Characterization of the exponential distribution function by properties of the difference \(X_{k+s:n}- X_{k:n}\) of order statistics
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Publication:1324984
DOI10.1007/BF01895297zbMath0793.62011OpenAlexW2068330951MaRDI QIDQ1324984
Hans-Joachim Rossberg, Manfred Riedel
Publication date: 7 July 1994
Published in: Metrika (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/176488
order statisticsexponential distributionregular variationcharacterizationcontinuous distributionsasymptotic assumptions
Related Items (9)
Random translations, contractions and dilations of order statistics and records ⋮ 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 ⋮ Characterizations of the exponential distribution by the concept of residual life at random time ⋮ On asymptotic efficiency of exponentiality tests based on Rossberg's characterization ⋮ Random shifts and scalings ofm-generalized order statistics ⋮ Switching record and order statistics via random contractions ⋮ A wide review on exponentiality tests and two competitive proposals with application on reliability ⋮ Two characteristic properties of the exponential distribution based on 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
- On a characterization of the exponential distribution by properties of 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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