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ON THE GENERALIZED RAO‐RUBIN CONDITION and SOME VARIANTS
Author(s) -
Sapatinas Theofanis
Publication year - 1996
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1996.tb00684.x
Subject(s) - poisson distribution , mathematics , zero inflated model , series (stratigraphy) , compound poisson distribution , characterization (materials science) , distribution (mathematics) , statistical physics , mathematical analysis , statistics , poisson regression , physics , medicine , geology , population , paleontology , optics , environmental health
Summary 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.