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.TH cdfpoi 1 "Dec 1997" "Scilab Group" "Scilab Function"
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cdfpoi - cumulative distribution function poisson distribution
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[P,Q]=cdfpoi("PQ",S,Xlam)
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[S]=cdfpoi("S",Xlam,P,Q)
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[Xlam]=cdfpoi("Xlam",P,Q,S);
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: four real vectors of the same size.
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: The cumulation from 0 to S of the poisson density.
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:Upper limit of cumulation of the Poisson.
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Input range: [0, +infinity).
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Search range: [0,1E300]
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: Mean of the Poisson distribution.
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Input range: [0, +infinity).
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Search range: [0,1E300]
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Calculates any one parameter of the Poisson
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distribution given values for the others.
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Formula 26.4.21 of Abramowitz and Stegun, Handbook of
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Mathematical Functions (1966) is used to reduce the computation
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of the cumulative distribution function to that of computing a
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chi-square, hence an incomplete gamma function.
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Cumulative distribution function (P) is calculated directly.
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Computation of other parameters involve a seach for a value that
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produces the desired value of P. The search relies on the
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monotinicity of P with the other parameter.
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From DCDFLIB: Library of Fortran Routines for Cumulative Distribution
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Functions, Inverses, and Other Parameters (February, 1994)
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Barry W. Brown, James Lovato and Kathy Russell. The University of