, Volume 34, Issue 1, pp 167-173

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

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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.