Geodesic
Characterizations of distributions by moments of order statistics when the sample size is random
Applicationes Mathematicae, Tome 23 (1996) no. 3, pp. 305-318.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/am-23-3-305-318
Keywords: Poisson distribution, logarithmic series, binomial, random sample size, geometrical, order statistics, recurrence formula, uniform distribution, negative binomial, moments

Zofia Grudzień 1 ; Dominik Szynal 1

1 
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Zofia Grudzień; Dominik Szynal. Characterizations of distributions by moments of order statistics when the sample size is random. Applicationes Mathematicae, Tome 23 (1996) no. 3, pp. 305-318. doi : 10.4064/am-23-3-305-318. http://geodesic.mathdoc.fr/articles/10.4064/am-23-3-305-318/

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