Multivariate negative binomial distributions generated by multivariate exponential distributions
Applicationes Mathematicae, Tome 25 (1999) no. 4, pp. 463-472.

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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.
DOI : 10.4064/am-25-4-463-472
Keywords: bivariate geometrical distribution, multivariate exponential distribution, multivariate negative binomial distribution

Bolesław Kopociński 1

1
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Bolesław Kopociński. Multivariate negative binomial distributions generated by multivariate exponential distributions. Applicationes Mathematicae, Tome 25 (1999) no. 4, pp. 463-472. doi : 10.4064/am-25-4-463-472. http://geodesic.mathdoc.fr/articles/10.4064/am-25-4-463-472/

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