, REPRESENTING THE MOST HIGHLY PROBABLE TRIADS OF ELEMENTS TO OCCUR ON THE NEXT TRIAL FROM EACH COLUMN OF STAR EVENTS ) STAT3813 READS A ( BMAX x 3 ) - DIMENSIONAL BLOCK OF 3-ELEMENT TEST EVENTS FROM STAT3813.INP, REPEESENTING THE MOST HIGHLY PROBABLE TRIADS OF ELEMENTS TO OCCUR ON THE NEXT TRIAL FROM EACH COLUMN OF STAR EVENTS IN BASE.INP. K0-ELEMENT EVENTS ARE GENERATED FROM EVERY PAIR OF 3-ELEMENT TRIADS FROM STAT3813.INP. THE TRIADS IN STAT3813.INP MAY BE GENERATED AS STAT94.INP VIA STAT3250, STAT3811 AND STAT3723, IN PARALLEL. STAT3813.INP MAY BE ALSO BE GENERATED VIA STAT3250 AS STAT3813.INP. ====================================================================== -- L 3814 -- GENERATING A Q0-ELEMENT HIGH-PROBABILITY PERMUTATION FROM A SET OF 3 L0-ELEMENT PERMUTATIONS HAVING ELEMENTS LISTED IN DESCENDING ORDER OF DIFFERENT FUNCTIONAL VALUES, STAT3814 READS 3 L0-ELEMENT PERMUTATIONS FROM PERM.INP HAVING ELEMENTS LISTED IN DESCENDING ORDER OF DIFFERENT FUNCTIONAL VALUES, . A Q0-ELEMENT HIGH-PROBABILITY PERMUTATION IS GENERATED INTO PERM.OUT BY TACITLY SELECTING ELEMENTS FROM EACH PERMUTATION OF PERM.INP, VIA A PRESCRIBED, REAL-TIME ALGORITHM WITHIN STAT3814.FOR. PERM.INP MAY BE GENERATED VIA STAT3246 AS PERM.OUT. ====================================================================== -- L 3815 -- FILTERING A DESIRED NUMBER OF K0-ELEMENT TEST EVENTS FROM ALL [ Q0 C K0 ] K0-ELEMENT EVENTS GENERATED FROM A Q0-ELEMENT PERMUTATION STAT3815 READS A SEQUENCE OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP ON ELEMENTS IN < 1,2,3, ... , L0 > , PRE-GENERATED BY STAT3814 AS PERM.OUT, FROM WHICH A SELECTED SET OF KMAX K0-ELEMENT TEST EVENTS ARE FILTERED FROM ALL POSSIBLE [ Q0 C K0 ] K0-ELEMENT EVENTS. THE FILTERED TEST EVENTS ARE RECORDED IN STAT94.INP. ====================================================================== -- L 3816 -- ( GENERATING K0-ELEMENT EVENTS FROM A ( 3 x K0 ) - DIMENSIONAL MATRIX OF ELEMENTS BY TACITLY SELECTING PAIRS OF ELEMENTS FROM SELECTED TRIADS OF COLUMNS ) STAT3816 READS A ( 3 x K0 ) - DIMENSIONAL MATRIX OF ELEMENTS FROM STAT3816.INP, CREATED VIA STAT3815 AS STAT94.INP, E.G. , AND GENERATES A SEQUENCE OF HIGH-PROBABILITY K0-ELEMENT EVENTS BY TACITLY SELECTING PAIRS OF ELEMENTS FROM SELECTED TRIADS OF COLUMNS. THE GENERATED TEST EVENTS ARE RECORDED IN STAT94.INP. ====================================================================== -- L 3817 -- PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ( CASE: K0 = 5 ) ( PERMUTATION VARIANT OF STAT3818 AND STAT1631 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3817 READS A Q0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246, E.G., AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 5 ] 5-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3811 THEN READS A SEQUENCE OF UP TO 400 K0-ELEMENT STAR EVENTS IN BASE.INP. EACH SET OF K0-ELEMENT EVENTS IS TACITLY INTERSECTED WITH EVERY 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. STAT3817 FILTERS TEST EVENTS FROM STAT3817.INP INTO STAT3817.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3817.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TDELTA LIES IN [ TDELTA1,TDELTA2 ] , THE EXPECTED NUMBER OF STAR INDICES OVER WHICH A [*]-QUALIFYING TEST EVENT SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED AND TDELTA IS PRE-DEFINED AS: TDELTA = [ IMAX + 1 ] - H(II) - KCT. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3817 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3817.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 STAT3817 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3817 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 STAT3817. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. CF. STAT2758. EVENTS IN STAT94.INP ARE RANKED IN DESCENDING ORDER OF TDELTA = IMAX+1-H(II). STAT3817 IS A VARIANT OF STAT3417, AND STAT1618, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION. STAT3817 GENERATES THE CRITICAL FILE STAT3525.INP. CF. STAT3525.BAT. