Lower bounds on expectations of positiveL-statistics based on samples drawn with replacement

DOI10.1080/02331880600822382zbMath1098.62060OpenAlexW1975693840MaRDI QIDQ3409018

Tomasz Rychlik, Agnieszka Goroncy

Publication date: 7 November 2006

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331880600822382

zbMATH Keywords

Order statisticsL-statisticsFinite populationExpectationDrawing with replacementOptimal bound

Mathematics Subject Classification ID

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

Related Items (8)

Sharp upper bounds for the expected values of non-extreme order statistics from discrete distributions ⋮ Lower bounds on expectations of positive \(L\)-statistics from without-replacement models ⋮ 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 ⋮ Lower Bounds on PositiveL-Statistics ⋮ Optimal upper bounds on expected kth record values from IGFR distributions

Cites Work

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• Optimal bounds onl-statistics based on samples drawn with replacement from finite populations
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• Analytic Inequalities
• LIMITS OF THE RATIO OF MEAN RANGE TO STANDARD DEVIATION
• A Modification of Schwarz's Inequality with Applications to Distributions
• The Maxima of the Mean Largest Value and of the Range
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• Projecting statistical functionals

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