Title: A characterization of the gamma distribution by the negative binomial distribution
Abstract: It is proved that for a Poisson process there exists a one-to-one relation between the distribution of the random variable N ( Y ) and the distribution of the non-negative random variable Y. This relation is used to characterize the gamma distribution by the negative binomial distribution. Furthermore it is applied to obtain some characterizations of the exponential distribution.
Publication Year: 1980
Publication Date: 1980-12-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 23
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