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT FOR FURTHER ANALYSIS. STAT3817 IS A VARIANT OF STAT3553. CF. STAT3553. AN UP-DATED JUST-IN-TIME FILE OF HIGHLY LIKELY K0-ELEMENT TEST EVENTS (PROJECTED FOR WEEKS, MONTHS, OR YEARS INTO THE FUTURE) WITH SUGGESTED INTIAL DATES OF EVENT SUBMISSION, IS SAVED AND RECORDED INTO JIT.TXT FOR ONGOING ACCESS AND APPLICATION. WHERE LDELTA = MDELTA - (IMAX+1) AND MDELTA = H(II) + S(LMAX). ====================================================================== -- L 3818 -- PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ( CASE: K0 = 6 ) ( PERMUTATION VARIANT OF STAT1631 AND STAT1618 ) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3818 READS A Q0-ELEMENT PERMUTATION ON < 1,2,3, ... , L0 > FROM PERM.INP, PRE-GENERATED BY STAT3246, E.G., AS PERM.OUT,FROM WHICH A COMPLETE SET OF [ L0 C 6 ] 6-ELEMENT TEST EVENTS ARE GENERATED (FOR INTERSECTION WITH STAR EVENTS). STAT3811 THEN READS A SEQUENCE OF UP TO 400 K0-ELEMENT STAR EVENTS IN BASE.INP. EACH SET OF K0-ELEMENT EVENTS IS TACITLY INTERSECTED WITH EVERY 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. STAT3818 FILTERS TEST EVENTS FROM STAT3818.INP INTO STAT3818.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3818.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TDELTA LIES IN [ TDELTA1,TDELTA2 ] , THE EXPECTED NUMBER OF STAR INDICES OVER WHICH A [*]-QUALIFYING TEST EVENT SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED AND TDELTA IS PRE-DEFINED AS: TDELTA = [ IMAX + 1 ] - H(II) - KCT. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS OF BASE.INP. STAT3818 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3818.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 STAT3818 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3818 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 STAT3818. CF. ALSO STAT1016. STAT94.INP MAY BE UTILIZED AS STAT2013.INP. CF. STAT2758. EVENTS IN STAT94.INP ARE RANKED IN DESCENDING ORDER OF TDELTA = IMAX+1-H(II). STAT3818 IS A VARIANT OF STAT3417, AND STAT1618, UTILIZING A GEOMETRIC PROBABILITY DISTRIBUTION. STAT3818 GENERATES THE CRITICAL FILE STAT3525.INP. CF. STAT3525.BAT. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS RECORDED IN CUMULAT.OUT FOR FURTHER ANALYSIS. STAT3818 IS A VARIANT OF STAT3553. CF. STAT3553. AN UP-DATED JUST-IN-TIME FILE OF HIGHLY LIKELY K0-ELEMENT TEST EVENTS (PROJECTED FOR WEEKS, MONTHS, OR YEARS INTO THE FUTURE) WITH SUGGESTED INTIAL DATES OF EVENT SUBMISSION, IS SAVED AND RECORDED INTO JIT.TXT FOR ONGOING ACCESS AND APPLICATION. ====================================================================== -- L 3819 -- MONITOR MATRIX GENERATOR XXXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS I ( HYBRID OF STAT3246 AND STAT3820) RANKS L0 ELEMENTS IN DESCENDING ORDER OF < YDEL(L) = Y1(L) - Y0(L) > FOR L = 1, 2, ... , L0 , WHERE Y1(L) IS THE PROBABILITY THAT L OCCURS IN THE NEXT STAR EVENT AND Y0(L) IS THE PROBABILITY THAT L DOES NOT OCCUR IN THE NEXT STAR EVENT, BASED UPON BINARY <0,1> SEQUENCES GENERATED IN REAL-TIME BY THE ROUTINE. THIS PROCESS UTILIZES A GEOMETRIC PROBABILITY DISTRIBUTION. RANKED ELEMENTS ARE RECORDED IN PERM.INP AND STAT3819.OT2 FOR COMPLEMENTARY APPLICATIONS. STAT3819 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON 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. STAT3819 IS A VARIANT OF STAT3246 AND STAT3820. 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. STAT3819 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). STAT3819 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. STAT3819 IS A VARIANT OF STAT3246, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3819 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, OF EACH STAR EVENT IN BASE.INP ARRANGED IN DESCENDING ORDER OF Pr(C(J)>, J = 1, ... , K0. STAT3819 ACCUMULATES THE TOP RANKING PAIR OF ELEMENTS FROM EACH ROW OF STAT3819.OT4, RATHER THAN THE TOP SINGLE ELEMENT FROM A ROW. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3819.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3819.OT4. STAT94.INP, A SET OF THREE HIGH-PROBABILITY K0-ELEMENT TEST EVENTS, IS EXTRACTED FROM OUTPUT PERMUTATIONS GENERATED AND RECORDED IN PERM.OUT. