Characterizations of gamma, inverse Gaussian, and negative binomial distributions via their length-biased distributions Notes Received: 07 January 1992 Revised: 12 October 1992 DOI:
Cite this article as: Ahmed, A.N. & Abouammoh, A.M. Statistical Papers (1993) 34: 167. doi:10.1007/BF02925538 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.
Key words Length biased distribution Negative binomial distribution Gamma distribution Inverse Gaussain distribution Chi-square distribution Mixed distributions References
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