A Bivariate Hyper-Poisson Distribution
Bardwell and Crow (1964) introduce a two-parameter family of the univariate hyper-Poisson distributions covering the Poisson and the left truncated Poisson distributions as particular cases. In this paper, a bivariate hyper-Poisson distribution is derived with univariate hyper-Poisson distributions as its marginals and bivariate Poisson distribution as a particular case. Various other particular cases and some properties of the new bivariate distribution are discussed. The moment method has been employed to estimate the parameters.
Key Wordsbivariate hyper-Poisson distribution confluent hypergeometric function method of moments
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