Characterizations of gamma,inverse Gaussian,and negative binomial distributions via their length-biased distributions |
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| Authors: | A. N. Ahmed A. M. Abouammoh |
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| Affiliation: | 1. Department of Statist. and O.R., College of Science, King Saud University, P. O. Box 2455, 11451, Riyadh, Saudi Arabia
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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. |
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