Random Contraction and Random Dilation of Generalized Order Statistics

DOI10.1080/03610920701877594zbMath1143.62010OpenAlexW2051295730MaRDI QIDQ3526073

Udo Kamps, Eric Beutner

Publication date: 24 September 2008

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920701877594

zbMATH Keywords

Mellin transformWeibull distributionPareto distributionpower function distributioncharacterizations of distributionsdistributional equation

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 (15)

Random translations, contractions and dilations of order statistics and records ⋮ Characterization through distributional properties of dual generalized order statistics ⋮ Rényi entropy of m-generalized order statistics ⋮ Power Maps in Goodness-of-fit Testing Based on Censored Samples ⋮ Translation, contraction and dilation of dual generalized order statistics ⋮ Unnamed Item ⋮ On the use of bivariate Mellin transform in bivariate random scaling and some applications ⋮ 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 ⋮ Tail asymptotics under beta random scaling ⋮ A new characterization of the power distribution ⋮ Random Translation of Records from Geometric Distributions ⋮ Random translation of discrete order statistics ⋮ Random Convex Combinations ofm-Generalized Order Statistics

Cites Work

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• DISTRIBUTIONAL CHARACTERIZATIONS THROUGH SCALING RELATIONS
• LENGTH-BIASING, CHARACTERIZATIONS OF LAWS AND THE MOMENT PROBLEM
• Order Statistics
• Switching Order Statistics through Random Power Contractions
• Order statistics in simulation

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