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. CF. ALSO THE COMPANION, STAT3246. ====================================================================== -- L 3820 -- MONITOR MATRIX GENERATOR XXXX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( HYBRID OF STAT3246 AND STAT3819 ) RANKS L0 ELEMENTS IN DESCENDING ORDER OF < YDEL(L) = Y1(L) - Y0(L) > FOR L = 1, 2, ... , L0 , WHERE Y1(L) IS THE PROBABILITY THAT L OCCURS IN THE NEXT STAR EVENT AND Y0(L) IS THE PROBABILITY THAT L DOES NOT OCCUR IN THE NEXT STAR EVENT, BASED UPON BINARY <0,1> SEQUENCES GENERATED IN REAL-TIME BY THE ROUTINE. THIS PROCESS UTILIZES A GEOMETRIC PROBABILITY DISTRIBUTION. RANKED ELEMENTS ARE RECORDED IN PERM.INP AND STAT3820.OT2 FOR COMPLEMENTARY APPLICATIONS. STAT3820 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON 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. STAT3820 IS A VARIANT OF STAT3246 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. STAT3820 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). STAT3820 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. STAT3820 IS A VARIANT OF STAT3246, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3820 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, OF EACH STAR EVENT IN BASE.INP ARRANGED IN DESCENDING ORDER OF Pr(C(J)>, J = 1, ... , K0. STAT3820 ACCUMULATES THE TOP RANKING SINGLE ELEMENT FROM EACH ROW OF STAT3819.OT4, RATHER THAN THE TOP PAIR OF ELEMENTS FROM A ROW. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3820.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3820.OT4. STAT94.INP, A SET OF THREE HIGH-PROBABILITY K0-ELEMENT TEST EVENTS, IS EXTRACTED FROM OUTPUT PERMUTATIONS GENERATED AND RECORDED IN PERM.OUT. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. CF. ALSO THE COMPANION, STAT3246. ====================================================================== -- L 3821 -- ( RE-ARRANGING THE ELEMENTS OF A Q0-ELEMENT PERMUTATION AS A UNION OF M0-ELEMENT SUB-PERMUTATIONS ) STAT3821 READS A Q0-ELEMENT PERMUTATION FROM PERM.INP, WHOSE ELEMENTS ARE PRESUMED TO BE ARRANGED IN LEXICOGRAPHIC ORDER OF SOME DESIRED METRIC SUCH AS A GEOMETRIC PROBABILITY DISTRIBUTION WITH Pr( EACH GIVEN ELEMENT WILL OCCUR ON THE NEXT TRIAL ). ELTS. ARE RE-ARRANGED AS A UNION OF SUCCESSIVE SUB-STRINGS OF SIZES 5, 6, 8, 11, OR 12 AND RECORDED IN PERM.OUT FOR FURTHER ANALYSIS. PERM.INP MAY BE GENERATED BY STAT3246 AS PERM.OUT FOR USAGE IN STAT3821. THE FILES STAT201.INP, STAT361.INP, AND STAT3168.INP ARE ALSO GENERATED FOR FUTURE ANALYSIS. ====================================================================== -- L 3822 -- ( READING AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS AND RANKING K0-ELEMENT EVENTS IN DESCENDING ORDER OF MEANS OF THE SUM OF PROBABILITY WEIGHTS OVER ALL K0 ELEMENTS PER EVENT BASED UPON A GEOMETRIC PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA LOWER AND UPPER BOUND WEIGHT-MEANS FOR K0-ELEMENT EVENTS ) ( VARIANT OF STAT3288 ) READS ONE SELECTED K0-ELEMENT TRANSLATION VECTOR FROM STAT3822.IN4 AND AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3822.INP AND RANKS EVENTS IN DESCENDING ORDER OF MEANS OF THE SUM OF PROBABILITY WEIGHTS OVER ALL K0 ELEMENTS PER EVENT BASED UPON A GEOMETRIC PROBABILITY DISTRIBUTION FOR ALL ELEMENTS VIA LOWER AND UPPER BOUND WEIGHT-MEANS FOR K0-ELEMENT EVENTS. TEST EVENTS ARE FILTERED FROM STAT3822.INP INTO STAT94.INP IN DESCENDING ORDER OF MEANS OF WEIGHTS OF ALL K0 ELEMENTS PER EVENT, AND LABELED AS [*]-QUALIFIED WHENEVER THE MEAN OF ELEMENT WTS. OVER K0 ALL COLUMNS LIES WITHIN [J1,J2] SELECTED IN REAL-TIME BY THE ANALYST. STAT3822 IS A VARIANT OF STAT3288. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3822.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS FILTERED FROM STAT3822.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 STAT3822.INP BY SELECTING AND ANALYZING THE NEXT EVENT IN SEQUENCE, RATHER THAN RANDOMLY FROM A SUBROUTINE. ====================================================================== -- L 3823 -- ( RE-DEFINING A K0-ELEMENT EVENT CONSISTING OF MEANS OF COLUMN ELEMENTS OF STAR EVENTS BY THE ADDITION OF TRANSLATION ELEMENTS ) STAT3823 READS A MATRIX OF TRANSLATION ELEMENTS FROM STAT3823.INP, GENERATED BY STAT3260 AS CUMULAT.OUT, A VECTOR OF K0 MEAN ELEMENTS FROM MEANS.OUT, GENERATED BY STAT3246, AND UTILIZES THE FILES TO TRANSLATE A K0-ELEMENT VECTOR OF MEANS GENERATED VIA STAT3246 AS MEANS.OUT. THE