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cdfbin(1) Scilab Function cdfbin(1)
NAME
cdfbin - cumulative distribution function Binomial distribution
CALLING SEQUENCE
[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)
PARAMETERS
P,Q,S,Xn,Pr,Ompr
: six real vectors of the same size.
P,Q (Q=1-P)
: The cumulation from 0 to S of the binomial distribution. (Pro-
bablility of S or fewer successes in XN trials each with proba-
bility of success PR.) Input range: [0,1].
S : The number of successes observed. Input range: [0, XN] Search
range: [0, XN]
Xn : The number of binomial trials. Input range: (0, +infinity).
Search range: [1E-300, 1E300]
Pr,Ompr (Ompr=1-Pr)
: The probability of success in each binomial trial. Input
range: [0,1]. Search range: [0,1]
DESCRIPTION
Calculates any one parameter of the binomial distribution given values for
the others.
Formula 26.5.24 of Abramowitz and Stegun, Handbook of
Mathematical Functions (1966) is used to reduce the binomial distri-
bution to the cumulative incomplete beta distribution.
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.
From DCDFLIB: Library of Fortran Routines for Cumulative Distribution Func-
tions, Inverses, and Other Parameters (February, 1994) Barry W. Brown,
James Lovato and Kathy Russell. The University of Texas.
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