Lower bounds on expectations of positive \(L\)-statistics from without-replacement models

DOI10.1016/j.jspi.2007.11.016zbMath1146.62005OpenAlexW2095057226MaRDI QIDQ951019

Agnieszka Goroncy, Tomasz Rychlik

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.2007.11.016

zbMATH Keywords

order statisticsfinite populationexpectationoptimal bounddrawing without replacement

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sampling theory, sample surveys (62D05) Order statistics; empirical distribution functions (62G30)

Related Items (8)

Stability of \(L\)-statistics from weakly dependent observations ⋮ Scaling properties of weakly self-avoiding fractional Brownian motion in one dimension ⋮ Sharp upper bounds for the expected values of non-extreme order statistics from discrete distributions ⋮ Lower bounds on the expectations of upper record values ⋮ Inequalities for variances of order statistics originating from urn models ⋮ Bounds on expectations of small order statistics from decreasing density populations ⋮ Lower Bounds on Spacings Based on With-Replacement Model ⋮ Optimal upper bounds on expected kth record values from IGFR distributions

Cites Work

• Sharp upper bounds for the expected values of non-extreme order statistics from discrete distributions
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• Bounds for the expected value of spacings from discrete distributions
• Lower bounds on expectations of positiveL-statistics based on samples drawn with replacement
• How deviant can you be? The complete solution
• General bounds and inequalities in order statistics
• Bounds on Differences of Order Statistics
• Sharp bounds on l-estimates and their expectations for dependent samples
• Optimal bounds onl-statistics based on samples drawn with replacement from finite populations
• Inequalities of Chebyshev Type Involving Conditional Expectations
• On the Bounds of the Range of Order Statistics
• THE DISTRIBUTION OF THE EXTREME DEVIATE FROM THE SAMPLE MEAN AND ITS STUDENTIZED FORM
• Bounds for the ratio of range to standard deviation
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