On a characterization of the exponential distribution by properties of order statistics

DOI10.1016/0167-7152(88)90032-6zbMath0655.62008OpenAlexW2003018724MaRDI QIDQ1109444

Ursula Gather

Publication date: 1988

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(88)90032-6

zbMATH Keywords

order statisticsexponential distributioncharacterizationNBUNWU

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (12)

Characterizations of Distributions by Linear Forms of Order Statistics ⋮ Effects of an outlier for estimation in a uniform distribution ⋮ Characterization of the exponential distribution by properties of the difference \(X_{k+s:n}-X_{k:n}\) of order statistics ⋮ A two-point condition for characterizing the exponential distribution by means of identically distributed properties related to order statistics ⋮ On residual lifetime of coherent systems after the \(r\)th failure ⋮ Characterizations of the exponential distribution by the concept of residual life at random time ⋮ Some unified characterization results on generalized Pareto distributions ⋮ On distributions Of generalized order statistics ⋮ On a characterization of the uniform distribution by generalized order statistics ⋮ Two characteristic properties of the exponential distribution based on order statistics ⋮ On the stochastic and dependence properties of the three-state systems ⋮ Characterization of the exponential distribution function by properties of the difference \(X_{k+s:n}- X_{k:n}\) of order statistics

Cites Work

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• On the Markov property of order statistics
• A characterization of the exponential distribution by higher order gap
• Characterizations of probability distributions. A unified approach with an emphasis on exponential and related models
• On a characterization of the exponential distribution by order statistics
• Characterization of the exponential and the pareto distributions by means of some properties of the distributions which the differences and quotients of order statistics are subject to

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