The Compounding of the Binomial and Generalized Beta Distributions

Tadeusz Gerstenkorn
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Tadeusz Gerstenkorn: Łódź University, Institute of Mathematics

A chapter in Probability and Statistical Inference, 1982, pp 87-99 from Springer

Abstract: 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.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-7840-9_10

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DOI: 10.1007/978-94-009-7840-9_10

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