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On Characterizing Some Discrete Distributions by a Conditional Distribution and a Regression Function

✍ Scribed by Dr. H. Papageorgiou

Publisher: John Wiley and Sons
Year: 1985
Tongue: English
Weight: 287 KB
Volume: 27
Category: Article
ISSN: 0323-3847
DOI: 10.1002/bimj.4710270422

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we consider characterizations of the binomial, negative binomial, hypergeometric, negative hypergeometric, multinomial and multivariate hypergeometric distributions, by linear regression of one random variable (vector) on the other and the conditional distribution of the other random variable (vector) given the first. It is also indicated how these results can be used in genetics.

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