Summary
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.
Resumen
La distribución doble de Poisson introducida por Joshi es una generalización bivariada de la correspondiente distribución univariada. En el presente trabajo se define una distribución de Poisson doble generalizada con cuatro parámetros. Se demuestra que es una función de probabilidad y se establece una relación de recurrencia entre los momentos. Se consideran los estimadores de máxima verosimilitud, los estimadores insesgados de variancia mínima, y los estimadores de Bayes. Finalmente se da un ejemplo numérico de la bondad de ajuste de la distribución.
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Shoukri, M.M. On the generalization and estimation for the double poisson distribution. Trabajos de Estadistica Y de Investigacion Operativa 33, 97–109 (1982). https://doi.org/10.1007/BF02888625
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DOI: https://doi.org/10.1007/BF02888625