Multivariate negative binomial distributions generated by multivariate exponential distributions

Volume 25 / 1999

Bolesław Kopociński Applicationes Mathematicae 25 (1999), 463-472 DOI: 10.4064/am-25-4-463-472


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.


  • Bolesław Kopociński

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