Quantile Inequalities for the Expectations of GeneralizedL-Statistics

DOI10.1080/03610926.2012.697242zbMath1302.62110OpenAlexW1969819042MaRDI QIDQ2931548

Tomasz Rychlik

Publication date: 26 November 2014

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

Full work available at URL: https://doi.org/10.1080/03610926.2012.697242

zbMATH Keywords

order statisticsJensen inequalitygeneralized order statisticsconvex orderBrunk inequalitySteffensen-Jensen inequality

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

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• Stochastic orders
• Marginal distributions of sequential and generalized order statistics
• On the existence of moments of generalized order statistics.
• Integral inequalities for functions with nondecreasing increments
• Some inequalities for starshaped and convex functions
• On distributions Of generalized order statistics
• On the Moments of the Sample Quantiles
• On Families of Distributions for Which Optimal Bounds on Expectations of GOS Can be Derived
• ON THE EXPECTED VALUES OF RECORD VALUES¹
• Analytic Inequalities

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