A class of infinitely divisible multivariate negative binomial distributions (Q1822426)
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scientific article; zbMATH DE number 4003285
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of infinitely divisible multivariate negative binomial distributions |
scientific article; zbMATH DE number 4003285 |
Statements
A class of infinitely divisible multivariate negative binomial distributions (English)
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1987
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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 \(S=diag(S_ 1,S_ 2,...,S_ n)\).
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multivariate geometric distribution
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characterizations
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infinitely divisible distributions
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multivariate negative binomial distributions
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