Random translation, dilation and contraction of order statistics

DOI10.1016/J.SPL.2014.05.025zbMath1291.62039OpenAlexW1964972349MaRDI QIDQ2251708

Imtiyaz A. Shah, A. H. Khan, H. M. Barakat

Publication date: 15 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.spl.2014.05.025

zbMATH Keywords

order statisticscharacterization of distributionsrandom contractionrandom translationrandom dilation

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items (7)

New tests for exponentiality based on a characterization with random shift ⋮ A characterization of exponential distribution and the Sukhatme-Rényi decomposition of exponential maxima ⋮ Predicting future order statistics with random sample size ⋮ Translation, contraction and dilation of dual generalized order statistics ⋮ Unnamed Item ⋮ Characterizations through generalized and dual generalized order statistics, with an application to statistical prediction problem ⋮ CHARACTERIZATION OF DISTRIBUTIONS BY EQUALITIES OF TWO GENERALIZED OR DUAL GENERALIZED ORDER STATISTICS

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• Finite- and infinite-time ruin probabilities in the presence of stochastic returns on investments
• Switching Order Statistics through Random Power Contractions
• Distributional Properties of Order Statistics and Record Statistics

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