On the joint distribution of two discrete random variables
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LetX, Y be two discrete random variables with finite support andX≧Y. Suppose that the conditional distribution ofY givenX can be factorized in a certain way. This paper provides a method of deriving the unique form of the marginal distribution ofX (and hence the joint distribution of (X, Y)) when partial independence only is assumed forY andX−Y.
AMS 1979 subject classification60E05
Key words and phrasesConditional distribution power series distribution binomial distribution characterization
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