A new bivariate generalized Poisson distribution

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Abstract

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
Volume64
Issue number1
DOIs
StatePublished - Feb 2010

Keywords

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

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