Abstract
New characterizations for the exponential distribution are given in terms of record values and the probabilities of finite sums of independent and identically distributed nonnegative random variables provided that the underlying distribution is either new better than used or new worse than used.
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Bairamov, I.G. On the Characteristic Properties of Exponential Distribution. Annals of the Institute of Statistical Mathematics 52, 448–458 (2000). https://doi.org/10.1023/A:1004109117386
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DOI: https://doi.org/10.1023/A:1004109117386