= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2017 by James Ervin Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part III(a) ( STAT 300 ----> STAT 332 ) = = = = = = = = = = = = 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 300 ---> 332 * * * ====================================================================== -- L 300 -- READS TWO K0-ELEMENT EVENTS AND DETERMINES AVERAGES OF ALL POSSIBLE PAIRS OF ELEMENTS WITHIN EACH EVENT AND BETWEEN EVENTS. THE PROGRAM AUTOMATICALLY CHOOSES EVERY POSSIBLE PAIR OF ELEMENTS FROM THE TOP TWO GENERATED EVENTS IN FILE L295.OT7 AND L295.OT8 (LISTED IN L300.INP) TO GENERATE A SET OF HIGH-PROBABILITY ELEMENTS IN FILE PERM.INP. THE ANALYST IS QUERIED FOR A DESIRED, RESTRICTED NUMBER OF ELEMENTS TO BE GENERATED. ====================================================================== -- L 301A -- READS A SEQUENCE OF PERMUTATIONS AND FILTERS A SUBSEQUENCE FROM EACH PERMUTATION, WITH THE POSITION OF EACH CHOSEN ELEMENT DETERMINED BY INTEGERS CONGRUENT (MOD t) , FOR SOME INTEGER t , TO A SEQUENCE OF FIVE (NOT NECESSARILY DISTINCT) INTEGERS CHOSEN FROM AN INPUT FILE. A SEQUENCE OF STAR EVENTS IS READ, THE SUCCESSORS OF A SELECTED RANGE OF STAR EVENTS ARE INTERSECTED WITH EACH GENERATED PERMUTATION SUBSEQUENCE AND COMMON ELEMENTS ARE INDICATED. THE ROUTINE IS CYCLICAL AND IS AN EMBELLISHED VARIANT OF STAT256. ====================================================================== -- L 301 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A SEQUENCE OF NMAX+2 FINAL EVENTS, OVER THE IMAX STAR EVENTS, A NEW SEQUENCE OF NMAX+2 EVENTS, FOR i = 1 , ... , IMAX AND j = 1, ... , K0 , WHERE B(i,j) IS THE j-th ELEMENT OF THE i-th ROW OF THE GENERATED TEST SEQUENCE, REPRESENTING THE PREDICTED ELEMENT OF COLUMN j WHICH WILL PRESERVE THE MEAN OF COLUMN j, OVER NMAX+1 EVENTS, FOR UP TO 300 STAR EVENTS. A SEQUENCE OF NMAX+2 TEST EVENTS IS ALSO GENERATED BY ADDING K0 TRANSLATION PARAMETERS IN A TRANSLATION VECTOR TO THE K0 ELEMENTS OF EACH TEST EVENT. THE NUMBER OF ELEMENTS COMMON TO A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE A # OF ELEMENTS IN COMMON WITH THE FINAL EVENT EXCEEDING SOME DESIRED MINIMUM THRESHOLD. ============================================================================== -- L 302 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A SEQUENCE OF NMAX+2 FINAL EVENTS, OVER THE IMAX STAR EVENTS, A NEW SEQUENCE OF NMAX+2 EVENTS, FOR i = 1 , ... , IMAX AND j = 1, ... , K0 , WHERE B(i,j) IS THE j-th ELEMENT OF THE i-th ROW OF THE GENERATED TEST SEQUENCE, REPRESENTING THE PREDICTED ELEMENT OF COLUMN j WHICH WILL PRESERVE THE MEAN OF COLUMN j, OVER NMAX+1 EVENTS, FOR UP TO 300 STAR EVENTS. A SEQUENCE OF NMAX+2 TEST EVENTS IS ALSO GENERATED BY ADDING K0 TRANSLATION PARAMETERS IN A TRANSLATION VECTOR TO THE K0 ELEMENTS OF EACH TEST EVENT. THE NUMBER OF ELEMENTS COMMON TO A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE A # OF ELEMENTS IN COMMON WITH THE FINAL EVENT EXCEEDING SOME DESIRED MINIMUM THRESHOLD. ============================================================================== -- L 303 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, DETERMINES THE MEAN OF EACH OF THE K0 COLUMNS, PREDICTS