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On characterizing the Pólya distribution

Published online by Cambridge University Press:  15 November 2002

Héctor M. Ramos ,
David Almorza  and
Juan A. García–Ramos
Héctor M. Ramos
Affiliation:
Departamento de Estadística e Investigación Ope ra ti va, Facultad de Ciencias Económicas y Empresariales, Universidad de Cádiz, c/Duque de Nájera 8, 11002 Cádiz, Spain; hector.ramos@uca.es.
David Almorza
Affiliation:
Departamento de Estadística e Investigación Ope ra ti va, Facultad de Ciencias Económicas y Empresariales, Universidad de Cádiz, c/Duque de Nájera 8, 11002 Cádiz, Spain;
Juan A. García–Ramos
Affiliation:
Departamento de Estadística e Investigación Ope ra ti va, Facultad de Ciencias Económicas y Empresariales, Universidad de Cádiz, c/Duque de Nájera 8, 11002 Cádiz, Spain;
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Abstract

In this paper two characterizations of the Pólyadistribution are obtained when its contagion parameter isnegative. One of them is based on mixtures and the other one isobtained by characterizing a subfamily of the discrete Pearsonsystem.

Keywords

Pólya distributionhypergeometric distributioncharacterization.

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