ANALYST IS PROMPTED TO ENTER THE VECTOR OF MEAN ELEMENTS IN REAL-TIME. THE TRANSLATED EVENTS ARE RECORDED IN STAT3823.OUT FOR FURTHER ANALYSIS. ====================================================================== -- L 3824 -- ( TRANSFORMS A (BMAX x K0)-DIMENSIONAL BLOCK OF EVENTS INTO K0 VECTORS OF ELEMENTS, EACH ONE OF WHICH HAS DIMENSION BMAX ) STAT3824 READS A (BMAX x K0)-DIMENSIONAL BLOCK OF INPUT EVENTS FROM STAT3824.INP AND TRANSFORMS THE BLOCK INTO K0 VECTORS OF ELEMENTS, EACH ONE OF WHICH HAS DIMENSION BMAX. THE OUTPUT SEQUENCES OF VECTORS ARE RECORDED IN STAT3824.OUT, FOR FURTHER ANALYSIS, E.G., IN STAT163, AS STAT163.INP. THE STAR EVENTS RECORDED IN BASE.INP, PRINCIPALLY, MAY BE UTILIZED AS STAT3824.INP. ====================================================================== -- L 3825 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT3246 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION ) READS A VECTOR OF K0-ELEMENT MEANS IN STAT3825.INP (PRE-GENERATED BY STAT3707 AS STAT94.INP), AND ALSO READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON ELEMENTS IN THE STAR EVENT SEQUENCE T = < 1, 2, ... , L0 > AND THEN 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. STAT3825 IS A VARIANT OF STAT3246 AND STAT3532, WITH MEAN ELEMENTS BEING READ FROM STAT3825.INP, NOT GENERATED. 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. STAT3825 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). STAT3825 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. STAT3825 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3825 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. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3825.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3825.OT4. STAT94.INP, A SET OF THREE HIGH-PROBABILITY K0-ELEMENT TEST EVENTS, IS EXTRACTED FROM OUTPUT PERMUTATIONS GENERATED AND RECORDED IN PERM.OUT. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3825 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. ====================================================================== -- L 3826 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( PERMUTATION VERSION OF STAT3723 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) (VARIANT OF STAT3639, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING PRE-DETERMINED GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3826 READS AN L0-ELEMENT SEQUENCE OF GAUSSIAN WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 >, GENERATED VIA STAT3764 AND STAT3246, AND READS A V0-ELEMENT PERMUTATION FROM PERM.INP, TACITLY DETERMINING ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND RANKING THE EVENTS IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ELEMENTS IN EACH OF THE COLUMNS < 1, 2, ... , K0>. STAT3826 IS A VARIANT OF STAT3641, STAT3642 AND STAT3247, ANALYZING K0-ELEMENT SUB-STRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3826.INP. A MINIMUM MEAN K0-ELEMENT GAUSSIAN PROBABILITIES >= MINPROD, IS SELECTED IN REAL-TIME BY THE ANALYST. STAT3826 IS ALSO A VARIANT OF STAT3640. ====================================================================== -- L 3827 -- GENERATING SCROLLING, CONTIGUOUS Q0-ELEMENT PERMUTATIONS FROM A FIXED PERMUTATION FOR USAGE IN STAT3828 AND OTHER SELECTED ROUTINES STAT3827 READS A FIXED L0-ELEMENT PERMUTATIONS FROM PERM.INP, GENERATED BY STAT3246 AS PERM.OUT TO DETERMINE A SEQUENCE OF SCROLLING, CONTIGUOUS Q0-ELEMENT SUB-PERMUTATIONS. GENERATED SUB-PERMUTATIONS ARE RECORDED IN PERM.OUT FOR USAGE AS PERM.INP OF STAT3828. ====================================================================== -- L 3828 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( VARIANT OF STAT3826 ) ( PERMUTATION VERSION OF STAT3723 ) ( PERMUTATION VERSION OF STAT3641 , STAT3642, AND STAT3647 ) (VARIANT OF STAT3639, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING PRE-DETERMINED GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3828 READS IN WT(L).INP AN L0-ELEMENT SEQUENCE OF GAUSSIAN WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 >, GENERATED VIA STAT3246 AS WT(L).OUT, AND READS A V0-ELEMENT PERMUTATION FROM PERM.INP, TACITLY DETERMINING ALL [ V0 CHOOSE K0 ] K0-ELEMENT TEST EVENTS, AND RANKING