A NOTE ON CHARACTERIZATIONS OF DISTRIBUTIONS BY REGRESSIONS OF NON-ADJACENT GENERALIZED ORDER STATISTICS

DOI10.1111/J.1467-842X.2008.00530.XzbMath1334.62028MaRDI QIDQ2802730

Mariusz Bieniek

Publication date: 27 April 2016

Published in: Australian & New Zealand Journal of Statistics (Search for Journal in Brave)

zbMATH Keywords

characterizationconditional expectationgeneralized order statisticsMeijer's \({\mathsf G}\)-function

Mathematics Subject Classification ID

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

Related Items (5)

Characterizations via regression of generalized order statistics ⋮ 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 ⋮ 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

Cites Work

• Unnamed Item
• On characterizations of distributions by regression of adjacent generalized order statistics
• Characterizations of distributions via linearity of regression of generalized order statistics
• Marginal distributions of sequential and generalized order statistics
• Unimodality of uniform generalized order statistics, with applications to mean bounds
• A concept of generalized order statistics
• Some characterization results based on the conditional expectation of function of non-adjacent order statistic (record value)
• Characterizations via Linear Regression of Ordered Random Variables: A Unifying Approach

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