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SUBROUTINE cumbin(s,xn,pr,ompr,cum,ccum)
C**********************************************************************
C
C SUBROUTINE CUMBIN(S,XN,PBIN,OMPR,CUM,CCUM)
C CUmulative BINomial distribution
C
C
C Function
C
C
C Returns the probability of 0 to S successes in XN binomial
C trials, each of which has a probability of success, PBIN.
C
C
C Arguments
C
C
C S --> The upper limit of cumulation of the binomial distribution.
C S is DOUBLE PRECISION
C
C XN --> The number of binomial trials.
C XN is DOUBLE PRECISIO
C
C PBIN --> The probability of success in each binomial trial.
C PBIN is DOUBLE PRECIS
C
C OMPR --> 1 - PBIN
C OMPR is DOUBLE PRECIS
C
C CUM <-- Cumulative binomial distribution.
C CUM is DOUBLE PRECISI
C
C CCUM <-- Compliment of Cumulative binomial distribution.
C CCUM is DOUBLE PRECIS
C
C
C Method
C
C
C Formula 26.5.24 of Abramowitz and Stegun, Handbook of
C Mathematical Functions (1966) is used to reduce the binomial
C distribution to the cumulative beta distribution.
C
C**********************************************************************
C .. Scalar Arguments ..
DOUBLE PRECISION pr,ompr,s,xn,cum,ccum
C ..
C .. External Subroutines ..
EXTERNAL cumbet
C ..
C .. Executable Statements ..
IF (.NOT. (s.LT.xn)) GO TO 10
CALL cumbet(pr,ompr,s+1.0D0,xn-s,ccum,cum)
GO TO 20
10 cum = 1.0D0
ccum = 0.0D0
20 RETURN
END
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