
doi: 10.1007/bf02888625
The Double Poisson Distribution introduced by Joshi is a bivariate analogue of the univariate counterpart. In this paper we define a generalized double Poisson distribution based on four parameters. We prove it is a probability function and derive a recurrence relation among the moments. The maximum likelihood, minimum variance unbiased, and Bayes estimators are considered. Finally, we give a numerical example for the goodness of fit of the distribution.
recurrence relations, minimum variance unbiased estimators, Bayesian estimators, Point estimation, moments, Exact distribution theory in statistics, maximum likelihood, generalized double Poisson distribution
recurrence relations, minimum variance unbiased estimators, Bayesian estimators, Point estimation, moments, Exact distribution theory in statistics, maximum likelihood, generalized double Poisson distribution
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