THE EVENTS IN DESCENDING ORDER OF PRODUCTS OF WEIGHTS OF ELEMENTS IN EACH OF THE COLUMNS < 1, 2, ... , K0>. STAT3828 IS A VARIANT OF STAT3641 AND STAT3642 AND STAT3247, ANALYZING K0-ELEMENT SUB-STRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3828.INP. A MINIMUM MEAN K0-ELEMENT GAUSSIAN PROBABILITIES >= MINPROD, IS SELECTED IN REAL-TIME BY THE ANALYST. STAT3828 IS ALSO A VARIANT OF STAT3640 AND STAT3826. ====================================================================== -- L 3829 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXIX ( HYBRID OF STAT1504 AND STAT3828 ) ( SUB-PERMUTATION CASES <==========> W0 = 3 and 6 ) STAT3829 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A J0-ELEMENT PERMUTATION FROM PERM.INP, (GENERATED AS PERM.OUT BY STAT3246, E.G.). A TOTAL OF (N [C] K0) TEST EVENTS OF SIZE W0 ARE GENERATED FROM PERM.INP, NOT READ FROM A FILE LIKE STAT3829.INP. EACH GENERATED K0-ELEMENT EVENT IS INTERSECTED WITH STAR EVENTS FROM THE FILE BASE.INP TO DETERMINE SALIENT OUTCOMES. THE ROUTINE FILTERS A SEQUENCE OF BLOCKS OF K0-ELEMENT EVENTS. 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. STAT3829 FILTERS TEST EVENTS FROM STAT3829.INP INTO STAT3829.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3829.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. STAT3829 IS A VARIANT OF STAT1468, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3829.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 STAT3829 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. CF. STAT1618. CF. ALSO STAT2786, AS STAT3829 IS A SPECIAL VARIANT OF STAT2786. A CUMULATIVE FILE OF TEST EVENTS FROM STAT94.INP IS GENERATED AND RECORDED IN CUMULAT.OUT FOR FURTHER ANALYSIS. (SUB-PERMUTATION CASES <===> W0 = 1,2,4,and 5) RESIDE IN STAT3830. ====================================================================== -- L 3830 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXX ( HYBRID OF STAT1504 AND STAT3828 ) ( SUB-PERMUTATION CASES <==========> W0 = 1, 2, 4, and 5 ) STAT3830 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A J0-ELEMENT PERMUTATION FROM PERM.INP, (GENERATED AS PERM.OUT BY STAT3246, E.G.). A TOTAL OF (N [C] K0) TEST EVENTS OF SIZE W0 ARE GENERATED FROM PERM.INP, NOT READ FROM A FILE LIKE STAT3830.INP. EACH GENERATED K0-ELEMENT EVENT IS INTERSECTED WITH STAR EVENTS FROM THE FILE BASE.INP TO DETERMINE SALIENT OUTCOMES. THE ROUTINE FILTERS A SEQUENCE OF BLOCKS OF K0-ELEMENT EVENTS. 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. STAT3830 FILTERS TEST EVENTS FROM STAT3830.INP INTO STAT3830.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT3830.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. STAT3830 IS A VARIANT OF STAT1468, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3830.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 STAT3830 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. CF. STAT1618. CF. ALSO STAT2786, AS STAT3830 IS A SPECIAL VARIANT OF STAT2786. A CUMULATIVE FILE OF TEST EVENTS FROM STAT94.INP IS GENERATED AND RECORDED IN CUMULAT.OUT FOR FURTHER ANALYSIS. ( SUB-PERMUTATION CASES <===> W0 = 3 and 6 ) RESIDE IN STAT3829. ====================================================================== -- L 3831 -- ( READS A SEQUENCE OF L0 ELEMENTS , L = 1, 2, ... , L0, (E.G., ARRANGED VIA DESCENDING FREQUENCIES GENERATED IN STAT3246 AS PERM.INP) AND ASSIGNS A REAL-TIME GAUSSIAN OR EMPIRICAL WEIGHT, WT(F(L)), FOR EACH ELEMENT, L , UTILIZING EITHER THE GIVEN RANKING OR THE EMPIRICAL RULE FOR A NORMAL OR GAUSSIAN DISTRIBUTION ) III ( VARIANT OF STAT3490 AND STAT3764 ) STAT3831 READS A SEQUENCE OF L0 ELEMENTS >, L= 1,2, ... , L0, FROM PERM.INP, E.G. ARRANGED VIA DESCENDING FREQUENCIES, GENERATED VIA STAT3246 AS PERM.OUT, AND ASSIGNS A REAL-TIME GAUSSIAN WEIGHT, WT(L), TO EACH ELEMENT, F(L), UTILIZING EITHER THE GIVEN RANKING OR THE EMPIRICAL RULE FOR A NORMAL OR GAUSSIAN DISTRIBUTION. THE GENERATED WEIGHTS ARE RECORDED IN RANK1(L).OUT, RANK2(L).OUT, OR RANK3(L).OUT, TO BE FURTHER ANALYZED IN ANOTHER ROUTINE, E.G., STAT3763 AND STAT3723. CF. STAT3490, WHERE, FOR L = 1,...,L0. IN PERM.INP ARE PRESUMED TO BE IN EITHER ASCENDING OR DESCENDING ORDER. CF. STAT3490 AND STAT3764. / / 1 ) Existing