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On Some Bivariate Discrete Distributions with Multivariate Components

Author

Listed:
  • Panaretos, John

Abstract

Consider a random vector (X,Y) where X=(X1,X2, ...., Xs,) and Y=(Y1,Y2, ...., Ys) with Xi, Yi, i=1,2,..., s independent non-negative, integer-valued random variables with finite support and such that X>=Y. We show that in the case where the distribution of (YlX=n) is of a certain structural form then there exists a relationship between the distributions of Y and of Y|(X=Y) which uniquely determines the distribution of X. The relationship in question is less stringent that the condition of independence between Y and X-Y usually involved in pro¬blems of this nature. Examples are given to illustrate the result. The case where X,Y have infinite support has been examined earlier by the author.

Suggested Citation

  • Panaretos, John, 1983. "On Some Bivariate Discrete Distributions with Multivariate Components," MPRA Paper 68041, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:68041
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    File URL: https://mpra.ub.uni-muenchen.de/68041/1/Panaretos-PublMath1983%28177-184%29ft.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. Panaretos, John, 1981. "On the Joint Distribution of Two Discrete Random Variables," MPRA Paper 6226, University Library of Munich, Germany.
    3. Panaretos, John, 1981. "A Characterization of the Negative Multinomial Distribution," MPRA Paper 6227, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

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    1. Panaretos, John, 1981. "On the Joint Distribution of Two Discrete Random Variables," MPRA Paper 6226, University Library of Munich, Germany.
    2. Panaretos, John, 1982. "On a Structural Property of Finite Distributions," MPRA Paper 6242, University Library of Munich, Germany.
    3. Panaretos, John, 1984. "Partial Independence and Finite Distributions," MPRA Paper 6247, University Library of Munich, Germany.

    More about this item

    Keywords

    Finite Distributions; Conditional Distribution; Multiple Binomial Distri¬bution; Multiple Hypergeometric Distribution; Characterization.;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General

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