On the Joint Distribution of Two Discrete Random Variables
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.
|Date of creation:||1981|
|Date of revision:|
|Publication status:||Published in Annals of the Institute of Statistical Mathematics, A (Theory and Methods) 2.Vol.32(1981): pp. 191-198|
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- Panaretos, John, 1982. "On Characterizing Some Discrete Distributions Using an Extension of the Rao-Rubin Theorem," MPRA Paper 6229, University Library of Munich, Germany.
- Xekalaki, Evdokia & Panaretos, John, 1979. "Characterization of the Compound Poisson Distribution," MPRA Paper 6221, University Library of Munich, Germany.
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