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ON THE GENERALIZED RAO-RUBIN CONDITION and SOME VARIANTS
Authors:Theofanis  Sapatinas
Affiliation:Dept of Mathematics, The University of Bristol, University Walk, Bristol BS8-1TW, UK.
Abstract:
This paper gives a characterization of some members of the compound Poisson family of distributions based on the generalized Rao-Rubin condition. By considering some variants of this condition and using power series arguments, characterizations of the Poisson distribution are also obtained.
Keywords:Compound Poisson family of distributions      generalized Rao-Rubin condition      power series distributions.
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