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- W3134059553 abstract "Abstract : If X and Y are random variables such that P (X Y) = 1 and the conditional distribution of Y given X is binomial, then Moran (1952) showed that Y and (X-Y) are independent if X is Poisson. This document extends Moran's result to a more general type of conditional distribution of Y given X, using only partial independence of Y and X-Y. This provides a generalization of a recent results of Janardhan and Rao (1982) on the characterization of generalized Polya-Eggenberger distribution. A variant of Moran's theorem is proved which generalizes the results of Patil and Seshadri (1964) on the characterization of the distribution of a random variable x based on some conditions on the conditional distribution of Y given X and the independence of Y and X-Y." @default.
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- W3134059553 date "1985-05-01" @default.
- W3134059553 modified "2023-09-26" @default.
- W3134059553 title "Characterization of Discrete Probability Distributions by Partial Independence." @default.
- W3134059553 doi "https://doi.org/10.21236/ada160130" @default.
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