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Characterization of the Compound Poisson Distribution

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Author Info
Xekalaki, Evdokia
Panaretos, John

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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 < p < 1 and p independent of n. It is known, and can be checked easily, that under the above assumption the distribution of Y is Poisson with parameter λp, λ>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.

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Publisher Info
Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 6221.

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Date of creation: 1979
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Handle: RePEc:pra:mprapa:6221

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

References listed on IDEAS
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  1. Panaretos, John, 1982. "An Extension of the Damage Model," MPRA Paper 6230, University Library of Munich, Germany. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Panaretos, John, 1982. "On a Structural Property of Finite Distributions," MPRA Paper 6242, University Library of Munich, Germany. [Downloadable!]
  2. Panaretos, John, 1981. "On the Joint Distribution of Two Discrete Random Variables," MPRA Paper 6226, University Library of Munich, Germany. [Downloadable!]
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This page was last updated on 2010-1-6.

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