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CHARACTERIZATIONS OF GAMMA, INVERSE GAUSSIAN, AND NEGATIVE BINOMIAL DISTRIBUTIONS VIA THEIR LENGTH-BIASED DISTRIBUTIONS
Journal article   Peer reviewed

CHARACTERIZATIONS OF GAMMA, INVERSE GAUSSIAN, AND NEGATIVE BINOMIAL DISTRIBUTIONS VIA THEIR LENGTH-BIASED DISTRIBUTIONS

A N Ahmed and A M Abouammoh
Statistical papers (Berlin, Germany), Vol.34(2), pp.167-173
12/1993
DOI: https://doi.org/10.1007/BF02925538

Abstract

Mathematics Physical Sciences Science & Technology Statistics & Probability
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 length-biased distributions are establised.

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