On the compounded bivariate Poisson distribution: A unified treatment
type: Item
instance of: scholarly article
title: On the compounded bivariate Poisson distribution: A unified treatment
zbMATH Open document ID: 0668.62030
DOI: 10.1007/BF00053955
published in: Annals of the Institute of Statistical Mathematics
publication date: 1988-01-01T00:00:00Z
review text: A unified treatment is presented of compounding with the bivariate Poisson distribution. Exploiting the exponential nature of its probability generating function, it is shown that the pgf of the compound distribution is the moment generating function of the compounding random variable. This relationship leads to rather interesting general results. Particularly, the development of the conditional distribution is simplified. Four cases are presented in detail.
Mathematics Subject Classification ID: 62H05
zbMATH DE Number: 4094592
zbMATH Keywords: bivariate-Hermite
zbMATH Keywords: negative binomial
zbMATH Keywords: Poisson-inverse Gaussian
zbMATH Keywords: Neyman type A
zbMATH Keywords: compounding
zbMATH Keywords: bivariate Poisson distribution
zbMATH Keywords: probability generating function
zbMATH Keywords: conditional distribution
author: Subrahmaniam Kocherlakota
MaRDI profile type: Publication
cites work: A Class of Distributions Applicable to Accidents
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description: scientific article; zbMATH DE number 4094592