Summary
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.
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References
Bardwell, G. F. and Crow, E. L. (1964). A two-parameter family of hyper-Poisson distributions. Journal of American Statistical Association, 59, 133–141.
Crow, E. L. and Bardwell, G. F. (1963). Estimation of the parameters of the hyper-Poisson distributions. In Classical and Contagious Discrete Distributions, G. P. Patil, ed. Pergamon Press, New York. Pages 127–140.
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© 1981 D. Reidel Publishing Company
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Ahmad, M. (1981). A Bivariate Hyper-Poisson Distribution. In: Taillie, C., Patil, G.P., Baldessari, B.A. (eds) Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 79. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8549-0_18
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DOI: https://doi.org/10.1007/978-94-009-8549-0_18
Publisher Name: Springer, Dordrecht
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