A SEQUENCE OF NEW TEST EVENTS, B(i,j), FOR i = 1, 2, ... , NMAX AND j = 1, 2, ... , K0 , WHERE B(i,j) IS THE j-th ELEMENT OF THE i-th ROW OF THE NEWLY GENERATED TEST SEQUENCE, REPRESENTING THE PREDICTED ELEMENT OF COLUMN j WHICH WILL PRESERVE THE MEAN OF COLUMN j, OVER NMAX EVENTS, FOR UP TO 300 STAR EVENTS. FOR EACH COLUMN MEAN, M(j), AND EACH STAR EVENT (A(i,j),i=1, ... , NMAX AND j = 1, ... , K0 ), A(i,j) AND B(i,j) ARE RELATED BY: A(i,j) + B(i,j) = M(j) . THE NUMBER OF ELEMENTS IN COMMON TO AN EVENT SUCCEEDING A FINAL CHOSEN EVENT AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE EVENTS ARE IDENTIFIED WHICH HAVE A NUMBER OF ELEMENTS IN COMMON WITH THE FINAL EVENT EXCEEDING SOME DESIRED MINIMUM THRESHOLD. ============================================================================== -- L 304 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A SEQUENCE OF NMAX+2 FINAL EVENTS, OVER THE IMAX STAR EVENTS, A NEW SEQUENCE OF NMAX+2 EVENTS, FOR i = 1 , ... , IMAX AND j = 1, ... , K0 , WHERE B(i,j) IS THE j-th ELEMENT OF THE i-th ROW OF THE GENERATED TEST SEQUENCE, REPRESENTING THE PREDICTED ELEMENT OF COLUMN j WHICH WILL PRESERVE THE MEAN OF COLUMN j, OVER NMAX+1 EVENTS, FOR UP TO 300 STAR EVENTS. A SEQUENCE OF NMAX+2 TEST EVENTS IS ALSO GENERATED BY ADDING K0 TRANSLATION PARAMETERS IN A TRANSLATION VECTOR TO THE K0 ELEMENTS OF EACH TEST EVENT. THE NUMBER OF ELEMENTS COMMON TO A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE A # OF ELEMENTS IN COMMON WITH THE FINAL EVENT EXCEEDING SOME DESIRED MINIMUM THRESHOLD. A SEQUENCE OF GENERATED TRANSLATION VECTORS IS ALSO PRINTED. ============================================================================== -- L 305 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND GENERATES, FOR SEQUENCES OF KMAX EVENTS, A SET OF 2(IMAX-KMAX+1) MOVING AVERAGES FOR EACH OF THE K0 COLUMNS OF THE (IMAX x K0)-ELEMENT ARRAY OF EVENTS. THE ANALYST IS PROMPTED FOR THE DESIRED VALUE OF KMAX, AND MOVING AVERAGES ARE COMPUTED FOR THE IMAX ELEMENTS IN EACH OF THE K0 COLUMNS OF THE IMAX STAR EVENTS. MOVING AVERAGE ELEMENTS ARE ROUNDED UP EITHER UP OR DOWN, BY CHOICE, TO COMPLETE THE SEQUENCE, WHERE IMAX RANGES UP TO 500. ============================================================================== -- L 306 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND GENERATES, FOR SEQUENCES OF KMAX EVENTS, A SET OF 2(IMAX-KMAX+1) MOVING AVERAGES FOR EACH OF THE K0 COLUMNS OF THE (IMAX x K0)-ELEMENT ARRAY OF EVENTS. THE ANALYST IS PROMPTED FOR THE DESIRED VALUE OF KMAX, AND MOVING AVERAGES ARE COMPUTED FOR THE IMAX ELEMENTS IN EACH OF THE K0 COLUMNS OF THE IMAX STAR EVENTS. MOVING AVERAGE ELEMENTS ARE ROUNDED UP AND ROUNDED DOWN TO COMPLETE THE SEQUENCE, WHERE IMAX RANGES UP TO 300. ============================================================================== -- L 307 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND GENERATES A SEQUENCE OF (IBACK * (IBACK-1))/2 NEW EVENTS WHOSE ELEMENTS ARE THE AVERAGES, B(I,K,J), FOR EACH OF THE K0 COLUMNS, WHERE B(I,K,J) IS DEFINED AS (A(I,J) + A(K,J)) / XNUM , WHERE I = 1, 2, ... , IMAX-1, K = I+1, ... , IMAX AND J = 1, ... , K0 AND THE ELEMENTS A(I,J) DEFINE THE INPUT EVENTS FOR