Ordering ====> RANK1(L).OUT / / / / 2 ) Gaussian Ordering ====> RANK2(L).OUT / / / / 3 ) Empirical Ordering ====> RANK3(L).OUT / / / / ====================================================================== -- L 3832 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( VARIANT OF STAT3246, STAT3825 AND STAT3819 ) ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION ) 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. STAT3832 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. STAT3832 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). STAT3832 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. STAT3832 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3832 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. AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF TENS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3832.OT3. MOREOVER, AN (IMAX x K0)-DIMENSIONAL MATRIX OF OF INCREMENTS BETWEEN ADJACENT OR SUCCESSIVE PAIRS OF UNITS DIGITS FOR ELEMENTS OVER THE LAST IMAX STAR EVENTS IS DETERMINED AND RECORDED IN STAT3832.OT4. STAT94.INP, A SET OF THREE HIGH-PROBABILITY K0-ELEMENT TEST EVENTS, IS EXTRACTED FROM OUTPUT PERMUTATIONS GENERATED AND RECORDED IN PERM.OUT. A SEQUENCE OF FREQUENCIES OF ELEMENTS , L = 1 , 2 , ... , L0 IS GENERATED AS AN OUTPUT FILE, PERM.INP FOR USAGE, E.G., IN STAT3121 OR STAT3798 AS PERM.INP. A COMPUTED SEQUENCE OF IMAX K0-ELEMENT MEAN DEVIATIONS OF SUCCESSIVE PAIRS OF ELEMENTS (OVER THE K0 COLUMNS OF STAR EVENTS IN BASE.INP) IS RECORDED AS STAT3683.INP FOR FURTHER ANALYSIS IN STAT3683. A 6-ELEMENT VECTOR OF COLUMN MEANS IS GENERATED AND RECORDED IN MEANS.OUT. STAT3832 ALSO GENERATES AND RECORDS DISPLACEMENTS FROM BASE.INP INTO STAT163. A SEQUENCE OF FREQUENCIES ( FREQ(L), L=1, ... , L0 ) IS RECORDED IN PERM.INP TO BE UTILIZED AS PERM.INP IN STAT3764. STAT3832 IS A VARIANT OF STAT3246, STAT3825 AND STAT3819. ====================================================================== -- L 3833 -- ( 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 A SELECTED SUBSEQUENCE OF WEIGHT-SUMS FOR K0-ELEMENT EVENTS WITH WT_SUMS DETERMINED AND GENERATED IN STAT3260.OT2 ) ( CASES: K0 = 5 OR K0 = 6 ) ( VARIANT/HYBRID OF STAT3346, STAT3272, STAT3258, STAT3266 AND STAT3288 ) 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 STAT3833.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3833.IN3 FOR USAGE BY STAT3833, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. STAT3833.IN3 MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3833.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 K0 ALL COLUMNS LIES WITHIN A SEQUENCE SELECTED BY THE ANALYST OR DETERMINED AND GENERATED BY STAT3260 IN STAT3260.OT2. STAT3833 IS A VARIANT OF STAT3288. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3833.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS FILTERED FROM STAT3833.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, STAT3833, STAT3260, AND STAT3288. ====================================================================== -- L 3834 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXVIII ( QUALIFYING SINGLE EVENTS VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) ( VARIANT OF STAT3576 ) STAT3834 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT3834.INP, A SEQUENCE OF FMAX K0-ELEMENT TRANSLATION VECTORS FROM ST0T3834.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM STAT3834.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT3834.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 STAT3834 FILTERS TEST EVENTS FROM STAT3834.INP INTO STAT3834.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3834.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. STAT3834 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3834.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 STAT3834 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3834 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 STAT3834. 