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.TH cdfbin 1 "Dec 1997" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
cdfbin - cumulative distribution function Binomial distribution
.SH CALLING SEQUENCE
.nf
[P,Q]=cdfbin("PQ",S,Xn,Pr,Ompr)
[S]=cdfbin("S",Xn,Pr,Ompr,P,Q)
[Xn]=cdfbin("Xn",Pr,Ompr,P,Q,S)
[Pr,Ompr]=cdfbin("PrOmpr",P,Q,S,Xn)
.fi
.SH PARAMETERS
.TP 10
P,Q,S,Xn,Pr,Ompr
: six real vectors of the same size.
.TP
P,Q (Q=1-P)
: The cumulation from 0 to S of the binomial distribution.
(Probablility of S or fewer successes in XN trials each
with probability of success PR.) Input range: [0,1].
.TP
S
: The number of successes observed.
Input range: [0, XN]
Search range: [0, XN]
.TP
Xn
: The number of binomial trials.
Input range: (0, +infinity).
Search range: [1E-300, 1E300]
.TP
Pr,Ompr (Ompr=1-Pr)
: The probability of success in each binomial trial.
Input range: [0,1].
Search range: [0,1]
.SH DESCRIPTION
Calculates any one parameter of the binomial
distribution given values for the others.
.LP
Formula 26.5.24 of Abramowitz and Stegun, Handbook of
Mathematical Functions (1966) is used to reduce the binomial
distribution to the cumulative incomplete beta distribution.
.LP
Computation of other parameters involve a seach for a value that
produces the desired value of P. The search relies on the
monotinicity of P with the other parameter.
.LP
From DCDFLIB: Library of Fortran Routines for Cumulative Distribution
Functions, Inverses, and Other Parameters (February, 1994)
Barry W. Brown, James Lovato and Kathy Russell. The University of
Texas.
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