I = 1, ... , IMAX AND J = 1, ... , K0 . THE ANALYST IS PROMPTED FOR A DESIRED RESTRICTED FINAL EVENT, JMAX, AMONG THE IMAX INITIAL INPUT EVENTS, WHERE IMAX RANGES UP TO 30, AND IBACK IS THE DESIRED NUMBER OF EVENTS TO BACK-UP FROM EVENT JMAX. THE ANALYST IS ALSO PROMPTED FOR A DESIRED TRANSLATION FACTOR TO BE ADDED TO ELEMENTS OF SELECTED COLUMNS OF THE STAR EVENTS. THIS PROCESS IS REPEATED CYCLICALLY. ============================================================================== -- L 308 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND GENERATES A SEQUENCE OF (IBACK * (IBACK-1))/2 NEW EVENTS WHOSE ELEMENTS ARE THE AVERAGES, B(I,K,J), FOR EACH OF THE K0 COLUMNS, WHERE B(I,K,J) IS DEFINED AS (A(I,J) + A(K,J)) / XNUM , WHERE I = 1, 2, ... , IMAX-1, K = I+1, ... , IMAX AND J = 1, ... , K0 AND THE ELEMENTS A(I,J) DEFINE THE INPUT EVENTS FOR I = 1, ... , IMAX AND J = 1, ... , K0 . THE ANALYST IS PROMPTED FOR A DESIRED RESTRICTED FINAL EVENT, JMAX, AMONG THE IMAX INITIAL INPUT EVENTS, WHERE IMAX RANGES UP TO 30, AND IBACK IS THE DESIRED NUMBER OF EVENTS TO BACK-UP FROM EVENT JMAX. THE ANALYST IS ALSO PROMPTED FOR A DESIRED SEQUENCE OF K0 TRANSLATION FACTORS TO BE ADDED TO ELEMENTS OF EACH OF COLUMNS C1, C2, ... , CK0 , RESPECTIVELY. THIS PROCESS IS CYCLICALLY REPEATED. ============================================================================== -- L 309 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND GENERATES A SEQUENCE OF (IBACK * (IBACK-1))/2 NEW EVENTS WHOSE ELEMENTS ARE THE AVERAGES, B(I,K,J), FOR EACH OF THE K0 COLUMNS, WHERE B(I,K,J) IS DEFINED AS (A(I,J) + A(K,J)) / XNUM , WHERE I = 1, 2, ... , IMAX-1, K = I+1, ... , IMAX AND J = 1, ... , K0 AND THE ELEMENTS A(I,J) DEFINE THE INPUT EVENTS FOR I = 1, ... , IMAX AND J = 1, ... , K0 . THE ANALYST IS PROMPTED FOR A DESIRED RESTRICTED FINAL EVENT, JMAX, AMONG THE IMAX INITIAL INPUT EVENTS, WHERE IMAX RANGES UP TO 30, AND IBACK IS THE DESIRED NUMBER OF EVENTS TO BACK-UP FROM EVENT JMAX. THE ANALYST IS ALSO PROMPTED FOR A DESIRED TRANSLATION FACTOR TO BE ADDED TO ELEMENTS OF SELECTED COLUMNS OF THE STAR EVENTS. THIS PROCESS IS REPEATED CYCLICALLY. ADDS OR SUBTRACTS A DESIRED TRANSLATION FACTOR, J0, TO OR FROM EACH ELEMENT OF EACH K0-ELEMENT EVENT, DEPENDING UPON WHETHER OR NOT EACH ELEMENT IS CONGRUENT TO i (MOD j), WHERE i AND j ARE CHOSEN INTEGERS AND i IS AN ELEMENT OF A DESIRED VECTOR, , OF NOT NECESSARILY DISTINCT ELEMENTS. ============================================================================== -- L 310 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES ARE USED TO PREDICT THE NEXT THREE HIGHLY LIKELY EVENTS, ASSUMING THAT A CONSTANT AVERAGE IS MAINTAINED FOR EACH OF THE K0 COLUMNS OF THE INITIAL SEQUENCE. THE ELEMENTS OF THE FIRST PREDICTED EVENT ARE DETERMINED FROM THE COLUMN AVERAGES AND THE K0 ELEMENTS OF THE EVENT SUCCEEDING EVENT JMAX, WHILE THE ELEMENTS OF THE OTHER PREDICTED EVENTS ARE DETERMINED FROM COLUMN AVERAGES, ONLY. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX FOR UP TO 500 EVENTS. ============================================================================== -- L 311 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA, BETA, AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS GIVEN BY XNUM(M) = ALPHA + ( BETA * ( FLOAT(M) ) / 1000.0 ). THE K0 COLUMNS OF THE INITIAL SEQUENCE. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 500 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 1000. A SEQUENCE OF PERMUTATIONS REPRESENTING K0 COLUMNS IS ALSO GENERATED. ============================================================================== -- L 312 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA, BETA, AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS GIVEN BY XNUM(M) = ALPHA - ( BETA / FLOAT(M) ) THE K0 COLUMNS OF THE INITIAL SEQUENCE. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 500 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 1000. A SEQUENCE OF PERMUTATIONS REPRESENTING K0 COLUMNS IS ALSO GENERATED. ============================================================================== -- L 313 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA, BETA, AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS ONE OF A SEQUENCE OF INPUT VALUES XNUM(M), M = 1, 2, 3, ... , MNUM. WHERE THE VALUES OF XNUM(M) ARE READ FROM INPUT FILE STAT313.INP WITH FORMAT F11.4 FOR EACH OF THE MNUM VALUES. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 400 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 400. A SEQUENCE OF PERMUTATIONS REPRESENTING K0 COLUMNS IS ALSO GENERATED. ============================================================================== -- L 314 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA, BETA, AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS ONE OF A SEQUENCE OF INPUT VALUES XNUM(M), M = 1, 2, 3, ... , MNUM. WHERE THE VALUES OF XNUM(M) ARE READ FROM INPUT FILE STAT314.INP WITH FORMAT F11.4 FOR EACH OF THE MNUM VALUES. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 400 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 400. A SEQUENCE OF PERMUTATIONS REPRESENTING K0-BETA COLUMNS IS ALSO GENERATED, WITH EACH INDEX, L, OF G(L) CONGRUENT TO A SPECIFIED VALUE (MOD6) BEING TRANSLATED INTO THE ELEMENT G(L)+ALPHA. ============================================================================== -- L 315 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA, BETA, AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS ONE OF A SEQUENCE OF INPUT VALUES XNUM(M), M = 1, 2, 3, ... , MNUM. WHERE THE VALUES OF XNUM(M) ARE READ FROM INPUT FILE STAT315.INP WITH FORMAT F11.4 FOR EACH OF THE MNUM VALUES. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 400 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 400. A SEQUENCE OF PERMUTATIONS REPRESENTING K0-BETA COLUMNS IS ALSO GENERATED, WITH EACH ELEMENT, G(L), CONGRUENT TO A SPECIFIED VALUE (MOD6) BEING TRANSLATED INTO THE ELEMENT G(L)+ALPHA. ============================================================================== -- L 316 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA, BETA, AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS ONE OF A SEQUENCE OF INPUT VALUES XNUM(M), M = 1, 2, 3, ... , MNUM. WHERE THE VALUES OF XNUM(M) ARE READ FROM INPUT FILE STAT316.INP WITH FORMAT F11.4 FOR EACH OF THE MNUM VALUES. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 400 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 400. A SEQUENCE OF PERMUTATIONS REPRESENTING K0 COLUMNS IS ALSO GENERATED. ELEMENTS IN COLUMNS K0-1 AND K0 ARE PRINTED AS FOUR PERMUTATION SETS IN THE FILE PERM.INP. ============================================================================== -- L 317 -- READS A SEQUENCE OF MNUM REAL-VALUED FUNCTIONAL INPUT VALUES, XNUM(M), M = 1, 2, 3, ... , MNUM , WHERE THE VALUES OF XNUM(M) ARE READ FROM INPUT FILE STAT317.INP WITH FORMAT F11.4 FOR EACH OF THE MNUM VALUES. AVERAGES OF KK-ELEMENT SUBSEQUENCES OF THE INITIAL SEQUENCE ARE INTERSPERSED BETWEEN THE VALUES OF XNUM(M) IN STEPS OF SIZE KK+2, TO GENERATE A NEW SEQUENCE OF FUNCTIONAL VALUES FOR FURTHER ANALYSIS. THE ANALYST IS PROMPTED FOR DESIRED VALUES OF THE PARAMETER, KK. ============================================================================== -- L 318 -- READS A SEQUENCE OF PNUM PERMUTATION SETS ON NCOL ELEMENTS AND GENERATES AN INCIDENCE MATRIX, CONSISTING OF ELEMENTS ALPHA AND 0, WHERE THE ELEMENT IN CELL (I,J) IN THE INCIDENCE MATRIX EQUALS ALPHA IF J IS AN ELEMENT OF PERMUTATION I FOR I = 1, 2, ... , PNUM AND J = 1, 2, ... , K0. OTHERWISE, CELL (I,J) CONTAINS THE ELEMENT 0. HENCE, CELL (I,K) CONTAINS ALPHA <========> P(I,J) = K FOR EACH I = 1, ... , PNUM , K = 1 , ... , K0 AND J = 1 , ... , NCOL , WHERE NCOL IS THE NUMBER OF ELEMENTS IN EACH PERMUTATION SET, K0 IS THE NUMBER OF COLUMNS AND PNUM IS THE NUMBER OF ROWS OF THE INCIDENCE MATRIX. THE INCIDENCE MATRIX IS ALSO PRINTED FOR FURTHER ANALYSIS. THE ANALYST IS PROMPTED FOR THE NUMBER OF NON-ZERO COLUMNS OF EACH INITIAL PERMUTATION SET. ============================================================================== -- L 319 -- READS A SEQUENCE OF PNUM ROWS OF A PNUM x K0 INCIDENCE MATRIX, GENERATING A SEQUENCE OF PERMUTATIONS CORRESPONDING TO EACH ROW, WHERE THE ELEMENT P(I,J) = K IN THE PERMUTATION CORRESPONDING TO ROW I IF AND ONLY IF Q(I,K) IS NON-ZERO IN THE INCIDENCE MATRIX FOR I = 1, 2, ... , PNUM , J = 1, ... , NCOL, AND K = 1, ... , K0 WHERE NCOL IS THE NUMBER OF ELEMENTS IN EACH PERMUTATION SET, K0 IS THE NUMBER OF COLUMNS AND PNUM IS THE NUMBER OF ROWS OF THE INCIDENCE MATRIX. THE SEQUENCE OF PERMUTATION SETS IS ALSO PRINTED FOR FURTHER ANALYSIS. THE ANALYST IS PROMPTED FOR THE NUMBER OF NON-ZERO COLUMNS OF EACH INITIAL PERMUTATION SET. L 319 IS THE DUAL OF L 318 , WITH THE ROLES OF THE PERMUTATION SEQUENCE AND THE INCIDENCE MATRIX INTERCHANGED. ============================================================================== -- L 320 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA, BETA, AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS ONE OF A SEQUENCE OF INPUT VALUES XNUM(M), M = 1, 2, 3, ... , MNUM. WHERE THE VALUES OF XNUM(M) ARE READ FROM INPUT FILE STAT320.INP WITH FORMAT F11.4 FOR EACH OF THE MNUM VALUES. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 400 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 400. A SEQUENCE OF PERMUTATIONS REPRESENTING K0-BETA COLUMNS IS ALSO GENERATED, WITH EACH ELEMENT, G(L), CONGRUENT TO A SPECIFIED VALUE (MOD KK) BEING TRANSLATED INTO THE ELEMENT G(L) + ALPHA , FOR EVERY INTEGER KK IN THE DESIRED VECTOR , M(1), M(2), ... , M(INUM). ============================================================================== -- L 321 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA, BETA, AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS ONE OF A SEQUENCE OF INPUT VALUES XNUM(M), M = 1, 2, 3, ... , MNUM. WHERE THE VALUES OF XNUM(M) ARE READ FROM INPUT FILE STAT321.INP WITH FORMAT F11.4 FOR EACH OF THE MNUM VALUES. