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Please note that the recommended version of Scilab is 2025.0.0. This page might be outdated.
See the recommended documentation of this function
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)
Arguments
- 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. (Probablility of S or fewer successes in XN trials each with probability 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 distribution 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 Functions, Inverses, and Other Parameters (February, 1994) Barry W. Brown, James Lovato and Kathy Russell. The University of Texas.
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