Switching record and order statistics via random contractions

DOI10.1016/j.spl.2005.03.004zbMath1131.62304OpenAlexW2095584562MaRDI QIDQ2483889

Funda Aygun, Sevgi Yurt Oncel, Fazil Alioglu Aliev, Mohammad Ahsanullah

Publication date: 1 August 2005

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

Full work available at URL: https://doi.org/10.1016/j.spl.2005.03.004

zbMATH Keywords

Weibull distributionPareto distributionPower distributionRecords statistics

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32) Characterization and structure theory of statistical distributions (62E10)

Related Items (11)

Random translations, contractions and dilations of order statistics and records ⋮ Predicting future order statistics with random sample size ⋮ Characterizations by Power Contractions of Order Statistics ⋮ Unnamed Item ⋮ Random Contraction and Random Dilation of Generalized Order Statistics ⋮ Random translation, dilation and contraction of order statistics ⋮ Random shifts and scalings ofm-generalized order statistics ⋮ Characterizations through generalized and dual generalized order statistics, with an application to statistical prediction problem ⋮ A new characterization of the power distribution ⋮ Random Translation of Records from Geometric Distributions ⋮ Random translation of discrete order statistics

Cites Work

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• On characterizations of beta and gamma distributions
• Note on a characterization of exponential distributions
• Characterization of the exponential distribution function by properties of the difference \(X_{k+s:n}- X_{k:n}\) of order statistics
• Characterization of the exponential distribution by properties of the difference \(X_{k+s:n}-X_{k:n}\) of order statistics
• Characterizations, length-biasing, and infinite divisibility
• ON CHARACTERIZATIONS THROUGH MIXED SUMS
• A Characterization of the Gumbel Distribution Based on Record Values
• Switching Order Statistics through Random Power Contractions
• OPERATOR METHODS IN ORDER STATISTICS

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