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 400 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 400. A SEQUENCE OF PERMUTATIONS REPRESENTING K0-BETA COLUMNS IS ALSO GENERATED, WITH EACH ELEMENT, G(L), CONGRUENT TO A SPECIFIED VALUE (MOD KK) BEING TRANSLATED INTO THE ELEMENT G(L) + ALPHA , FOR EVERY INTEGER KK IN THE DESIRED VECTOR , M(1), M(2), ... , M(INUM). MOD TRANSLATIONS OF L320 ARE SIMPLIFIED. MOVING AVERAGES ARE ADDED TO EACH GENERATED PERMUTATION SEQUENCE. ============================================================================== -- L 322 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA, BETA, AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS ONE OF A SEQUENCE OF INPUT VALUES XNUM(M), M = 1, 2, 3, ... , MNUM. WHERE THE VALUES OF XNUM(M) ARE READ FROM INPUT FILE STAT322.INP WITH FORMAT F11.4 FOR EACH OF THE MNUM VALUES. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 400 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 400. A SEQUENCE OF PERMUTATIONS REPRESENTING K0-BETA COLUMNS IS ALSO GENERATED, WITH EACH ELEMENT, G(L), CONGRUENT TO A SPECIFIED VALUE (MOD KK) BEING TRANSLATED INTO THE ELEMENT G(L) + ALPHA(J) , FOR EVERY INTEGER KK IN THE DESIRED VECTOR , M(1), M(2), ... , M(INUM) , WHERE ALPHA(J) ARE DESIRED TRANSLATIONS, J = 1, 2, 3, ... , KNUM. MOD TRANSLATIONS OF L321 ARE SIMPLIFIED. ============================================================================== -- L 323 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA, BETA, AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS ONE OF A SEQUENCE OF INPUT VALUES XNUM(M), M = 1, 2, 3, ... , MNUM. WHERE THE VALUES OF XNUM(M) ARE READ FROM INPUT FILE STAT323.INP WITH FORMAT F11.4 FOR EACH OF THE MNUM VALUES. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 400 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 400. A SEQUENCE OF PERMUTATIONS REPRESENTING K0-BETA COLUMNS IS ALSO GENERATED. FOR EACH INDEX OF, G(L), LESS THAN OR EQUAL TO (OR GREATER THAN OR EQUAL TO) 1/2 THE NUMBER OF PERMUTATION ELEMENTS SELECTED ELEMENTS, G(L) (MOD 3) , ARE TRANSLATED INTO ELEMENTS OF THE THE FORM G(L) + ALPHA(J), FOR J = 1, 2, ... , KNUM. A SEQUENCE OF PERMUTATIONS IS CYCLICALLY GENERATED FOR FURTHER ANALYSIS. ============================================================================== -- L 324 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA AND MNUM ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS ONE OF A SEQUENCE OF INPUT VALUES XNUM(M), M = 1, 2, 3, ... , MNUM. WHERE THE VALUES OF XNUM(M) ARE READ FROM INPUT FILE STAT324.INP WITH FORMAT F11.4 FOR EACH OF THE MNUM VALUES. