, Volume 34, Issue 1, pp 167-173

Characterizations of gamma, inverse Gaussian, and negative binomial distributions via their length-biased distributions

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Abstract

A general form for characterizing inverse Gaussian and Wald distributions, based on their respective length-biased distributions, is introduced. Further results for characterizations of the gamma distribution, the negative binomial distribution and some mixtures of them by using their lengthbiased distributions are establised.