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arXiv:1302.4319 [math.PR]AbstractReferencesReviewsResources

Characterization of exponential distribution through equidistribution conditions for consecutive maxima

Santanu Chakraborty, George P. Yanev

Published 2013-02-18, updated 2015-02-20Version 3

A characterization of the exponential distribution based on equidistribution conditions for maxima of random samples with consecutive sizes n-1 and n for an arbitrary and fixed n>2 is proved. This solves an open problem stated recently in Arnold and Villasenor (2013).

Comments: Revised version with corrections and modifications in the proof of one of the lemmas and the theorem
Categories: math.PR
Subjects: 62G30, 62E10
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