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The Compounding of the Binomial and Generalized Beta Distributions

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Probability and Statistical Inference

Abstract

In paper [6] J.G. Skellam gave a distribution which grew out of a compound of a binomial distribution and a beta one. In the present paper we consider an analogous problem by compounding a binomial distribution and a generalized beta one given in [8] by T. Śródka. The distribution obtained yields interesting special as well as limit cases constituting compounds of the binomial distribution and those most frequently encountered in statistical practice.

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References

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© 1982 D. Reidel Publishing Company

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Gerstenkorn, T. (1982). The Compounding of the Binomial and Generalized Beta Distributions. In: Grossmann, W., Pflug, G.C., Wertz, W. (eds) Probability and Statistical Inference. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7840-9_10

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  • DOI: https://doi.org/10.1007/978-94-009-7840-9_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7842-3

  • Online ISBN: 978-94-009-7840-9

  • eBook Packages: Springer Book Archive

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