Characterizations of distributions via linearity of regression of generalized order statistics

DOI10.1007/s001840300263zbMath1042.62004OpenAlexW2050343700MaRDI QIDQ1434494

Mariusz Bieniek, Dominik Szynal

Publication date: 7 July 2004

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001840300263

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items (14)

On some models of ordered random variables and characterizations of distributions ⋮ Characterizations via regression of generalized order statistics ⋮ On the quotient moment of lower generalized order statistics and characterization ⋮ On the unique characterization of continuous distributions by single regression of non-adjacent generalized order statistics ⋮ On the problem of the unique characterization of discrete distributions by single regression of weak records ⋮ Unnamed Item ⋮ On characterization of certain distributions of \(k\)th lower (upper) record values ⋮ Linearity of regression for overlapping order statistics ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A NOTE ON CHARACTERIZATIONS OF DISTRIBUTIONS BY REGRESSIONS OF NON-ADJACENT GENERALIZED ORDER STATISTICS ⋮ On characterizations of distributions by regression of adjacent generalized order statistics ⋮ Uniqueness of characterization of absolutely continuous distributions by regressions of generalized order statistics ⋮ Characterizations of Continuous Distributions Based on Conditional Expectation of Generalized Order Statistics

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