arXiv:2312.04951 Abstract | arXiv Analytics

arXiv:2312.04951 [math.PR]Abstract References Reviews Resources

On some characterizations of probability distributions based on maxima or minima of some families of dependent random variables

Published 2023-12-08Version 1

Most of the characterizations of probability distributions are based on properties of functions of possibly independent random variables. We investigate characterizations of probability distributions through properties of minima or maxima of max-independent, min-independent and quasi-independent random variables generalizing the results from independent random variables of Kotlarski (1978), Prakasa Rao (1992) and Klebanov (1973).

Categories: math.PR, math.ST, stat.TH

Subjects: 62M10

Keywords: probability distributions, characterizations, possibly independent random variables, properties, prakasa rao

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