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Computation of the poisson-inverse gaussian distribution
Authors:S.A. Shaban
Affiliation:1. Institute of statistical studies &2. research cairo university ,
Abstract:Recursion relations suitable for rapid computation are derived for the probabilities of the compound Poisson distribution when the compounder is the inverse-Gaussian distribution. Series representation of the probabilities are given. Asymptotic results as well as approximations for probabilities, compared with the exact values, are investigated.
Keywords:compound poisson distributions  inverse gaussian distribution  Bessel function
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