Three Characterizations of Exponential Distribution Involving Median of Sample of Size Three

order statistics 62E10, 62G30 Characterization Probability (math.PR) FOS: Mathematics exponential distribution 0101 mathematics Probabilities. Mathematical statistics 01 natural sciences QA273-280 Mathematics - Probability
DOI: 10.2991/jsta.2015.14.3.3 Publication Date: 2015-10-15T10:42:34Z
ABSTRACT
In this paper three new characterizing theorems of exponential distribution are presented. They are based on equidistribution of some functions of order statistics. All of them include the median of sample of size three.
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