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 TMAX = II - ( JMAX - H(II) ) for each [*]-QUALIFYING TEST EVENT. CF. STAT3576, OF WHICH STAT3834 IS A VARIANT. ====================================================================== -- L 3835 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXVII ( QUALIFYING SINGLE EVENTS VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) ( VARIANT OF STAT3833, STAT3834 AND STAT3576 ) ( CASE: K0 = 5 ) ( 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 A SELECTED SUBSEQUENCE OF WEIGHT-SUMS FOR K0-ELEMENT EVENTS WITH WT_SUMS DETERMINED AND GENERATED IN STAT3260.OT2 ) ( VARIANT/HYBRID OF STAT3833, STAT3834, STAT3258, STAT3266 AND STAT3288 ) 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 STAT3833.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3833.IN3 FOR USAGE BY STAT3833, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. STAT3833.IN3 MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3833.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 K0 ALL COLUMNS LIES WITHIN A SEQUENCE SELECTED BY THE ANALYST OR DETERMINED AND GENERATED BY STAT3260 IN STAT3260.OT2. STAT3833 IS A VARIANT OF STAT3288. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3833.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS FILTERED FROM STAT3833.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, STAT3833, STAT3260, AND STAT3288. STAT3835 IS THE K0 = 6 VERSION OF STAT3835. 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 STAT3835 FILTERS TEST EVENTS FROM STAT3835.INP INTO STAT3835.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3835.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. STAT3835 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3835.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 STAT3835 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3835 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 STAT3835. 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 TMAX = II - ( JMAX - H(II) ) for each [*]-QUALIFYING TEST EVENT. CF. STAT3576, OF WHICH STAT3835 IS A VARIANT. CF. STAT3836 FOR THE CASE: K0 = 6. ====================================================================== -- L 3836 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXVIII ( QUALIFYING SINGLE EVENTS VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) ( VARIANT OF STAT3833, STAT3834 AND STAT3576 ) ( CASE: K0 = 6 ) ( 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 A SELECTED SUBSEQUENCE OF WEIGHT-SUMS FOR K0-ELEMENT EVENTS WITH WT_SUMS DETERMINED AND GENERATED IN STAT3260.OT2 ) ( VARIANT/HYBRID OF STAT3833, STAT3834, STAT3258, STAT3266 AND STAT3288 ) 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 STAT3833.IN3 WHICH IS GENERATED VIA STAT3250 AS STAT3833.IN3 FOR USAGE BY STAT3833, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. STAT3833.IN3 MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3833.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 K0 ALL COLUMNS LIES WITHIN A SEQUENCE SELECTED BY THE ANALYST OR DETERMINED AND GENERATED BY STAT3260 IN STAT3260.OT2. STAT3833 IS A VARIANT OF STAT3288. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3833.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS FILTERED FROM STAT3833.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, STAT3833, STAT3260, AND STAT3288. STAT3836 IS THE K0 = 6 VERSION OF STAT3836. 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 STAT3836 FILTERS TEST EVENTS FROM STAT3836.INP INTO STAT3836.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3836.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. STAT3836 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3836.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 STAT3836 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3836 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 STAT3836. 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 TMAX = II - ( JMAX - H(II) ) for each [*]-QUALIFYING TEST EVENT. CF. STAT3576, OF WHICH STAT3836 IS A VARIANT. CF. STAT3835 FOR THE CASE: K0 = 5. ====================================================================== -- L 3837 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXVII ( QUALIFYING SINGLE EVENTS VIA A GEOMETRIC PROBABILITY DISTRIBUTION ) ( VARIANT OF STAT3838, STAT3833, STAT3834, STAT3272 AND STAT3576 ) ( CASE: K0 = 5 ) GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A SINGLE Q0-ELEMENT PERMUTATION RECORDED IN PERM.INP, AND TACITLY 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 A SELECTED SUBSEQUENCE OF WEIGHT-SUMS FOR K0-ELEMENT EVENTS WITH WT_SUMS DETERMINED AND GENERATED IN STAT3260.OT2 ) ( VARIANT/HYBRID OF STAT3833, STAT3834, STAT3266 AND STAT3288) IT READS A Q0-ELEMENT PERMUTATION ON THE ELEMENTS < 1, 2, ... , Q0 > AND IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. STAT3833.IN3 MAY CONSIST OF FREQUENCIES OR ANY DESIRED WEIGHTS FOR L0 ELEMENTS. TEST EVENTS ARE FILTERED FROM STAT3833.