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
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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 
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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

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