= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2017 by J.E. Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part VII(b) ( STAT 3640 ----> STAT 3706 ) = = = = = = = = = = = = The COMP-U-STAT System consists of a cluster of more than 3706 = = = = modular programs, providing the analyst with a clear and distinct = = = = scientific and mathematical edge in generating novel and useful = = = = statistical patterns for analyzing trends from random variables. = = = = The following is a glossary describing the functions of all = = = = routines in the sequence. There are many statistical applications = = = = of the COMP-U-STAT cluster. Please see available DEMO Diskettes, = = = = provided upon request, for numerous examples of output files. = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = ========================================================================= * * * GLOSSARY OF COMP-U-STAT PROGRAMS 3640 ---> 3706 * * * ========================================================================= -- L 3640 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( CASE: V1 = 6 ) XII (VARIANT OF STAT3639, STAT3638, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING THE MEAN OF THE V1 PROBABILITIES PER V1-ELEMENT STRING ) ( NOT UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF V1-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. STAT3640 IS A VARIANT STAT3641 AND STAT3642 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3640.INP. HOWEVER, TO GENERATE MEAN PROBABILITIES OF PERM STRINGS, STAT3640 UTILIZES THE MEANS OF THE WEIGHTS OF V1 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 STAT3640 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. STAT3640 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. STAT3640 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 STAT3640 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3640, 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. STAT3640 GENERATES THE CRITICAL FILE STAT2803.INP FOR ANALYSIS IN STAT2803. CF. ALSO STAT3561 AND STAT3562. STAT3640 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3641 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( CASE: V1 = 5 ) XIII (VARIANT OF STAT3640, STAT3638, STAT3639, STAT3469, STAT3487, STAT3491) ( UTILIZING THE PRODUCT 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 6-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. STAT3641 IS A VARIANT STAT3631 AND STAT3638 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3641.INP. HOWEVER, TO GENERATE PRODUCT PROBABILITIES OF PERM STRINGS, STAT3641 UTILIZES THE PRODUCTS OF THE WEIGHTS OF V1 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 STAT3641 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. STAT3641 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. STAT3641 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 STAT3641 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3641, 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. STAT3641 GENERATES THE CRITICAL FILE STAT2803.INP FOR ANALYSIS IN STAT2803. CF. ALSO STAT3561 AND STAT3562. STAT3641 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3642 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( CASE: V1 = 4 ) XIV (VARIANT OF STAT3641, STAT3638, STAT3639, STAT3540, STAT3487, STAT3491) ( UTILIZING THE PRODUCT 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 V1-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. STAT3642 IS A VARIANT STAT3642 AND STAT3638 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3642.INP. HOWEVER, TO GENERATE PRODUCT PROBABILITIES OF PERM STRINGS, STAT3642 UTILIZES THE PRODUCTS OF THE WEIGHTS OF V1 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 STAT3642 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. STAT3642 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. STAT3642 IS A DERIVATIVE AND VARIANT OF STAT3641 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 STAT3642 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3642, 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. STAT3642 GENERATES THE CRITICAL FILE STAT2803.INP FOR ANALYSIS IN STAT2803. CF. ALSO STAT3561 AND STAT3562. STAT3642 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3643 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( CASE: V1 = 3 ) XV (VARIANT OF STAT3642, STAT3641, STAT3640, STAT3540, STAT3487, STAT3491) ( UTILIZING THE PRODUCT 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 V1-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. STAT3643 IS A VARIANT STAT3631 AND STAT3638 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3643.INP. HOWEVER, TO GENERATE PRODUCT PROBABILITIES OF PERM STRINGS, STAT3643 UTILIZES THE PRODUCTS OF THE WEIGHTS OF V1 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 STAT3643 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. STAT3643 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. STAT3643 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 STAT3643 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3643, 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. STAT3643 GENERATES THE CRITICAL FILE STAT2803.INP FOR ANALYSIS IN STAT2803. CF. ALSO STAT3561 AND STAT3562. STAT3643 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3644 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF V1-ELEMENT PERMUTATIONS ( CASE: V1 = 2 ) XVI (VARIANT OF STAT3643, STAT3642, STAT3641, STAT3640, STAT3487, STAT3491) ( UTILIZING THE PRODUCT 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 V1-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. STAT3644 IS A VARIANT STAT3643 AND STAT3642 AND STAT3641, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3644.INP. HOWEVER, TO GENERATE PRODUCT PROBABILITIES OF PERM STRINGS, STAT3644 UTILIZES THE PRODUCTS OF THE WEIGHTS OF V1 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 STAT3644 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. STAT3644 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. STAT3644 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 STAT3644 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3644, 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. STAT3644 GENERATES THE CRITICAL FILE STAT2803.INP FOR ANALYSIS IN STAT2803. CF. ALSO STAT3561 AND STAT3562. STAT3644 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3645 -- ( GENERATING K0-ELEMENT EVENTS FROM EACH PERMUTATION IN A SEQUENCE OF 9-ELEMENT PERMUTATIONS BY TAKING THE UNION OF BIPARTITE PAIRS OF 3 NON-OVERLAPPING 3-ELEMENT STRINGS OF EACH PERMUTATION ) STAT3645 READS A SEQUENCE OF 9-ELEMENT PERMUTATIONS FROM PERM.INP, GENERATING K0-ELEMENT EVENTS FROM EACH PERMUTATION IN THE SEQUENCE BY TAKING THE UNION OF BIPARTITE PAIRS OF 3 NON-OVERLAPPING 3-ELEMENT STRINGS OF EACH PERMUTATION, WITH K0 = 6 OR 5. GENERATED EVENTS ARE RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. PERM.INP MAY BE GENERATED VIA STAT3639 AS PERM.OUT OR BY STAT2349 AS PERM.OUT OR BY ANOTHER ROUTINE. IF K0 = 6, THEN 3 K0-ELEMENT ARE GENERATED FOR EACH 9-ELEMENT INPUT PERMUTATION. HOWEVER, IF K0 = 5, THEN 18 K0-ELEMENT EVENTS ARE GENERATED FOR EACH 9-ELEMENT PERMUTATIONS. ELEMENTS OF EACH K0-ELEMENT EVENT ARE SUBSEQUENTLY ORDERED IN STAT2803 VIA STAT2803.BAT. ========================================================================= -- L 3646 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS ( CASE: K0 = 6, V1 = 9 ) XVIII (VARIANT OF STAT3631, STAT3628, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF V1-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. STAT3646 IS A VARIANT STAT3631 AND STAT2343 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3646.INP. HOWEVER, STAT3646 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3646 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. STAT3646 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3646.