Characterizations of distributions by moments of order statistics when the sample size is random
Volume 23 / 1995
Applicationes Mathematicae 23 (1995), 305-318
DOI: 10.4064/am-23-3-305-318
Abstract
We give characterizations of the uniform distribution in terms of moments of order statistics when the sample size is random. Special cases of a random sample size (logarithmic series, geometrical, binomial, negative binomial, and Poisson distribution) are also considered.
