Characterizations of distributions via order statistics with random exponential shifts

Details Characterizations of distributions via order statistics with random exponential shifts Characterizations of distributions via order statistics with random exponential shifts

2011-07-23

arxiv.org/abs/1107.4716v1

Jornal of Applied Statistical Science, 2011 (18), 3:1-18

Mathematics

Probability

Scientific paper

A class of probability distributions is characterized via equalities in law
between two order statistics shifted by independent exponential variables. An
explicit formula for the quintile function of the identified family of
distributions is obtained. The results extend some known characterizations of
exponential and logistic distributions.

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