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3646 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 STAT3646 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3646, 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. STAT3646 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3646 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3647 -- ( DETERMINING K0-ELEMENT EVENTS FROM SELECTED PAIRS OF COLUMNS OF A (BMAX x K0)-DIMENSIONAL MATRIX VIA A SEQUENCE OF K0-ELEMENT VECTORS OF COLUMN INDICES OR FROM MEANS OF VERTICAL PAIRS OF ELEMENTS AND CONTIGUOUS SCROLLING TRIADS OF ELEMENTS FROM EVENTS ) ( VERIFIED PAST LJP GENERATED ) STAT3647 READS A (BMAX x K0)-DIMENSIONAL MATRIX FROM STAT3647.INP AND A SEQUENCE OF K0-ELEMENT VECTORS OF COLUMN INDICES FROM STAT3647.IN2 OR FROM MEANS OF VERTICAL PAIRS OF ELEMENTS AND CONTIGUOUS SCROLLING TRIADS OF ELEMENTS FROM EVENTS IN STAT3647.INP. MOREOVER, FROM THIS INFORMATION, STAT3647 GENERATES A SEQUENCE OF K0-ELEMENT TEST EVENTS AND RECORDS THEM IN STAT3647.OUT FOR FURTHER ANALYSIS. ========================================================================= -- L 3648 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS (CASE: K0 = 6) VII (VARIANT OF STAT3269, STAT3247, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING MEANS OF PROBABILITIES OF K0 ELEMENTS PER EVENT OVER A LARGE ( BMAX xK0 )-DIMENSIONAL MATRIX OF EVENTS ) II STAT3648 READS A LARGE BLOCK OF K0-ELEMENT EVENTS FROM STAT3648.INP, COMPARES A COMPLETE SET OF K0-ELEMENT EVENTS GENERATED FROM THE K0-ELEMENT EVENTS IN STAT3648.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. STAT3648 IS A VARIANT STAT3628 AND STAT2343 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM STAT3648.INP, RATHER THAN Q0-ELEMENT PERMS FROM PERM.INP. HOWEVER, STAT3648 UTILIZES MEANS OF PROBABILITIES OF K0 ELEMENTS PER EVENT OVER A ( BMAX x K0 )-DIMENSIONAL MATRIX. WEIGHTS OF ELEMENTS IN WT(L).INP DETERMINED AS WT(L).OUT FROM STAT3246 AND FILTERS [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3648 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. STAT3648 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3648.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3648 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 STAT3648 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3648, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN CF. STAT3320 FOR THE PERMUTATION VERSION. CF. STAT3419. A SEQUENCE OF PROBABILITY WEIGHTS, ,WT(L), L = 1, ... , L0 IS READ FROM WT(L).INP, GENERATED BY STAT3246 AS WT(L).OUT FOR EVENT PROBABILITIES. STAT3648 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3648 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. STAT3648 UTILIZES EITHER THE MEAN WEIGHT OF A K0-ELEMENT TO DETERMINE ITS PROBABILITY OR A GEOMETRIC, POISSON, OR NEGATIVE-BINOMIAL DISTRIBUTION FOR THE EVENT TO DETERMINE ITS PROBABILITY. ========================================================================= -- L 3649 -- ( FILTERING K0-ELEMENT EVENTS FROM A LARGE SEQUENCE WHOSE ( 4 x K0 )- DIMENSIONAL MATRIX, F2(I,J), OF PROPERTIES MINIMALLY MATCH THE ( 4 x K0 )-DIMENSIONAL MATRIX, F1(I,J), OF PROPERTIES OF ELEMENT DIGITS PREVIOUSLY DETERMINED BY STAT3276 FOR THE LAST IMAX STAR EVENTS ) STAT3649 READS AN ARBITRARILY LARGE BLOCK OF K0-ELEMENT TEST EVENTS FROM STAT3649.INP AND A ( 4 x K0 )-DIMENSIONAL MATRIX , F1(I,J), ( I = 1, ..., 4, AND J = 1, ... , K0 ) OF PROPERTIES OVER THE LAST IMAX STAR EVENTS, RELATED TO ELEMENT DIGITS PER EVENT (STAT3649.IN2, PRE-GENERATED BY STAT3276 AS STAT3278.INP FOR STAT3649). STAT3649 THEN DETERMINES, FOR EACH SINGLE TEST EVENT IN STAT3649.INP, A ( 4 x K) )-DIMENSIONAL MATRIX, F2(I,J), OF PROPERTIES OF ELEMENT DIGITS. THOSE EVENTS ARE FILTERED FOR WHICH EVERY ENTRY OF F2(I,J) MINIMALLY MATCHES CORRESPONDING ENTRIES OF F1(I,J), WHERE ( I = 1, ..., 4, AND J = 1, ... , K0 ) AND RECORDED IN STAT3649.OUT. ========================================================================= -- L 3650 -- ( FILTERING K0-ELEMENT EVENTS FROM A BLOCK OF K0-ELEMENT EVENTS, (EXTRACTED FROM A FIXED V0-ELEMENT PERMUTATION), WHOSE ( 4 x K0 )- DIMENSIONAL MATRIX, F2(I,J), OF PROPERTIES MINIMALLY MATCH THE ( 4 x K0 )-DIMENSIONAL MATRIX, F1(I,J), OF PROPERTIES OF ELEMENT DIGITS PREVIOUSLY DETERMINED BY STAT3276 FOR THE LAST IMAX STAR EVENTS ) STAT3650 READS A V0-ELEMENT PERMUTATION FROM PERM.INP AND A ( 4 x K0 )-DIMENSIONAL MATRIX , F1(I,J), ( I = 1, ..., 4, AND J = 1, ... , K0 ) OF PROPERTIES OVER THE LAST IMAX STAR EVENTS, RELATED TO ELEMENT DIGITS PER EVENT (STAT3650.IN2, PRE-GENERATED BY STAT3276 AS STAT3278.INP FOR STAT3650). STAT3650 THEN DETERMINES FOR EACH ONE OF THE [ V0 CHOOSE K0 ] TEST EVENT EXTRACTED PERM.INP, A ( 4 x K0)-DIMENSIONAL MATRIX, F2(I,J), OF PROPERTIES OF ELEMENT DIGITS. THOSE EVENTS GENERATED FROM PERM.INP ARE FILTERED FOR WHICH ENTRIES OF F2(I,J) MINIMALLY MATCH CORRESPONDING ENTRIES OF F1(I,J), WHERE ( I = 1, ..., 4, AND J = 1, ... , K0 ) ARE RECORDED IN STAT3650.OUT. ========================================================================= -- L 3651 -- ( GENERATING A Q0-ELEMENT SUB-PERMUTATION FROM A FIXED L0-ELEMENT PERMUTATIONS BY SELECTING A UNION OF SUB-STRINGS OF A DESIRED SIZE FROM THE HEAD OF EACH ONE OF 4 NON-OVERLAPPING STRINGS OF SIZE L0/4 OF THE INPUT PERMUTATION ) STAT3651 READS AN L0-ELEMENT PERMUTATION FROM PERM.INP (PRE-GENERATED BY STAT3246 AS PERM.OUT TO BY UTILIZED BY STAT3651) AND GENERATES INTO PERM.OUT A Q0-ELEMENT SUB-PERMUTATION CONSISTING OF A UNION OF SELECTED SUB-STRINGS OF A DESIRED SIZE FROM THE HEAD OF EACH ONE OF 4 NON-OVERLAPPING SUB-STRINGS OF SIZE L0/4, RESIDING IN THE INITIAL PERMUTATION OF PERM.INP. THE RESULTING PERMUTATION IN PERM.OUT IS FURTHER UTILIZED AS PERM.INP IN OTHER ROUTINES, SUCH AS STAT3385. ========================================================================= -- L 3652 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC DISTRIBUTION FUNCTION OVER EACH ONE OF K0 SEPARATE COLUMNS ) ( VARIANT OF STAT3250 ) 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. STAT3652 IS A VARIANT OF STAT3250, ANALYZING L0 ELEMENTS IN STAR EVENTS OVER EACH ONE OF K0 SEPARATE COLUMNS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON THE FREQUENCY OR RELATIVE FREQUENCY OF OCCURRENCE OF ELEMENTS IN EACH ONE OF THE K0 SEPARATE COLUMNS OF BASE.INP. A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3652 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). STAT3652 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. STAT3652 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3652 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. ( 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. STAT3656 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 STAT3656 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3656, 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. STAT3656 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3656 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. THE WEIGHTS IN WT(L).INP ARE GENERATED BY STAT3250 AS WT(L).OUT. THE PERMUTATION IN PERM.INP IS GENERATED BY STAT3246 AS PERM.OUT. ========================================================================= -- L 3657 -- ( DETERMINING THE VISITATION RATE TO A WEBLOG IN VISITS PER HOUR ) STAT3657 DETERMINES THE VISITATION RATE TO A WEB LOG IN VISITS (PER HOUR) BASED UPON TWO VECTORS BASED UPON N1 AND N2 , AND THE REAL-VALUED ELAPSED TIME (IN HOURS), DELTA_T, BETWEEN N1 AND N2, WHERE N1 AND N2 ARE THE INITIAL AND FINAL STAT COUNTS, RESPECTIVELY, FOR THE NUMBER OF VISITORS TO THE WEB LOG EXEC-U-NET SERVICES KALIEDOSCOPE. THE ROUTINE THEN TACITLY COMPUTES THE VALUES X AND Y, WITH X = (N2-N1) / (DELTA_T) AND Y = (24 * X1) , WHERE Y IS THE COMPUTED MEAN NUMBER OF VISITS PER DAY (I.E., 24 HRS.). ========================================================================= -- L 3658 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED ( BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS BY SELECTING EITHER PAIRS OR TRIADS OF ELEMENTS FROM BIPARTITE PAIRS OF EVENTS IN THE INITIAL BLOCK ) STAT3658 READS A (BMAX x K0)-DIMENSIONAL MATRIX FROM STAT3658.INP FROM WHICH K0-ELEMENT EVENTS ARE GENERATED BY THE SELECTION OF EITHER PAIRS OR TRIADS OF ELEMENTS FROM BIPARTIE EVENTS. GENERATED K0-ELEMENT EVENTS ARE RECORDED IN STAT3658.OUT FOR FURTHER ANALYSIS. STAT3658.INP MAY BE GENERATED BY STAT3246 AS CUMULAT.OUT, BY STAT3269 AS STAT94.INP, BY STAT3288 AS STAT94.INP OR ANOTHER ROUTINE. ========================================================================= -- L 3659 -- ( GENERATING BI-PARTITE K0-ELEMENT EVENTS VIA PAIR-WISE HELIX