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 400 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 400. A SEQUENCE OF PERMUTATIONS REPRESENTING COLUMN K0-BETA IS ALSO GENERATED. THE AVERAGES OF THE ROW SUMS OF EACH OF MNUM K0-ELEMENT EVENTS DETERMINED BY B(M,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 IS ALSO COMPUTED AND THOSE ELEMENTS ARE PRINTED AS A PERMUTATION SEQUENCE AND INTERSECTED WITH EVENT JMAX+1. VALUES OF (+1) OR (-1) ARE ADDED TO ELEMENTS OF COLUMN K0 OF THE GENERATED SEQUENCE OF EVENTS DETERMINED BY B(M,J) TO GENERATE A NEW SEQUENCE OF PERMUTATION ELEMENTS FOR ANALYSIS. ============================================================================== -- L 325 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, DETERMINES THE DIFFERENCES BETWEEN CORRESPONDING ELEMENTS IN K0 COLUMNS OF OF SELECTED EVENT JMAX AND EACH EVENT OF THE INITIAL STAR SEQUENCE, SELECTS AND FILTERS THOSE STAR EVENTS FOR WHICH THE NUMBER OF DIFFERENCES BETWEEN CORRESPONDING PAIRS OF ELEMENTS LIES WITHIN ARBITRARILY CHOSEN CONSTANT BOUNDS. MOREOVER, A SEQUENCE OF UP TO 999 EVENTS IMMEDIATELY SUCCEEDING EACH OF THE SELECTED STAR EVENTS IS SELECTED AND FILTERED FOR FURTHER ANALYSIS. ============================================================================== -- L 326 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS, BETA AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS ONE OF A SEQUENCE OF INPUT VALUES XNUM(M), M = 1, 2, 3, ... , MNUM. WHERE THE VALUES OF XNUM(M) ARE READ FROM INPUT FILE STAT326.INP WITH FORMAT F11.4 FOR EACH OF THE MNUM VALUES. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 400 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 400. A SEQUENCE OF PERMUTATIONS BASED UPON COLUMN K0-BETA IS ALSO GENERATED, WITH EACH ELEMENT, G(L), GENERATED AS AN AVERAGE OF ELEMENTS FROM A GENERATED PERMUTATION AND A FIXED PERMUTATION. THE AVERAGES ARE DETERMINED FROM A DESIRED SEQUENCE OF REAL-VALUED GENERATING DIVISORS. ============================================================================== -- L 327 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND GENERATES, FOR SEQUENCES OF IMAX EVENTS, A SET OF IBACK QUASI-MOVING AVERAGES FOR EACH OF THE K0 COLUMNS OF THE (IBACK x K0)-ELEMENT ARRAY OF EVENTS, WHERE IBACK IS THE NUMBER OF EVENTS TO BACK-UP FROM FINAL EVENT JMAX. THE ANALYST IS ALSO PROMPTED FOR THE DESIRED VALUE OF JMAX, AND QUASI- MOVING AVERAGES ARE COMPUTED FOR THE IBACK ELEMENTS IN EACH OF THE K0 COLUMNS OF THE IMAX STAR EVENTS. EACH QUASI-MOVING AVERAGE IS SELECTIVELY ROUNDED UP OR DOWN. FOR EACH COLUMN J, J = 1, ... , K0. "QUASI-MOVING AVERAGES" ARE OF THE FORM: (A(M,J) + A(M+1,J))/2 , (A(M,J)+A(M+1,J)+A(M+2,J))/3 , .... , (A(M,J)+ ... + A(M+N-1)) / N , WHERE M = JMAX-IBACK+1, ... , JMAX FOR A SELECTED FINAL EVENT, JMAX. THE TOTAL NUMBER OF POSSIBLE EVENTS, IMAX, RANGES UP TO 500. (THIS IS A SPECIAL VARIANT OF L 305). ============================================================================== -- L 328 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS FOR EACH OF THE K0 COLUMNS ARE DETERMINED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA, BETA, AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS GIVEN BY XNUM(M) = ALPHA + (BETA * ( FLOAT(M) ) / 1000.0 ). THE K0 COLUMNS OF THE INITIAL SEQUENCE. