Moment-Based Characterizations of the Exponential Distribution in the Class of Distributions with Monotone Hazard Rate

Some new characterizations of the exponential distribution in the class of distributions with monotone hazard rate are obtained. The characterizations are formulated in terms of expectations of order statistics.

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 234; no. 6; pp. 759 - 769
Main Authors Ushakov, N. G., Ushakov, V. G.
Format Journal Article
LanguageEnglish
Published New York Springer US 02.11.2018
Springer
Springer Nature B.V
Subjects
DISTRIBUTION
HAZARDS
MATHEMATICAL METHODS AND COMPUTING
Mathematics
Mathematics and Statistics
Probability distribution functions
Probability distributions
STATISTICS
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Summary:Some new characterizations of the exponential distribution in the class of distributions with monotone hazard rate are obtained. The characterizations are formulated in terms of expectations of order statistics.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-018-4041-4