CONFIGURATIONS FROM SCROLLING TRIADS OF EVENTS ) STAT3659 READS A (BMAX x K0)-DIMENSIONAL MATRIX FROM STAT3659.INP FROM WHICH BI-PARTITE K0-ELEMENT EVENTS ARE GENERATED BY THE SELECTION OF PAIR-WISE HELIX CONFIGURATIONS FROM SCROLLING TRIADS OF EVENTS. K0-ELEMENT EVENTS ARE RECORDED IN STAT3659.OUT FOR FURTHER ANALYSIS. STAT3659.INP MAY BE GENERATED BY STAT3269 AS STAT94.INP, BY STAT3288 AS STAT94.INP OR ANOTHER ROUTINE. A CUMULATIVE FILE OF GENERATED EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT3658 AND STAT3660. ========================================================================= -- L 3660 -- ( GENERATING BI-PARTITE K0-ELEMENT EVENTS VIA PAIR-WISE DIAGONAL CONFIGURATIONS FROM SCROLLING PAIRS OF EVENTS ) STAT3660 READS A (BMAX x K0)-DIMENSIONAL MATRIX FROM STAT3660.INP FROM WHICH BI-PARTITE K0-ELEMENT EVENTS ARE GENERATED BY THE SELECTION OF PAIR-WISE DIAGONAL CONFIGURATIONS FROM SCROLLING PAIRS OF EVENTS. A SEQUENCE OF HIGH-PROBABILITY RED BALL OR BONUS ELEMENTS FOR COLUMN 6 ARE READ FROM PERM.INP (GENERATED VIA STAT3250). THESE ELEMENTS ARE SUBSTITUTED FOR EXISTING COLUMN 6 BONUS ELEMENTS. K0-ELEMENT EVENTS ARE RECORDED IN STAT3660.OUT FOR FURTHER ANALYSIS. STAT3660.INP MAY BE GENERATED BY STAT3269 AS STAT94.INP, BY STAT3288 AS STAT94.INP OR ANOTHER ROUTINE. A CUMULATIVE FILE OF GENERATED EVENTS IS RECORDED IN CUMULAT.OUT. CF. ALSO STAT3658 AND STAT3659. ========================================================================= -- L 3661 -- ( GENERATING K0-ELEMENT EVENTS VIA PAIR-WISE RANGES OF ELEMENTS DETERMINED BY A FIXED ALGORITHM ) STAT3661 READS TWO SEPARATE INTEGER RANGES [ J1,J2 ] AND [ K1,K2 ], FROM WHICH K0-ELEMENT EVENTS [ N1, N2, N3, N4, N5, N6 ] ARE GENERATED BY THE ALGORITHM (FOR M1 = J1,...,J2 AND Q0 = K1,...,K2): N1 = M1 , N2 = M1+Q0, N3 = M1+2Q0, N4 = M1+3Q0, N5 = N2+N3, AND N6 = P(L), (L= 1, ... ,PELTS) , RECORDED IN STAT3661.OUT. ========================================================================= -- L 3662 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT OF STAT2343 ) X COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 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. STAT3662 IS A VARIANT STAT1030 AND STAT3149, ANALYZING K0-ELEMENT TEST EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3662 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. STAT3662 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3662.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. STAT3662 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. THE ANALYST ENTERS A DESIRED MIN. VALUE MIN_ZDEL FOR ZDEL ; WHERE ZDEL = NZ0 - JCAD ; NZ0 = # TRAILING RIGHT 0"s AND JCAD = THE OCCURRENCE CADENCE FOR # 1"s IN THE LEFT TAIL. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. STAT3610. ========================================================================= -- L 3663 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT OF STAT2343 AND STAT3662 ) STAT3663 READS AN ARBITRARY SEQUENCE OF Q0-ELEMENT PERMUTATIONS FROM PERM.INP (GENERATED FROM STAT2349 AS PERM.OUT) AND GENERATES, FOR EACH PERMUTATION, A COMPLETE SET OF ALL [ Q0 C K0 ] K0-ELEMENT EVENTS AND READS A SEQUENCE OF K0-ELEMENT STAR EVENTS FROM BASE.INP. UTILIZING A GEOMETRIC PDF, STAT3663 DETERMINES THE PROBABILITY OF SUCCESS ON THE NEXT TRIAL FOR EACH GENERATED TEST EVENT, FILTERS ALL EVENTS HAVING A PROBABILITY EXCEEDING OR EQUAL TO SOME SELECTED REAL VALUE IN THE INTERVAL [ 0.0,1.0 ], AND GENERATES A MONITOR MATRIX REFLECTING THE OCCURRENCE CADENCES AND PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3663 IS A VARIANT OF STAT3662 AND STAT2343, ANALYZING K0-ELEMENT EVENTS RATHER THAN PERMUTATIONS, WITH EVENTS FILTERED FROM SUB-BLOCKS OF SIZE 1. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3663 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. STAT3663 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3663.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. THE ANALYST ENTERS A DESIRED MIN. VALUE MIN_ZDEL FOR ZDEL ; WHERE ZDEL = NZ0 - JCAD ; NZ0 = # TRAILING RIGHT 0"s AND JCAD = THE OCCURRENCE CADENCE FOR # 1"s IN THE LEFT TAIL. A CUM. FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. STAT3663 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. THE ANALYST ENTERS A DESIRED MIN. VALUE MIN_ZDEL FOR ZDEL ; WHERE ZDEL = NZ0 - JCAD ; NZ0 = # TRAILING RIGHT 0"s AND JCAD = THE OCCURRENCE CADENCE FOR # 1"s IN THE LEFT TAIL. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. STAT2343. ========================================================================= -- L 3664 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION ) ( VARIANT OF STAT3246 ) READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > DETERMINES A (0,1) - OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3664 IS A VARIANT OF STAT3246 AND STAT3476. HOWEVER, ELEMENTS ARE RANKED IN BOTH PERM.OUT AND PERM5.OUT IN ASCENDING ORDER OF TTMAX(L) = NZ0(L)) - OIF(L), WHERE NZ0(L) IS THE NUMBER OF RIGHT-TAIL [0]"S AND OIF(L) IS THE OCCURRENCE CADENCE OR ODDS IN FAVOR OF L FOR EACH ELEMENT L. 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. STAT3664 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). STAT3664 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. STAT3664 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3664 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. ========================================================================= -- L 3665 -- ( GENERATING K0-ELEMENT TEST EVENTS FROM SELECTED BIPARTITE PAIRS OF SUBSTRINGS OF ELEMENTS FROM A FIXED Q0-ELEMENT PERMUTATION BY THE SELECTION OF L_C_2 ELEMENTS FROM ONE SUBSTRING AND M_C_4 ELEMENTS FROM THE SECOND SUBSTRING IN EITHER ORDER OR, ALTERNATIVELY, BY THE SELECTION OF N_C_3 ELEMENTS FROM THE FIRST SUBSTRING AND L_C_3 ELEMENTS FROM THE SECOND SUBSTRING ) STAT3665 READS A Q0-ELEMENT PERMUTATION FROM PERM.INP, (PRE-GENERATED BY STAT3664 AS PERM.OUT TO BE UTILIZED BY STAT3665) AND GENERATES A SEQUENCE OF K0-ELEMENT TEST EVENTS FROM USER-SELECTED BIPARTITE PAIRS OF SUBSTRINGS OF ELEMENTS FROM PERM.INP BY THE SELECTION OF L_C_2 ELEMENTS FROM ONE SUBSTRING AND M_C_4 ELEMENTS FROM THE SECOND SUBSTRING IN EITHER ORDER OR, ALTERNATIVELY, BY THE SELECTION N_C_3 ELEMENTS FROM ONE SUBSTRING AND L_C_3 ELEMENTS FROM THE SECOND SUBSTRING. ========================================================================= -- L 3666 -- ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM PERMUTATIONS OF SIZE n ) II READS A SEQUENCE OF PNUM PERMUTATIONS OF VARYING SIZES AND GENERATES ALL POSSIBLE ( n C k0 ) k0-ELEMENT EVENTS FROM EACH PERMUTATION OF SIZE n , WHERE K0 AND n ARE POSITIVE INTEGERS, k0 < n < 81. MOREOVER, THE ROUTINE FILTERS THE GENERATED EVENTS, BY SELECTING EVENTS FROM THE SEQUENCE WITH INDICES CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, OF THE FORM < M1, M2, M3, M4, M5, M6, M7, M8, M9, M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED INTEGERS M1, M2, ... , M10. STAT3666 IS A VARIANT OF STAT543, BUT EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY THAT ALL ELEMENTS WILL OCCUR SIMULTANEOUSLY ON THE NEXT TRIAL, BASED UPON DATA GENERATED BY STAT3246 IN PERM.OUT AND, SUBSEQUENTLY, UTILIZED BY STAT3666 AS PERM.INP. THE RESULTS ARE RECORDED IN STAT94.INP FOR FURTHER ANALYSIS. CF. STAT1401 AND STAT2233. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS THEN GENERATED INTO SET3.OUT. [*]-QUALIFYING EVENTS ARE FILTERED INTO STAT94.IN2. CF. STAT64 FOR GENERATION OF PERM.INP. CF. STAT1401, STAT2144. STAT2144, STAT2213 AND STAT2233. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO STAT94.IN2. CF. ALSO STAT1365, STAT1401, STAT1781, STAT1828, STAT2248, STAT2250, AND STAT2312. CF. ALSO STAT1616, STAT2223, AND STAT2501. CF. PERM.OUT FOR ALTERNATING VALUES OF P(J) (+/-) 1 , J=1,ENUM(I). ========================================================================= -- L 3667 -- ( GENERATING 4 COVERING SUB-PERMUTATIONS OF SELECTED SIZES FROM EACH PERMUTATION OF SIZE Q0 IN A FIXED BLOCK OF INPUT PERMUTATIONS ) STAT3667 READS A BLOCK OF PERMUTATIONS OF SIZE Q0 FROM PERM.INP. FOUR COVERING SUB-PERMUTATIONS OF DESIRED SIZES ARE GENERATED FROM EACH INPUT PERMUTATION AND RECORDED INTO PERM.OUT. STAT3667 IS A VARIANT OF STAT3630. CF. ALSO STAT408, STAT427, STAT428, STAT429, AND STAT301A. ========================================================================= -- L 3668 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS XII ( VARIANT OF STAT3385, STAT3269, STAT3383, AND STAT3384 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES ) ( PERMUTATION VERSION OF STAT3669 ) 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 AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS BETWEEN EVENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3668 IS A VARIANT STAT3385, ANALYZING EVENTS WITH EVENTS FILTERED FROM INTO STAT94.INP, STAT94.IN2, AND STAT94.IN3. A GEOMETRIC DISTRIBUTION DETERMINES AND FILTERS [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3668 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. STAT3668 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3668.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF MDELTA = RHS - LHS , WHERE RHS = # RIGHT TRAILING [0]"S AND LHS = # OF LEFT PRECEEDING [0]"S WRT A SUCCESSFUL INDEX OVER JMAX STAR EVENTS WITH INTERSECTION CARDINALITY IN INTERVAL [ M1,M2]. 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. STAT3668 IS A DERIVATIVE AND VARIANT OF STAT2343 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3668 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3668, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3269 FOR THE TEST EVENT VERSION OF STAT3668. CF. STAT3398 FOR THE GENERATION OF PERM.INP AS PERM.OUT. ========================================================================= -- L 3669 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS XII ( VARIANT OF STAT3668, STAT3269, STAT3383, AND STAT3384 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES ) ( TEST EVENT VERSION OF STAT3668 ) READS AN ARBITRARILY LARGE BLOCK OF EVENTS FROM STAT3669.INP ON < 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 AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS BETWEEN EVENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3669 IS A VARIANT OF STAT3668, ANALYZING EVENTS WITH EVENTS FILTERED INTO STAT94.INP, STAT94.IN2, AND STAT94.IN3. A GEOMETRIC DISTRIBUTION DETERMINES AND FILTERS [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3669 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. STAT3669 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3669.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF MDELTA = RHS - LHS , WHERE RHS = # RIGHT TRAILING [0]"S AND LHS = # OF LEFT PRECEEDING [0]"S WRT A SUCCESSFUL INDEX OVER JMAX STAR EVENTS WITH INTERSECTION CARDINALITY IN INTERVAL [ M1,M2]. 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. STAT3669 IS A DERIVATIVE AND VARIANT OF STAT2343 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3669 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3669, 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. STAT3268 FOR THE PERMUTATION VERSION OF STAT3669. ========================================================================= -- L 3670 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS XII ( VARIANT AND HYBRID OF STAT3385 AND STAT1033 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES ) 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 AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS BETWEEN EVENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3670 IS A VARIANT AND HYBRID OF STAT3385 AND STAT1033, FILTERING EVENTS INTO STAT94.INP, STAT94.IN2, AND STAT94.IN3. A GEOMETRIC DISTRIBUTION DETERMINES AND FILTERS [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3670 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. STAT3670 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3670.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3670 IS A DERIVATIVE AND VARIANT OF STAT2343 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3670 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3670, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3269 FOR THE TEST EVENT VERSION OF STAT3670. CF. STAT3398 FOR THE GENERATION OF PERM.INP AS PERM.OUT. A TRANSLATED SEQUENCE OF K0-ELEMENT EVENTS IS RECORDED IN STAT94.IN2 VIA STAT94.INP AND A TRANSLATION VECTOR OF STAT3670.IN2. ========================================================================= -- L 3671 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS XIII ( VARIANT AND HYBRID OF STAT3670, STAT3385 AND STAT1033 ) (TEST EVENT VERSION OF STAT3670) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES ) READS A LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT3671.INP ON < 1,...,L0>, RATHER THAN AN L0-PERMUTATION FROM PRM.INP, AND DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT VS. A BASE SET OF STAR EVENTS IN BASE.INP, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS BETWEEN EVENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3671 IS A VARIANT AND HYBRID OF STAT3670, STAT3385 AND STAT1033, FILTERING INTO STAT94.INP, STAT94.IN2, AND STAT94.IN3. A GEOMETRIC DISTRIBUTION DETERMINES AND FILTERS [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3671 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. STAT3671 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3671.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3671 IS A DERIVATIVE AND VARIANT OF STAT2343 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3671 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3671, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3269 FOR THE TEST EVENT VERSION OF STAT3671. A TRANSLATED SEQUENCE OF K0-ELEMENT EVENTS IS RECORDED IN STAT94.IN2 VIA STAT94.INP AND A TRANSLATION VECTOR OF STAT3671.IN2. ========================================================================= -- L 3672 -- MONITOR MATRIX GENERATOR XXXIII FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS STAT3672 READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS IN T = < 1, 2, ... , L0 > , DETERMINING A (0,1)-OCCURRENCE CADENCE MATRIX FOR EACH ONE OF THE L0 ELEMENTS OF THE SET T, THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A PROJECTED SEQUENCE OF ELEMENTS FROM T IN PERM.INP WHICH ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT OF BASE.INP. STAT3672 IS A VARIANT OF STAT1033, ANALYZING EACH FIXED ELEMENT SATISFYING NZEROS IN THE INTERVAL [ 0,KKCT ] WHERE 1/KKCT IS THE OCCURRENCE CADENCE FOR SUCCESS OVER [1,JMAX], BASED UPON WHETHER OR NOT THE ELEMENT L HAS OCCURRED OVER THE LAST K EVENTS, WHERE THE FREQUENCY CADENCE OF ELEMENT L IS ( 1 / K ) . STAT3672 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. [*]-QUALIFYING ELEMENTS ARE RECORDED IN PERM.INP. ========================================================================= -- L 3673 -- ( PREDICTING FUTURE OCCURRENCE ODDS FOR A SEQUENCE OF ELEMENTS, , L = 1, 2, ... , L0 ) (QUALIFYING SINGLE ELEMENTS VIA A GEOMETRIC OR NEGATIVE BINOMIAL PDF) ( VARIANT OF STAT3613 ) STAT3673 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A SEQUENCE OF L0 ELEMENTS , L = 1, 2, ... , L0. THE ROUTINE FILTERS A SEQUENCE OF K0-ELEMENT EVENTS OF BLOCK-SIZE 1. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF ELEMENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED TEST EVENT. THE ROUTINE STAT3673 FILTERS ELEMENTS INTO PERM.OUT AND PERM2.OUT. STAT3673 IS A VARIANT OF STAT3613. HOWEVER, A BLOCK OF COMPUTED TMAX VALUES IS GENERATED INTO STAT3674.INP FOR FURTHER ANALYSIS IN STAT3674, FOR JJJJ = 1,IBAC, AND L = 1,L0. ELEMENT INTERSECTIONS VS. STAR EVENTS ARE USED IN SELECTING QUALIFYING ELEMENTS OVER ALL STAR EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT3673 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT3673 USES A SEQUENCE OF CONSECUTIVE INDICES VS. DELTA TO GENERATE THE SPECTRUM OF ELEMENTS WHOSE VALUES OF DELTA MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL, WHERE DELTA = IMAX - ( H(II)+MOD(H(II),KCT) ). CF STAT1504. CF. STAT1619, WHICH IS A PERMUTATION VERSION OF STAT3673. CF. ALSO STAT2383. CF. ALSO STAT1654. [*]-QUALIFYING ELEMENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY FOR EACH VALUE OF TMAX, WHERE NTMAX = TMAX - KCT. CF. ALSO STAT1631. ELEMENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL VIA EITHER A GEOMETRIC OR NEGATIVE BINOMIAL PDF. CF. ALSO STAT1619, STAT3612, AND STAT3576. A CUMULATIVE FILE OF RANKED [*]-QUALIFYING TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3674 -- ( GENERATING A SINGLE HIGH-PROBABILITY PERMUTATION FROM A FIXED ( BMAX x L0 ) - DIMENSIONAL BLOCK OF < TMAX(L) > SEQUENCES, L = 1, ... , L0 ) ( VARIANT AND HYBRID OF STAT3673 AND STAT3613) STAT3674 READS A ( BMAX x L0 ) - DIMENSIONAL BLOCK OF , SEQUENCES FROM STAT3674.INP (GENERATED BY STAT3673 FROM IMAX K0-ELEMENT STAR EVENTS). THE ROUTINE THEN GENERATES A Q0-ELEMENT PERMUTATION OF UNIQUE HIGH-PROBABILITY ELEMENTS BASED UPON AN INTERNAL ALGORITHM, PROCESSING STAT3674.INP. AN ELEMENT L IS SELECTED FROM BLOCK J IFF THE INDEX OF L IN BLOCK J HAS A TMAX VALUE , TMAX(L) = J , FOR J = 1, ... , NBLOCKS AND L = 1 , ... , L0. THE GENERATED PERMUTATION IS RECORDED IN PERM.INP FOR FURTHER ANALYSIS. ========================================================================= -- L 3675 -- MONITOR MATRIX GENERATOR XXIX FREQUENCY COUNTS FOR A SEQUENCE OF ELEMENTS < 1 , 2, ... , L0 > VS. A SEQUENCE OF STAR EVENTS ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT VIA A GEOMETRIC DISTRIBUTION FUNCTION OVER EACH ONE OF K0 SEPARATE COLUMNS ) ( VARIANT OF STAT3250 ) 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. STAT3675 IS A VARIANT OF STAT3250, ANALYZING L0 ELEMENTS IN STAR EVENTS OVER EACH ONE OF K0 SEPARATE COLUMNS VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS, BASED UPON THE GEOMETRIC PROBAILITY DISTRIBUTION DETERMINING THE Pr(EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT). A DETERMINED THRESHOLD VALUE, M0, BASED UPON STAR EVENT INDEXES. STAT3675 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). STAT3675 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. STAT3675 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS. SIGNIFICANTLY, STAT3675 GENERATES PERM.OUT AND PERM2.OUT FOR PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013, STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L, WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT. ( AND FOR EACH ELEMENT IN AN (IMAX x K0)- DIMENSIONAL MATRIX OF STAR EVENT ELEMENTS. A FILE OF TYPES OVER ALL K0-COLUMNS IS RECORDED IN STAT3436.INP FOR FURTHER ANALYSIS BY STAT3436. IMAX HAS AN UPPER BOUND VALUE OF 600. STAT3678 IS A VARIANT OF STAT2748. STAT3678 ANALYZES ELEMENTS BY THE CHARACTERISTICS: UDE ====> UNITS DIGIT IS EVEN UDO ====> UNITS DIGIT IS ODD L ====> ELEMENT IS LOW (.LE. L0/2) H ====> ELEMENT IS HIGH (.GT. L0/2) TDE ====> TENS DIGIT IS EVEN TDO ====> TENS DIGIT IS ODD UDLE4 ====> UNITS DIGIT IS .LE. 4 UDGT4 ====> UNITS DIGIT IS .GT. 4 ========================================================================= -- L 3679 -- ( FILTERS A SEQUENCE OF K0-ELEMENT TEST EVENTS FROM A FIXED V0-ELEMENT PERMUTATION FOR WHICH THE ELEMENT-TYPE CONFIGURATION MATCHES A PRESCRIBED NUMBER OF TYPE CONFIGURATIONS RECORDED IN A FIXED VECTOR, PREVIOUSLY GENERATED VIA STAT3436 AND STAT3260 ) ( VARIANT AND INPUT PERMUTATION OF STAT3678 AND STAT3439 ) STAT3679 READS A FIXED V0-ELEMENT PERMUTATION FROM PERM.INP AND A FIXED VECTOR OF K0-ELEMENT TYPE CONFIGURATIONS FROM STAT3679.IN2, PRE-GENERATED VIA STAT3436 AND STAT3260, FILTERING [*]-QUALIFYING TEST EVENTS WITH A PRESSCRIBED NUMBER OF ELEMENT-TYPE CONFIGURATIONS MATCHING THOSE IN THE K0-ELEMENT VECTOR. CF. STAT3436 AND STAT3260 FOR A COMPLETE EXAMINATION OF THE SALIENT CONFIGURATIONS, CONSISTING OF QUADRUPLE COMBINATIONS OF TYPES DETERMINED FROM THE 8 PAIRS : 1) UDE 2) UDO 3) LOW 4) HIGH 5) TDE, 6) TDO, 7) UDLE4 , AND 8) UDGT4 FOR EACH ELEMENT L IN THE SEQUENCE < 1, 2, ... , L0 > AND FOR EACH ELEMENT IN AN (IMAX x K0)- DIMENSIONAL MATRIX OF STAR EVENT ELEMENTS. A FILE OF TYPES OVER ALL K0-COLUMNS IS RECORDED IN STAT3436.INP FOR FURTHER ANALYSIS BY STAT3436. IMAX HAS AN UPPER BOUND VALUE OF 600. PERM.INP MAY BE GENERATED BY STAT3246 AS PERM.OUT FOR STAT3679. STAT3679 IS A VARIANT OF STAT3678 AND ANALYZES ALL ELEMENTS BY THE CHARACTERISTICS: UDE ====> UNITS DIGIT IS EVEN UDO ====> UNITS DIGIT IS ODD L ====> ELEMENT IS LOW (.LE. L0/2) H ====> ELEMENT IS HIGH (.GT. L0/2) TDE ====> TENS DIGIT IS EVEN TDO ====> TENS DIGIT IS ODD UDLE4 ====> UNITS DIGIT IS .LE. 4 UDGT4 ====> UNITS DIGIT IS .GT. 4 ========================================================================= -- L 3680 -- ( GENERATES ALL [ n C k0 ] k0-ELEMENT EVENTS FROM A ( K0 x ENUM(I) )- DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS, OVER K0 FIXED ROWS FROM AND FILTERS A SEQUENCE OF K0-ELEMENT TEST EVENTS FROM PERM.INP AND ANLYZES K0-ELEMENT EVENTS FOR WHICH THE ELEMENT-TYPE CONFIGURATION MATCHES A PRESCRIBED NUMBER OF TYPE CONFIGURATIONS RECORDED IN A FIXED VECTOR, PREVIOUSLY GENERATED VIA STAT3436 AND STAT3260 ) ( VARIANT AND HYBRID OF STAT3679 AND STAT3288 ) AFTER READING A FIXED ( K0 x ENUM(I))-BLOCK FROM PERM.INP, STAT3680 GENERATES ALL [ n C k0 ] k0-ELEMENT EVENTS FROM THE FIXED DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS, OVER K0 FIXED ROWS. THE ROUTINE RANKS K0-ELEMENT EVENTS FROM THE GENERATED SEQUENCE AND A FIXED VECTOR OF K0-ELEMENT TYPE CONFIGURATIONS FROM STAT3680.IN2, PRE-GENERATED VIA STAT3436 AND STAT3260, FILTERING [*]-QUALIFYING TEST EVENTS WITH A PRESSCRIBED NUMBER OF ELEMENT-TYPE CONFIGURATIONS MATCHING THOSE IN THE K0-ELEMENT VECTOR. CF. STAT3436 AND STAT3260 FOR A COMPLETE EXAMINATION OF THE SALIENT CONFIGURATIONS, CONSISTING OF QUADRUPLE COMBINATIONS OF TYPES DETERMINED FROM THE 8 PAIRS : 1) UDE 2) UDO 3) LOW 4) HIGH 5) TDE, 6) TDO, 7) UDLE4 , AND 8) UDGT4 FOR EACH ELEMENT L IN THE SEQUENCE < 1, 2, ... , L0 > AND FOR EACH ELEMENT IN AN (IMAX x K0)- DIMENSIONAL MATRIX OF STAR EVENT ELEMENTS. A FILE OF TYPES OVER ALL K0-COLUMNS IS RECORDED IN STAT3436.INP FOR FURTHER ANALYSIS BY STAT3436. IMAX HAS AN UPPER BOUND VALUE OF 600. PERM.INP MAY BE GENERATED BY STAT3250 AS PERM.INP FOR STAT3680. STAT3680 IS A VARIANT OF STAT3678 AND ANALYZES ALL ELEMENTS BY THE CHARACTERISTICS: UDE ====> UNITS DIGIT IS EVEN UDO ====> UNITS DIGIT IS ODD L ====> ELEMENT IS LOW (.LE. L0/2) H ====> ELEMENT IS HIGH (.GT. L0/2) TDE ====> TENS DIGIT IS EVEN TDO ====> TENS DIGIT IS ODD UDLE4 ====> UNITS DIGIT IS .LE. 4 UDGT4 ====> UNITS DIGIT IS .GT. 4 ========================================================================= -- L 3681 -- ( GENERATING A (PNUM * QNUM)-ELEMENT PERMUTATION OF ELEMENTS FROM A SEQUENCE OF PERMUTATIONS CONSISTING OF TENS DIGITS AND A SEQUENCE OF PERMUTATIONS CONSISTING OF UNITS DIGITS ) STAT3681 READS A SEQUENCE OF PERMUTATIONS FROM PERMT.INP WHICH CONSISTS OF TENS DIGITS (GENERATED VIA STAT3634 AND STAT3260 AND A SEQUENCE OF PERMUTATIONS FROM PERMU.INP WHICH CONSISTS OF UNITS DIGITS (GENERATED VIA STAT3634 AND STAT3260). THE ROUTINE THEN GENERATES A SEQUENCE OF PERMUTATION CONSISTING OF OF ELEMENTS CONSTRUCTED FROM PERMT.INP AND PERMU.INP, RECORDED AS PERM.OUT FOR FURTHER ANALYSIS IN STAT3682 AS PERM.INP. ========================================================================= -- L 3682 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT AND HYBRID OF STAT2343 AND STAT3288 ) II READS A (K0 x F(I))-DIMENSIONAL BLOCK OF PERMUTATIONS FROM PERM.INP (PREDETERMINED AND GENERATED AS PERM.INP VIA STAT3250), AND GENERATES 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 VS. THE BASE SET, DETERMINES BOTH THE RELATIVE FREQUENCIES AND THE SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, WHILE ALSO TACITLY GENERATING A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3682 IS A VARIANT STAT2343 AND STAT3288, 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 STAT3682 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. STAT3682 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3682.