Munich Personal RePEc Archive

On the Joint Distribution of Two Discrete Random Variables

Panaretos, John (1981): On the Joint Distribution of Two Discrete Random Variables. Published in: Annals of the Institute of Statistical Mathematics, A (Theory and Methods) , Vol. Vol.32, No. 2 (1981): pp. 191-198.

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Abstract

Let X, Y be two discrete random variables with finite support and X≥Y. Suppose that the conditional distribution of Y given X can be factorized in a certain way. This paper provides a method of deriving the unique form of the marginal distribution of X (and hence the joint distribution of (X, Y)) when partial independence only is assumed for Y and X-Y.

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