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.
@article{bwmeta1.element.bwnjournal-article-zmv25i4p463bwm,
author = {Boles\l aw Kopoci\'nski},
title = {Multivariate negative binomial distributions generated by multivariate exponential distributions},
journal = {Applicationes Mathematicae},
volume = {26},
year = {1999},
pages = {463-472},
zbl = {1051.62512},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv25i4p463bwm}
}
Kopociński, Bolesław. Multivariate negative binomial distributions generated by multivariate exponential distributions. Applicationes Mathematicae, Tome 26 (1999) pp. 463-472. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv25i4p463bwm/
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