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. STAT3682 IS THE TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 , STAT2606, AND STAT3149. THE FILE PERM.INP IS TACITYLY GENERATED FOR STAT3573. A CUMULATIVE FILE OF TEST EVENTS IS GENERATED AND RECORDED IN CUMULAT.OUT. CF. STAT3610. ========================================================================= -- L 3683 -- ( 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 ) STAT3683 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND A (BMAX x K0)-DIMENSIONAL BLOOCK OF TEST EVENTS FROM STAT3683.INP. EACH ONE OF THE COLUMNS OF STAT3683 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. STAT3683.INP MAY BE BASE.INP OR GENERATED BY STAT3435 AS STAT3683.INP. STAT3683 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. STAT3683 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. STAT3683 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 STAT3683.INP FOR FURTHER ANALYSIS IN STAT3260 AS STAT3260.INP. ========================================================================= -- L 3684 -- ( INTERSECTING BINARY ARRAYS ) I ( VARIANT OF STAT3685 AND 2ND PERMUTATION VERSION OF STAT3683 ) STAT3684 READS A FIXED ( K0 x ENUM(I) ) - DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS (GENERATED BY STAT3250 AS PERM.OUT FOR USAGE IN STAT3684 AND OTHER ROUTINES), WHERE THE K0 ROWS ARE DISTINCT, AND FROM WHICH ALL POSSIBLE [ N C K0 ] K0-ELEMENT EVENTS ARE GENERATED), (4 x K0)-DIMENSIONAL BINARY INCIDENCE MATRIX IN STAT3684.IN2, GENERATED VIA USAGE OF STAT3436 AND STAT3260, AND UTILIZES SUBROUTINE BINMAT TO GENERATE A ( 4 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 MATCH FOR A MINIMUM PRESCRIBED NUMBER OF ELEMENTS, MINNCT, IN EACH BINARY ARRAY. GEMERATED [*]-QUALIFYING TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3684 IS A VARIANT OF STAT3685 AND A PERMUTATION VERSION OF STAT3683 (THE TEST EVENT VERSION). ========================================================================= -- L 3685 -- ( INTERSECTING BINARY ARRAYS ) STAT3685 READS A LARGE SET OF K0-ELEMENT EVENTS FROM STAT3685.INP AND A (5 x K0)-DIMENSIONAL BINARY INCIDENCE MATRIX IN STAT3685.IN2, GENERATED VIA USAGE OF STAT3436 AND STAT3260, AND UTILIZES SUBROUTINE BINMAT 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 MATCH FOR A MINIMUM PRESCRIBED NUMBER OF ELEMENTS, MINNCT, IN EACH BINARY ARRAY. GEMERATED [*]-QUALIFYING TEST EVENTS ARE RECORDED IN STAT94.INP. ========================================================================= -- L 3686 -- ( INTERSECTING BINARY ARRAYS ) III ( VARIANT AND HYBRID OF STAT3684 AND STAT3436 ) STAT3686 READS A FIXED ( K0 x ENUM(I) ) - DIMENSIONAL BLOCK OF PERMUTATION ELEMENTS (GENERATED BY STAT3250 AS PERM.OUT FOR USAGE IN STAT3686 AND OTHER ROUTINES), WHERE THE K0 ROWS ARE DISTINCT, AND FROM WHICH ALL POSSIBLE [ N C K0 ] K0-ELEMENT EVENTS ARE GENERATED), (4 x K0)-DIMENSIONAL BINARY INCIDENCE MATRIX IN STAT3686.IN2, GENERATED VIA USAGE OF STAT3436 AND STAT3260, AND UTILIZES SUBROUTINE BINMAT TO GENERATE A ( 4 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 MATCH FOR A MINIMUM PRESCRIBED NUMBER OF ELEMENTS, MINNCT, IN EACH BINARY ARRAY. GEMERATED [*]-QUALIFYING TEST EVENTS ARE RECORDED IN STAT94.INP. STAT3686 IS A VARIANT OF STAT3684 AND A PERMUTATION VERSION OF STAT3436 (WHICH GENERATES STAT3686.IN3. STAT3686 UTILIZES THE FILE STAT3686.IN3 (GENERATED BY STAT3436) AS AN INDEX SET TO SELECT ELEMENTS FROM THE ( K0 x ENUM(I)) - DIMENSIONAL BLOCK OF PERMUTATIONS IN PERM.INP TO GENERATE EVENTS , J = 1 , 2, ... , K0 . ========================================================================= -- L 3687 -- MONITOR MATRIX GENERATOR XXXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF Q0-ELEMENT PERMUTATIONS IX COMPARES A LARGE SET OF Q0-ELEMENT BLOCKS OF PERMUTATIONS WITH A BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH PERM PER BMAX-EVENT BLOCK IN VS. THE BASE SET, DETERMINES THE RELATIVE FREQUENCIES AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3687 IS A VARIANT STAT2349 AND STAT1032, ANALYZING Q0-ELEMENT PERMUTATIONS RATHER THAN TEST EVENTS, WITH PERMS FILTERED FROM SUB-BLOCKS OF SIZE BMAX. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3687 TACITLY EXAMINES THE LAST K FREQUENCY COUNTS, INSTEAD OF THE LAST JMAX FREQUENCY COUNTS, WHEN SELECTING [*]-QUALIFYING PERMS TO BE FILTERED, WHERE K IS A DETERMINED FREQUENCY CADENCE FOR 1 / K EVENTS. CF. STAT1031 AND STAT1036 FOR PERMUTATION REPLICAS. STAT3687 READS SUB-BLOCKS OF BMAX INPUT PERMUTATIONS FROM PERM.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING PERMS ARE FILTERED AND RECORDED IN PERM.OUT, RANKED IN DESCENDING ORDER OF INDEX DISPLACENT, IDELTA = MTC - IRATIO WHERE MTC = THE # OF TRAILING [0]"S AND IRATIO IS THE OCCURRENCE CADENCE FOR [1]"S VS. THE JMAX STAR EVENTS. STAT3687 IS THE PERMUTATION VERSION OF STAT2343. CF. STAT2405 FOR THE GENERATION OF K0-ELEMENT EVENTS FROM PERMUTATIONS. [*]-QUALIFYING PERMUTATIONS ARE ALSO RECORDED IN CUMULAT.OUT, RANKED IN DESCENDING ORDER OF GEOMETRIC PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL FOR THOSE EVENTS WHICH SATISFY THE CONDITION THAT D(JCT) = RNZ0 - LNZ0 = 0. ========================================================================= -- L 3688 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS ( VARIANT OF STAT2343 AND STAT3610 ) X COMPARES A LARGE SET OF K0-ELEMENT BLOCKS WITH A FINITE BASE SET OF ELEMENTS, DETERMINES THE NUMBER OF ELEMENTS IN EACH EVENT PER 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. STAT3688 IS A VARIANT STAT2343 AND STAT1030, 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 STAT3688 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. STAT3688 READS SUB-BLOCKS OF INPUT TEST EVENTS FROM STAT3688.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. STAT3688 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. [*]-QUALIFYING TEST EVENTS ARE ALSO RECORDED IN CUMULAT.OUT AND RANKED IN DESCENDING ORDER OF GEOMETRIC PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL FOR THOSE EVENTS WHICH SATISFY THE CONDITION THAT D(J) = RNZ0 (.LE. RNZ0_UB FOR SOME DESIRED UPPER BOUND, RNZ0_UB). CF. STAT3610. ========================================================================= -- L 3689 -- ( TRANSFORMING ALL POSSIBLE PAIRS OR TRIADS OF ELEMENTS OCCURRING IN A (BMAX x K0 )-DIMENSIONAL BLOCK OF EVENTS INTO A [ 0,1 ] - BINARY SEQUENCE FOR ANALYSIS IN STAT3260, STAT3608, OR STAT3615 ) ( VARIANT AND HYBRID OF STAT3683 AND STAT3436 ) STAT3689 READS A FIXED Q0-ELEMENT PERMUTATION IN PERM.INP AND READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. SUBSEQUENTLY, ALL POSSIBLE PAIRS OR TRIADS OF ELEMENTS OCCURRING IN BASE.INP ARE TRANSFORMED INTO A [ 0,1 ] - BINARY SEQUENCE, EACH ONE OF WHICH IS UTILIZED BY STAT3260 AS STAT3260.INP, TO ULTIMATELY DETERMINE THE PROBABILITY THAT EACH F(L) WILL OCCUR ON THE NEXT TRIAL, I.E., TRIAL IMAX+1. CF. STAT3260 STAT3683, STAT3436, AND STAT3435. ========================================================================= -- L 3690 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF K0-ELEMENT EVENTS XIII ( VARIANT OF STAT3689, STAT3385, AND STAT3384 ) ( UTILIZING A GEOMETRIC DISTRIBUTION TO DETERMINE PROBABILITIES ) 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 AND SUM OF RELATIVE FREQUENCIES OF COMMON ELEMENTS BETWEEN EVENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3690 IS A VARIANT STAT3689, ANALYZING EVENTS WITH EVENTS FILTERED FROM INTO STAT94.INP, STAT94.IN2, AND STAT94.IN3. A GEOMETRIC DISTRIBUTION DETERMINES AND FILTERS [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3690 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. STAT3690 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3690.INP AND UP TO 400 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3690 IS A DERIVATIVE AND VARIANT OF STAT2343 AND A TEST EVENT VERSION OF STAT2349. CF. STAT2349 FOR THE PERMUTATION VERSION. CF. ALSO STAT2514, STAT2604 STAT2606, STAT3149, STAT2343, AND STAT3251. CF. STAT3247 FOR A VERSION OF STAT3690 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3690, JDELTA IS TACITLY REQUIRED TO BE .GE. 0. CODE GREEN-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.INP. CODE RED-[*]-QUALIFYING TEST EVENTS ARE RANKED IN DESCENDING ORDER OF PROBABILITIES AND RECORDED IN STAT94.IN2. CF. STAT3269 FOR THE TEST EVENT VERSION OF STAT3690. CF. STAT3398 FOR THE GENERATION OF PERM.INP AS PERM.OUT. A TRANSLATED SEQUENCE OF K0-ELEMENT EVENTS IS RECORDED IN STAT94.IN2 VIA STAT94.INP AND A TRANSLATION VECTOR OF STAT3690.IN2. [*]-QUALIFYING TEST EVENTS ARE ALSO RECORDED IN CUMULAT.OUT AND RANKED IN DESCENDING ORDER OF GEOMETRIC PROBABILITY OF OCCURRENCE ON THE NEXT TRIAL FOR THOSE EVENTS WHICH SATISFY THE CONDITION THAT D(J) = RNZ0 ( .LE. RNZ0_UB, A SELECTED UPPER BOUND, RNZ0_UB ). CF. ALSO STAT3610. ========================================================================= -- L 