Sharp upper bounds for the expected values of non-extreme order statistics from discrete distributions

DOI10.1016/J.JSPI.2007.11.017zbMath1149.60012OpenAlexW2053322580MaRDI QIDQ951018

Tomasz Rychlik, Fernando López-Blázquez

Publication date: 29 October 2008

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2007.11.017

zbMATH Keywords

approximationprojectionorder statisticfinite populationi.i.d. samplemean-variance bound

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sampling theory, sample surveys (62D05) Statistics of extreme values; tail inference (62G32) Best approximation, Chebyshev systems (41A50)

Related Items (3)

Sharp bounds on the expectations of L-statistics expressed in the Gini mean difference units ⋮ Lower bounds on expectations of positive \(L\)-statistics from without-replacement models ⋮ Bounds on expectations of small order statistics from decreasing density populations

Cites Work

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• Discrete distributions with maximum expected value of the maximum
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• Bounds on expectations of \(L\)-statistics from without replacement samples
• Bounds for the expected value of spacings from discrete distributions
• Lower bounds on expectations of positiveL-statistics based on samples drawn with replacement
• Optimal bounds onl-statistics based on samples drawn with replacement from finite populations
• A Modification of Schwarz's Inequality with Applications to Distributions
• Projecting statistical functionals

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