A class of infinitely divisible multivariate negative binomial distributions
type: Item
instance of: scholarly article
title: A class of infinitely divisible multivariate negative binomial distributions
zbMATH Open document ID: 0618.62060
DOI: 10.1016/0047-259X(87)90072-8
published in: Journal of Multivariate Analysis
publication date: 1987-01-01T00:00:00Z
review text: The main results of this paper concern characterizations of the infinitely divisible distributions of a class of multivariate negative binomial distributions with probability generating functions of the form \[ | I-Q|^ a| I-QS|^{-a},\quad a>0, \] where Q is an \(n\times n\) matrix and \(S=diag(S_ 1,S_ 2,...,S_ n)\).
reviewed by: John Panaretos
Mathematics Subject Classification ID: 62H05
Mathematics Subject Classification ID: 60E07
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 4003285
zbMATH Keywords: multivariate geometric distribution
zbMATH Keywords: characterizations
zbMATH Keywords: infinitely divisible distributions
zbMATH Keywords: multivariate negative binomial distributions
author: Robert Griffiths
author: Robin K. Milne
MaRDI profile type: Publication
cites work: Definition and characterization of multivariate negative binomial distribution
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description: scientific article; zbMATH DE number 4003285