3691 -- ( FILTERING EITHER A ( Q0 x 2 )-DIMENSIONAL MATRIX OF PAIRS OF ELEMENTS OR A ( Q0 x 3 )-DIMENSIONAL BLOCK OF TRIADS OF ELEMENTS AS A SEQUENCE OF UNIQUE OR NON-REPEATING PAIRS OR TRIPLES ) STAT3691 READS A FIXED ( Q0 x 2 )-DIMENSIONAL OR A ( Q0 x 3 )- DIMENSIONAL MATRIX OF PAIRS OR TRIADS OF ELEMENTS FROM STAT3691.INP, PRE-GENERATED BY STAT3260 AS STAT3260.OT2. EITHER MATRIX IS FILTERED AS A TRANSFORMED BLOCK OF UNIQUE OR NON-REPEATING PAIRS OR TRIPLES OF ELEMENTS AND RECORDED IN STAT3691.OUT. A COMPLEMENTARY BLOCK OF ELEMENTS IS GENERATED AND RECORDED IN STAT3691.OT2. CF. STAT3260 AND STAT3689. ========================================================================= -- L 3692 -- ( FILTERING EITHER A ( Q0 x 2 )-DIMENSIONAL MATRIX OF PAIRS OF ELEMENTS OR A ( Q0 x 3 )-DIMENSIONAL BLOCK OF TRIADS OF ELEMENTS AS A SEQUENCE OF UNIQUE OR NON-REPEATING PAIRS OR TRIPLES ) II ( INPUT FILE VARIANT OF STAT3691 ) STAT3692 READS A FIXED ( Q0 x 2 )-DIMENSIONAL OR A ( Q0 x 3 )- DIMENSIONAL MATRIX OF PAIRS OR TRIADS OF ELEMENTS FROM STAT3692.INP, PRE-GENERATED BY STAT3691 AS STAT3691.OUT OR STAT3691.OT2. EITHER MATRIX IS FILTERED AS A TRANSFORMED BLOCK OF UNIQUE OR NON-REPEATING PAIRS OR TRIPLES OF ELEMENTS AND RECORDED IN STAT3692.OUT A COMPLEMENTARY BLOCK OF ELEMENTS IS GENERATED AND RECORDED STAT3692.OT2. CF. STAT3260 AND STAT3689. STAT3692 IS A VARIANT OF STAT3691. HOWEVER, INPUT FILE STAT3692.INP IS GENERATED BY STAT3691, RATHER THAN BY STAT3260. ========================================================================= -- L 3693 -- ( GENERATING K0 PERMUTATIONS OF UNIQUE ELEMENTS FROM EACH ONE OF THE K0 SEPARATE COLUMNS OF A FIXED ( BMAX x K0)-DIMENSIONAL MATRIX OF ELEMENTS ) STAT3693 READS A FIXED ( BMAX x K0 )-DIMENSIONAL MATRIX OF ELEMENTS FROM STAT3693.INP ( PRE-GENERATED, E.G., AS BASE.INP ) AND UTILIZES THIS MATRIX TO GENERATE K0 PERMUTATIONS OF UNIQUE ELEMENTS FROM EACH ONE OF THE K0 SEPARATE COLUMNS IN STAT3693.INP. OUTPUT PERMUTATIONS ARE RECORDED IN PERM.INP FOR FURTHER ANALYSIS BY STAT3633, STAT3634, STAT3694, STAT3695, OR STAT3696 WITH EACH SEPARATE PERMUTATION, BEING READ AS PERM.INP IN EACH ROUTINE. CF. ALS0 STAT3436. ========================================================================= -- L 3694 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 4-ELEMENT EVENTS (QUADRUPLES) ( CASE: K0 = [5] or [6] , V1 = 4 ) XIV (VARIANT OF STAT3633, STAT3269, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF K0-ELEMENT EVENTS GENERATED FROM A FIXED PERMUTATION OF SIZE V0 READ FROM PERM.INP VS. A FINITE BASE SET OF STAR EVENTS READ FROM BASE.INP AND DETERMINES INSTERSECTION FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, GENERATING A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3694 IS A VARIANT STAT3631 AND STAT2343 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3694.INP. HOWEVER, STAT3694 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3694 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. STAT3694 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3694.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3694 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 STAT3694 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3694, 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. STAT3694 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3694 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3695 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 5-ELEMENT EVENTS (QUINTUPLES) ( CASE: K0 = [5] or [6] , V1 = 5 ) XIV (VARIANT OF STAT3633, STAT3269, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF K0-ELEMENT EVENTS GENERATED FROM A FIXED PERMUTATION OF SIZE V0 READ FROM PERM.INP VS. A FINITE BASE SET OF STAR EVENTS READ FROM BASE.INP AND DETERMINES INSTERSECTION FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, GENERATING A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3695 IS A VARIANT STAT3631 AND STAT2343 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3695.INP. HOWEVER, STAT3695 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3695 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. STAT3695 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3695.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3695 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 STAT3695 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3695, 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. STAT3695 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3695 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3696 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS (SEXTUPLES) ( CASE: K0 = [5] or [6] , V1 = 6 ) XVI (VARIANT OF STAT3695, STAT3269, STAT3419, STAT3469, STAT3487, STAT3491) ( UTILIZING EITHER A NEGATIVE BINOMIAL, POISSON OR GEOMETRIC PROBABILITY DISTRIBUTION TO DETERMINE PROBABILITIES ) COMPARES A COMPLETE SET OF K0-ELEMENT EVENTS GENERATED FROM A FIXED PERMUTATION OF SIZE V0 READ FROM PERM.INP VS. A FINITE BASE SET OF STAR EVENTS READ FROM BASE.INP AND DETERMINES INSTERSECTION FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, GENERATING A MONITOR MATRIX REFLECTING THE PATTERNS OF MATCHES FROM THE ABOVE SEQUENCE OF BASE SETS. STAT3696 IS A VARIANT STAT3695 AND STAT2343 AND STAT3247, ANALYZING K0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3696.INP. HOWEVER, STAT3696 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3696 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. STAT3696 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3696.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3696 IS A DERIVATIVE AND VARIANT OF STAT3695 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 STAT3696 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3696, 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. STAT3696 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3696 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3697 -- ( RE-ORDERING ELEMENTS OF F(J)-ELEMENT PERMUTATIONS IN DESCENDING ORDER OF GEOMETRIC PROBABILITY OF OCCURRING ON THE NEXT TRIAL ) STAT3697 READS A SEQUENCE OF K0 BASE PERMS OF VARIABLE SIZES N1,N2, ... , NK0 FROM STAT3697.INP AND AN ( L0 x K0 )-DIMENSIONAL MATRIX OF PROBABILITIES FROM WT(L).INP ( GENERATED BY STAT3250 AS WT(L).INP ). THE ROUTINE THEN RE-ORDERS THE ELEMENTS FROM EACH PERMUTATION OF PERM.INP IN DESCENDING ORDER OF PROBABILITY OF OCCURRING ON THE NEXT TRIAL, TO BE UTILIZED IN STAT201.INP, STAT361.INP, STAT368.INP, STAT3168, ET AL. ========================================================================= -- L 3698 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 3-ELEMENT EVENTS (TRIADS) ( CASE: K0 = [5] or [6] , V1 = 3 ) ( CLOSED INTERVAL VERSION OF STAT3633 ) (VARIANT AND HYBRID OF STAT3633) ( UTILIZING EITHER A GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON 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. STAT3698 IS A VARIANT STAT3633, ANALYZING CLOSED Q0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN DISCRETE SETS OF ELEMENTS FROM PERM.INP. HOWEVER, STAT3698 UTILIZES EITHER A GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON, PROBABILITY DISTRIBUTION TO TACITLY DETERMINE, AS WELL AS 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 STAT3698 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. STAT3698 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3698.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3698 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 STAT3698 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3698, 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. STAT3698 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3698 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3699 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 4-ELEMENT EVENTS (QUADRUPLES) ( CASE: K0 = [5] or [6] , V1 = 4 ) XIV (VARIANT AND HYBRID OF STAT3694) (CLOSED INTERVAL VERSION OF STAT3694) ( 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. STAT3699 IS A VARIANT, HYBRID, AND CLOSED INTERVAL VERSION OF STAT3694, GENERATING SUBSTRINGS FROM PERM.INP, RATHER THAN ARBITRARY SETS FROM PERM.INP. HOWEVER, STAT3699 UTILIZES EITHER A GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3699 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. STAT3699 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3699.