Characterizations via Linear Regression of Ordered Random Variables: A Unifying Approach

DOI10.1081/STA-200038832zbMath1087.62010OpenAlexW1984628655WikidataQ59180250 ScholiaQ59180250MaRDI QIDQ5290389

Udo Kamps, Claudia Keseling, Erhard Cramer

Publication date: 28 April 2006

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

Full work available at URL: https://doi.org/10.1081/sta-200038832

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 (12)

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 ⋮ Generalized integrated Cauchy functional equation with applications to probability models ⋮ Linearity of regression for overlapping order statistics ⋮ 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 ⋮ Dependence structure of generalized order statistics ⋮ Characterizations of Continuous Distributions Based on Conditional Expectation of Generalized Order Statistics

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