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.
@article{bwmeta1.element.bwnjournal-article-zmv23i3p305bwm,
author = {Zofia Grudzie\'n and Dominik Szynal},
title = {Characterizations of distributions by moments of order statistics when the sample size is random},
journal = {Applicationes Mathematicae},
volume = {23},
year = {1995},
pages = {305-318},
zbl = {0836.62014},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv23i3p305bwm}
}
Grudzień, Zofia; Szynal, Dominik. Characterizations of distributions by moments of order statistics when the sample size is random. Applicationes Mathematicae, Tome 23 (1995) pp. 305-318. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv23i3p305bwm/
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