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3699 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 STAT3699 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3699, 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. STAT3699 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3699 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3700 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 5-ELEMENT EVENTS (QUINTUPLES) ( CASE: K0 = [5] or [6] , V1 = 5 ) XIV ( VARIANT AND HYBRID OF STAT3695 ) ( CLOSED INTERVAL VERSION OF STAT3695 ) ( 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. STAT3700 IS A VARIANT AND HYBRID OF STAT3695, ANALYZING CLOSED INTERVAL SUBSTRINGS PERM.INP, RATHER THAN ARBITRARY DISCRETE SETS OF ELEMENTS FROM PERM.INP. HOWEVER, STAT3700 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3700 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. STAT3700 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3700.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3700 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 STAT3700 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3700, 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. STAT3700 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3700 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3701 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 6-ELEMENT EVENTS (SEXTUPLES) ( CASE: K0 = [5] or [6] , V1 = 6 ) XVI ( VARIANT AND HYBRID OF STAT3696 AND STAT3700 ) ( CLOSED INTERVAL VERSION OF STAT3696 ) ( 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. STAT3701 IS A VARIANT AND HYBRID OF STAT3696 AND STAT3700, ANALYZING CLOSED INTERVAL SUBSTRINGS FROM PERM.INP, RATHER THAN ARBITRARY DISCRETE ELEMENTS. HOWEVER, STAT3701 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3701 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. STAT3701 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3701.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3701 IS A DERIVATIVE AND VARIANT OF STAT3695 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 STAT3701 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3701, 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. STAT3701 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3701 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3702 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 3-ELEMENT EVENTS (TRIADS) ( CASE: K0 = [5] or [6] , V1 = 2 ) ( CLOSED INTERVAL VERSION OF STAT3634 ) (VARIANT AND HYBRID OF STAT3634 AND STAT3698 ) ( UTILIZING EITHER A GEOMETRIC, NEGATIVE BINOMIAL, OR POISSON 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. STAT3702 IS A VARIANT OF STAT3634 AND STAT3698, ANALYZING CLOSED Q0-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN DISCRETE SETS OF ELEMENTS FROM PERM.INP. STAT3702 UTILIZES EITHER A GEOMETRIC, NEGATIVE- BINOMIAL OR POISSON PROBABILITY DISTRIBUTION TO TACITLY DETERMINE, AS WELL AS 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 STAT3702 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. STAT3702 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3702.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3702 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 STAT3702 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3702, 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. STAT3702 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3702 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. ========================================================================= -- L 3703 -- ( RE-DEFINING A ( 5 x Q(J) ) - DIMENSIONAL BLOCK OF FIXED PERMUTATIONS BY ELIMINATING ELEMENTS ALREADY OCCURRING IN A PRECEDING PERMUTATION, WHILE LEAVING A 6TH PERMUTATION FIXED ) STAT3703 READS A ( K0 x Q(J) ) - DIMENSIONAL BLOCK OF FIXED PERMUTATIONS FROM PERM.INP AND RE-DEFINES THE BLOCK BY ELIMINATING ELEMENTS OCCURRING IN A PRECEDING PERMUTATION, WHILE LEAVING A / / 6TH PERMUTATION FIXED. THE RE-DEFINED BLOCK IS RECORDED AS PERM.OUT FOR FURTHER ANALYSIS. ========================================================================= -- L 3704 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 2-ELEMENT EVENTS (PAIRS) ( CASE: K0 = [5] or [6] , V1 = 2 ) X ( VARIANT OF STAT3633 OVER COLUMNS [ 1,2] U [3,4] U [5,6] ) ( 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. STAT3704 IS A VARIANT STAT3633, OVER COLUMNS [1,2] U [3,4] V [ 5,6], ANALYZING 2-ELT. SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3704.INP. HOWEVER, STAT3704 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3704 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. STAT3704 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3704.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3704 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 STAT3704 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3704, 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. STAT3704 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3704 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. A CUMULATIVE FILE OF [*]-QUALIFYING 2-ELEMENT STRINGS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3705 -- MONITOR MATRIX GENERATOR XXXXX FREQUENCY COUNTS FOR ELEMENTS IN A LARGE SEQUENCE OF 2-ELEMENT EVENTS (PAIRS) ( CASE: K0 = [5] or [6] , V1 = 3 ) XI ( VARIANT OF STAT3633 OVER COLUMNS [ 1,3] U [4,6] ) ( 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. STAT3705 IS A VARIANT STAT3633, OVER COLUMNS [1,3] U [4,6] , ANALYZING 3-ELEMENT SUBSTRINGS FROM PERM.INP, RATHER THAN K0-ELEMENT TEST EVENTS FROM STAT3705.INP. HOWEVER, STAT3705 UTILIZES EITHER A NEGATIVE BINOMIAL, POISSON, OR GEOMETRIC PROBABILITY DISTRIBUTION TO TACITLY DETERMINE AND FILTER [*]-QUALIFYING TEST EVENTS, I.E., EVENTS WHOSE PROBABILITY OF HAVING AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] VS. THE SEQUENCE OF STAR EVENTS IS IN SOME INTERVAL [ Q1,Q2 ]. IF THE EXPECTED FREQUENCY CADENCE = 1/K, THEN STAT3705 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. STAT3705 READS SUB-BLOCKS OF BMAX INPUT TEST EVENTS FROM STAT3705.INP AND UP TO 600 INPUT STAR EVENTS FROM BASE.INP. [*]-QUALIFYING EVENTS ARE FILTERED AND RECORDED IN STAT94.INP, RANKED IN DESCENDING ORDER OF IDELTA = 100 * Pr( EVENT E is [*]-Qualified ) <=========> Pr( EVENT E HAS AN INTERSECTION CARDINALITY IN THE INTERVAL [ M1,M2 ] ON TRIAL NUMBER JMAX+1, FOLLOWING THE FINAL STAR EVENT WITH INDEX JMAX. JDELTA IS REQUIRED TO BE .GE. 0 FOR EACH [*]-QUALIFIED FILTERED TEST EVENT. STAT3705 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 STAT3705 WHICH RANKS [*]-QUALIFYING EVENTS IN DESCENDING ORDER OF JDELTA = MTC - IRATIO. IN STAT3705, 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. STAT3705 GENERATES THE CRITICAL FILE STAT3525.INP FOR ANALYSIS IN STAT3525. CF. ALSO STAT3561 AND STAT3562. STAT3705 GENERATES BOTH THE FILES STAT3564.INP AND STAT3565.INP, IN A MANNER SIMILAR TO THAT OF STAT3475. A CUMULATIVE FILE OF [*]-QUALIFYING 2-ELEMENT STRINGS IS RECORDED IN CUMULAT.OUT. ========================================================================= -- L 3706 -- ( RE-ARRANGING Q0 UNIQUE ELEMENTS IN EACH K0-ELEMENT EVENT FROM A LARGE SEQUENCE IN LEXICOGRAPHIC (ASCENDING) ORDER AND APPENDING SEQUENTIAL RED BALL ELEMENTS TO EACH EVENT ) ( VARIANT OF STAT2803 ) II STAT3706 READS A LARGE SEQUENCE OF TEST EVENTS FROM STAT3706.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EVENTS FROM STAT3706.INP TRANSFORMED INTO UNIQUE ELEMENTS AND RE-ARRANGED IN LEXICOGRAPHIC (ASCENDING) ORDER IN STAT94.INP FOR FURTHER ANALYSIS. TEST EVENTS ARE FILTERED BY SELECTING TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1,M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). INPUT EVENTS FROM STAT2801.INP ARE, OPTIONALLY, INCLUDED AS OUTPUT EVENTS IN STAT3706.OUT. STAT3706 IS A VARIANT OF STAT2803. HOWEVER, IF K0 = 6, ELEMENTS IN COLUMN 6 ARE SEQUENTIALLY APPENDED (MOD V0) TO EACH THE K0-1 ELEMENTS OF EACH SEQENTIAL EVENT IN STAT94.INP, WHERE V0 IS THE MAXIMUM MODULUS OF THE ELEMENT IN COLUMN K0. CF. ALSO STAT2803. =========================================================================