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Identifiability of Compound Poisson Distributions

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  • Xekalaki, Evdokia
  • Panaretos, John

Abstract

Compound Poisson distributions (CPD's) are frequently used as alternatives in studying situations where a simple Poisson model is found inadequate to describe. In this paper an attempt is made to identify compound Poisson distributions when it is known that the conditional distribution of two random variables (r.v.'s) is compound binomial. Some interesting special cases and their application to accident theory are discussed.

Suggested Citation

  • Xekalaki, Evdokia & Panaretos, John, 1983. "Identifiability of Compound Poisson Distributions," MPRA Paper 6244, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:6244
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    File URL: https://mpra.ub.uni-muenchen.de/6244/1/MPRA_paper_6244.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.
    2. Panaretos, John & Xekalaki, Evdokia, 1986. "The stuttering generalized waring distribution," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 313-318, October.
    3. Panaretos, John, 1981. "On the Relationship between the Conditional and Unconditional Distribution of a Random Variable," MPRA Paper 6228, University Library of Munich, Germany.
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    Cited by:

    1. Panaretos, John & Xekalaki, Evdokia, 1986. "The stuttering generalized waring distribution," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 313-318, October.
    2. Panaretos, John & Xekalaki, Evdokia, 1986. "On Generalized Binomial and Multinomial Distributions and Their Relation to Generalized Poisson Distributions," MPRA Paper 6248, University Library of Munich, Germany.

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    More about this item

    JEL classification:

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

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