Exponential characterizations motivated by the structure of order statistics in samples of size two

Barry C. Arnold and Jose A. Villasenor

Statistics & Probability Letters, 2013, vol. 83, issue 2, 596-601

Abstract: Motivated by the observation that for a sample of size two from an exponential distribution, the largest order statistic is distributed as a convolution of two independent exponential random variables with distributions differing only in their intensity or rate parameter, a spectrum of related characterizations of the exponential distribution are identified and verified.

Keywords: Convolution; Order statistics; Functional equation; Failure rate (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:83:y:2013:i:2:p:596-601

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DOI: 10.1016/j.spl.2012.10.028

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