Necessary and sufficient conditions for a Poisson approximation (trivariate case)
type: Item
instance of: scholarly article
title: Necessary and sufficient conditions for a Poisson approximation (trivariate case)
zbMATH Open document ID: 0633.60033
author: Cheng-Gee Liu
published in: Kodai Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: The author gives necessary and sufficient conditions for Poisson approximation of sums of independent trivariate Bernoulli vectors. However, the necessity and sufficiency of the two conditions given in this paper are an easy consequence of the general theory of infinitely divisible multivariate distributions, which has been known even since 1950's [see \textit{K. Takano}, Ann. Inst. Stat. Math. 6, 37-113 (1954; Zbl 0058.122)].
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60E07
zbMATH DE Number: 4030606
zbMATH Keywords: Poisson approximation of sums of independent trivariate Bernoulli vectors
zbMATH Keywords: infinitely divisible
MaRDI profile type: Publication
OpenAlex ID: W2043203745
cites work: Poisson approximation for sums of independent bivariate Bernoulli vectors
cites work: The structure of trivariate Poisson distribution
DOI: 10.2996/KMJ/1138037265
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description: scientific article; zbMATH DE number 4030606