A new bivariate generalized Poisson distribution

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In this paper, a new bivariate generalized Poisson distribution (GPD) that allows any type of correlation is defined and studied. The marginal distributions of the bivariate model are the univariate GPDs. The parameters of the bivariate distribution are estimated by using the moment and maximum likelihood methods. Some test statistics are discussed and one numerical data set is used to illustrate the applications of the bivariate model.

Original languageEnglish
Pages (from-to)112-124
Number of pages13
JournalStatistica Neerlandica
Issue number1
StatePublished - Feb 2010


  • Correlated count data
  • Estimation
  • Over- and under-dispersion
  • Score test


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