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On the Joint Distribution of Two Discrete Random Variables

Author

Listed:
  • Panaretos, John

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.

Suggested Citation

  • Panaretos, John, 1981. "On the Joint Distribution of Two Discrete Random Variables," MPRA Paper 6226, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:6226
    as

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    File URL: https://mpra.ub.uni-muenchen.de/6226/1/MPRA_paper_6226.pdf
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    References listed on IDEAS

    as
    1. Panaretos, John, 1982. "On Characterizing Some Discrete Distributions Using an Extension of the Rao-Rubin Theorem," MPRA Paper 6229, University Library of Munich, Germany.
    2. Xekalaki, Evdokia & Panaretos, John, 1979. "Characterization of the Compound Poisson Distribution," MPRA Paper 6221, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Panaretos, John, 1983. "On Some Bivariate Discrete Distributions with Multivariate Components," MPRA Paper 68041, University Library of Munich, Germany.
    2. Panaretos, John, 1984. "Partial Independence and Finite Distributions," MPRA Paper 6247, University Library of Munich, Germany.

    More about this item

    Keywords

    Conditional Distribution; power series distribution; binomial distribution; characterization;

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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