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 500 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 1000. A SEQUENCE OF PERMUTATIONS REPRESENTING SELECTED COLUMN J IS ALSO GENERATED. (THIS VARIANT OF L 311 CONSISTS OF ONLY THE SELECTED COLUMN OF AVERAGES GENERATED AS PERMUTATIONS, AS WELL AS, UNIT TRANSLATIONS OF HALF OF THESE AVERAGES). ============================================================================== -- L 329 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED FROM A DESIRED COLUMN J , (J < K0+1) , AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA, BETA, AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS ONE OF A SEQUENCE OF INPUT VALUES XNUM(M), M = 1, 2, 3, ... , MNUM. THE VALUES OF XNUM(M) ARE READ FROM INPUT FILE STAT329.INP WITH FORMAT F11.4 FOR EACH OF THE MNUM VALUES. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 400 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 400. A SEQUENCE OF PERMUTATIONS REPRESENTING VARIANTS OF COLUMN J IS ALSO GENERATED. (THIS VARIANT OF L 313 CONSISTS OF ONLY THE SELECTED COLUMN OF AVERAGES GENERATED AS PERMUTATIONS, AS WELL AS, UNIT TRANSLATIONS OF HALF OF THESE AVERAGES). ============================================================================== -- L 330 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND GENERATES, FOR SEQUENCES OF KMAX EVENTS, A SEQUENCE OF DESIRED SUCCESSIVE KMAX- ELEMENT SUMS, AS WELL AS, A SET OF 2*(JMAX-KMAX+1) MOVING AVERAGES FOR EACH OF THE K0 COLUMNS OF THE (JMAX x K0)-ELEMENT ARRAY OF EVENTS. A SEQUENCE OF JMAX-KMAX+2 HIGH PROBABILITY ELEMENTS, C(I,J), IS ALSO PREDICTED, FOR I = 1, ... , JMAX-KMAX+2 AND J = 1, ... , K0. THE ANALYST IS PROMPTED FOR THE DESIRED VALUE OF KMAX AND JMAX, AND MOVING AVERAGES ARE COMPUTED FOR THE IMAX ELEMENTS IN EACH OF THE K0 COLUMNS OF THE IMAX STAR EVENTS. MOVING AVERAGE ELEMENTS ARE ROUNDED UP EITHER UP OR DOWN, BY CHOICE, TO COMPLETE THE SEQUENCE, WHERE IMAX RANGES UP TO 350. ============================================================================== -- L 331 -- READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS OVER L0 ELEMENTS AND DETERMINES THE FREQUENCIES OF ELEMENTS FROM A SET OF SEQUENCES OF JMAX K0-ELEMENT EVENTS, WHERE THE ANALYST IS PROMPTED FOR A DESIRED INITIAL FINAL EVENT JMAX. SUBSEQUENTLY, SUMS OF RELATIVE FREQUENCIES OF THE K0 ELEMENTS OF EACH OF THE LAST IMAX-KMAX EVENTS ARE DETERMINED AND DESCRIPTIVE MATRICES OF RELATIVE FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES ARE GENERATED. COMPUTED RELATIVE FREQUENCIES OF ELEMENTS OF EACH EVENT ARE BASED UPON FREQUENCES OF ELEMENTS IN THE LAST JMAX STAR EVENTS. ============================================================================== -- L 332 -- READS A SEQUENCE OF JMAX K0-ELEMENT TEST EVENTS AND A SEQUENCE OF L0 COMPUTED RELATIVE FREQUENCIES OF ELEMENTS 1, 2, .... , L0 (DETERMINED FROM STAT 32 ) AND FILTERS THOSE TEST EVENTS WHICH SATISFY THE CRITERION THAT THE SUM OF THE RELATIVE FREQUENCIES OF ITS K0 ELEMENTS LIE WITHIN A DESIRED SEQUENCE OF REAL-VALUED RANGES, FOR WHICH THE ANALYST IS PROMPTED. A MATRIX OF FILTERED AND UNFILTERED EVENTS AND THE SUMS OF RELATIVE FREQUENCIES OF THEIR CORRESPONDING ELEMENTS IS ALSO GENERATED. ==============================================================================