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On a Simultaneous Characterization of the Poisson and Bernoulli Distributions
Author(s) -
Kourouklis Stavros
Publication year - 1986
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.1986.tb00712.x
Subject(s) - poisson distribution , bernoulli's principle , characterization (materials science) , poisson binomial distribution , mathematics , compound poisson distribution , statistical physics , bernoulli distribution , bernoulli process , compound poisson process , poisson regression , poisson process , statistics , physics , random variable , thermodynamics , population , demography , sociology , optics
Summary Kimeldorf et al. (1981) established a simultaneous characterization of the Poisson and Bernoulli distributions. In this note two variants of the authors' characterizing condition are considered each of which is shown also to characterize simultaneously the Poisson and Bernoulli distributions.