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A COM–Poisson type generalization of the binomial distribution and its properties and applications

2014; Elsevier BV; Volume: 87; Linguagem: Inglês

10.1016/j.spl.2014.01.019

1879-2103

Patrick Borges, Josemar Rodrigues, N. Balakrishnan, Jorge L. Bazán,

Statistical Methods and Bayesian Inference

Shmueli et al. (2005) introduced the COM–Poisson–binomial distribution, but they did not study the mathematical properties of this family of distributions. In this paper, we discuss some properties and an asymptotic approximation of it by the COM–Poisson distribution. Moreover, three datasets are also considered.