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Characterizations of logarithmic series distrimtrans
Author(s) -
Kyriakoussis A.,
Papageorgiou H.
Publication year - 1991
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1991.tb01288.x
Subject(s) - mathematics , logarithm , series (stratigraphy) , conditional probability distribution , binomial (polynomial) , infinite divisibility , marginal distribution , logarithmic distribution , negative binomial distribution , random variable , statistics , mathematical analysis , paleontology , poisson distribution , biology
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.