A new bivariate generalized Poisson distribution |
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| Authors: | Felix Famoye |
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| Institution: | Department of Mathematics, Central Michigan University, Mt Pleasant, MI 48859, USA |
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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. |
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| Keywords: | correlated count data over- and under-dispersion score test estimation |
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