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Characterizations of logarithmic series distrimtrans |
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| Authors: | A. Kyriakoussis H. Papageorgiou |
| Affiliation: | Department of Mathematics University of Athens fanepistemiopolis Athens 157 10 Greece |
| 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. |
| Keywords: | Regression functions binomial and Pascal conditional distributions |