Characterization of exponential distribution through equidistribution conditions for consecutive maxima

Santanu Chakraborty; George P. Yanev

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arXiv · 1302.4319

Characterization of exponential distribution through equidistribution conditions for consecutive maxima

Santanu Chakraborty·George P. Yanev

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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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Santanu Chakraborty, George P. Yanev. 2013-02-18. Characterization of exponential distribution through equidistribution conditions for consecutive maxima. https://arxiv.org/abs/1302.4319

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