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ArticleOriginal scientific text

Title

Multivariate negative binomial distributions generated by multivariate exponential distributions

Authors 1

Affiliations

  1. Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Abstract

We define a multivariate negative binomial distribution (MVNB) as a bivariate Poisson distribution function mixed with a multivariate exponential (MVE) distribution. We focus on the class of MVNB distributions generated by Marshall-Olkin MVE distributions. For simplicity of notation we analyze in detail the class of bivariate (BVNB) distributions. In applications the standard data from [2] and [7] and data concerning parasites of birds from [4] are used.

Keywords

ENG
bivariate geometrical distribution, multivariate exponential distribution, multivariate negative binomial distribution

Bibliography

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Applicationes Mathematicae
1998-1999/25/4
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Pages:
463-472
Main language of publication
English
Received
1998-04-29
Published
1999
Exact and natural sciences