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Characterizations of uniform and exponential distributions via moments of the kth record values randomly indexed

Zofia Grudzień; Dominik Szynal — 1997

Applicationes Mathematicae

We characterize uniform and exponential distributions via moments of the kth record statistics. Too and Lin's (1989) results are contained in our approach.

On order statistics for random sample size having compound binomial and Poisson distributions

Zofia Grudzień; D. Szynal — 1982

Applicationes Mathematicae

Characterizations of distributions by moments of order statistics when the sample size is random

Zofia Grudzień; Dominik Szynal — 1995

Applicationes Mathematicae

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.

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