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Characterization of the Compound Poisson Distribution

Author

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  • Xekalaki, Evdokia
  • Panaretos, John

Abstract

Consider two non-negative integer-valued r.v.'s X,Y with X=>Y. Suppose that the conditional distribution of Y|X is binomial with parameters (n,p), n=0,1,2,...; 0 0 (Poisson(λp)) if and only if (iff) X is Poisson (λ). This model has been extensively used in the literature under different names in many practical situations.

Suggested Citation

  • Xekalaki, Evdokia & Panaretos, John, 1979. "Characterization of the Compound Poisson Distribution," MPRA Paper 6221, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:6221
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    File URL: https://mpra.ub.uni-muenchen.de/6221/1/MPRA_paper_6221.pdf
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    References listed on IDEAS

    as
    1. J. Panaretos, 1982. "An extension of the damage model," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 29(1), pages 189-194, December.
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    Cited by:

    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.

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    1. Xekalaki, Evdokia & Panaretos, John, 1983. "Identifiability of Compound Poisson Distributions," MPRA Paper 6244, University Library of Munich, Germany.

    More about this item

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics

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