Some characterizations for the Poisson distribution starting with a power-series distribution

Author:

Shanbhag D. N.,Clark R. M.

Abstract

Let X be a non-negative discrete random variable with distribution {Px} and Y be a random variable denoting the undestroyed part of the random variable X when it is subjected to a destructive process such that

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. On a characterization of Poisson distribution

2. On a characterization of the Poisson distribution;Rao;Sankhya,1964

3. Empirical Bayes estimation for the Poisson distribution

4. A characterization of the exponential-type distribution;Patil;Biometrika,1963

5. On the characterization of the Poisson laws;Raikov;C.R. Acad Sci. U.S.S.R.,1937

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