Inequalities for functions of order statistics under an additive model

zbMath0539.62055MaRDI QIDQ794101

Norman L. Smith, Y. L. Tong

Publication date: 1983

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

monotonicityinequalitiesconvexityadditive modellinear combination of functions of order statisticsMajorization

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30)

Related Items (3)

Inequalities for ordered sums ⋮ Bounds for expectation of l-estimates for dependent samples ⋮ General bounds and inequalities in order statistics

Cites Work

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• Schur functions in statistics. II: Stochastic majorization
• Bounds on expectations of linear systematic statistics based on dependent samples
• A generalized monotone character of d.f.'s and moments of statistics from some well-known populations
• Moments of Order Statistics from the Equicorrelated Multivariate Normal Distribution
• Universal Bounds for Mean Range and Extreme Observation
• Inequalities: theory of majorization and its applications

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