Characterizations of logarithmic series distrimtrans

A. Kyriakoussis and H. Papageorgiou

Statistica Neerlandica, 1991, vol. 45, issue 1, 1-8

Abstract: The distributions of X, Y and (X. Y), where X and Y are random variables with probability functions of a logarithmic series law, are characterized by the regression function of X on Y and the conditional distribution of Y given X. Moreover, characterizations are given for binomial or Pascal conditional distributions in terms of the regression function of X on Y and the marginal distribution of X.

Date: 1991
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