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On characterization of power series distributions by a marginal distribution and a regression function

โœ Scribed by A. Kyriakoussis; H. Papageorgiou

Publisher
Springer Japan
Year
1989
Tongue
English
Weight
200 KB
Volume
41
Category
Article
ISSN
0020-3157

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โœฆ Synopsis

The conditional distribution of Y given X = x, where X and Y are non-negative integer-valued random variables, is characterized in terms of the regression function of X on Y and the marginal distribution of X which is assumed to be of a power series form. Characterizations are given for a binomial conditional distribution when X follows a Poisson, binomial or negative binomial, for a hypergeometric conditional distribution when X is binomial and for a negative hypergeometric conditional distribution when X follows a negative binomial.

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