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On the joint distribution of two discrete random variables

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Summary

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.

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  1. John Panaretos

    Present address: University of Missouri-Columbia, Columbia, USA

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  1. Trinity College, Dublin

    John Panaretos

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  1. John Panaretos
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Panaretos, J. On the joint distribution of two discrete random variables. Ann Inst Stat Math 33, 191–198 (1981). https://doi.org/10.1007/BF02480932

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  • DOI: https://doi.org/10.1007/BF02480932

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