Exponential characterizations motivated by the structure of order statistics in samples of size two
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.
Volume (Year): 83 (2013)
Issue (Month): 2 ()
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