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 A SEQUENCE SELECTED BY THE ANALYST OR DETERMINED AND GENERATED BY STAT3260 IN STAT3260.OT2. STAT3833 IS A VARIANT OF STAT3288. PROBABILITY WEIGHTS OF ELEMENTS ARE DETERMINED IN REAL-TIME FROM STAT3250 AND RECORDED AS STAT3833.IN2 AND STAT3248.IN3 AS ( L0 x K0 ) - DIMENSIONAL BLOCKS WITH TEST EVENTS FILTERED FROM STAT3833.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, STAT3833, STAT3260, AND STAT3288. STAT3837 IS THE K0 = 6 VERSION OF STAT3837. 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 STAT3837 FILTERS TEST EVENTS FROM STAT3837.INP INTO STAT3837.OUT AND STAT94.INP. INPUT EVENTS FROM STAT3837.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. STAT3837 IS A VARIANT OF STAT1618, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT3837.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 STAT3837 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3837 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 STAT3837. 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 TMAX = II - ( JMAX - H(II) ) for each [*]-QUALIFYING TEST EVENT. CF. STAT3576, OF WHICH STAT3837 IS A VARIANT. CF. STAT3838 FOR THE CASE: K0 = 6. CF. ALSO STAT3272. ====================================================================== -- L 3838 -- 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 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. 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 3839 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( INPUT TEST EVENT VERSION OF STAT3826 ) ( TEST EVENT VERSION OF STAT3826, STAT3641 , STAT3642, AND STAT3647 ) (VARIANT OF STAT3639, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING PRE-DETERMINED GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) STAT3839 READS AN L0-ELEMENT SEQUENCE OF GAUSSIAN WEIGHTS OF ELEMENTS IN WT(L).INP ON < 1, 2, ... , L0 >, GENERATED VIA STAT3764 AND STAT3246, AND READS A LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3839.INP, DETEMINING FOR EACH INPUT EVENT, THE WEIGHT SUM OVER ALL K0 ELEMENTS, AND RANKING EVENTS IN DESCENDING ORDER OF SUMS OF ELEMENTS OVER EACH OF THE COLUMNS < 1, 2, ... , K0>. STAT3839 IS A VARIANT OF STAT3641 AND STAT3642 AND STAT3247, ANALYZING K0-ELEMENT SUB-STRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3839.INP. A MINIMUM MEAN K0-ELEMENT GAUSSIAN PROBABILITIES >= MINPROD, IS SELECTED IN REAL-TIME BY THE ANALYST. STAT3839 IS ALSO A VARIANT OF STAT3826. ====================================================================== -- L 3840 -- ( EXTRACTING ALL PAIRS OF ELEMENTS FROM A FIXED PERMUTATION OF SIZE Q0, DETERMINING, OVER ALL [ Q0 C 2 ] OR [ Q0 C 3 ] PAIRS, A WEIGHT SUM PER PAIR OR TRIAD OF ELEMENTS EXTRACTED AND RANKING THE PAIRS OR TRIADS IN DESCENDING ORDER OF SUMS, BASED UPON THE PROBABILITY THAT EACH SEPARATE ELEMENT WILL OCCUR ON THE NEXT TRIAL ) X ( HYBRID OF STAT3591 AND STAT3592 ) 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 RANK(L).OUT), AND A Q0-ELEMENT PERMUTATION FROM PERM.INP. ALL [ Q0 C 2 ] OR [ Q0 C 3 ] ELEMENTS ARE GENERATED FROM PERM.INP AND STAT3840 THEN DETERMINES A SUM OF WEIGHTS THAT EITHER EACH EXTRACTED PAIR OR TRIAD OF ELEMENTS YIELDS, BASED UPON THE L0 ELEMENT WEIGHTS GENERATED FROM STAT3246 AS RANK(L).OUT AND UTLIIZED AS WT(L.INP. THE RESULTS ARE RECORDED IN STAT3840.OUT FOR FURTHER ANALYSIS. STAT3840 IS AN HYBRID OF STAT3591 AND STAT3592. THE EXTRACTED ELEMENT PAIRS OR TRIADS ARE RANKED IN DESCENDING ORDER OF SUM OF WEIGHTS AND RECORDED IN STAT94.INP. A PERMUTATION OF UNIQUE ELEMENTS IS EXTRACTED FROM THE TOP ICT 2-ELEMENT SETS OR TOP ICT 3-ELEMENT SETS AND RECORDED IN STAT94.INP. ======================================================================