Characterization of exponential distribution through equidistribution conditions for consecutive maxima

Published 18 Feb 2013 in math.PR | (1302.4319v3)

Abstract: 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).

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