Characterization of exponential distribution through equidistribution conditions for consecutive maxima
arXiv:1302.4319
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).
arXiv commentRevised version with corrections and modifications in the proof of one of the lemmas and the theorem