Inequalities for variances of order statistics originating from urn models

DOI10.1017/JPR.2015.16zbMath1338.60018OpenAlexW2299191568MaRDI QIDQ2804421

Krzysztof Jasiński, Tomasz Rychlik

Publication date: 29 April 2016

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jap/1457470566

zbMATH Keywords

order statisticsvarianceoptimal bounddrawing without replacementdrawing with replacement

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Statistics of extreme values; tail inference (62G32) Combinatorial probability (60C05)

Related Items (1)

OPTIMAL MOMENT INEQUALITIES FOR ORDER STATISTICS FROM NONNEGATIVE RANDOM VARIABLES

Cites Work

• Bounds on dispersion of order statistics based on dependent symmetrically distributed random variables
• Extreme variances of order statistics in dependent samples
• Lower bounds on expectations of positive \(L\)-statistics from without-replacement models
• Variances of sample medians
• A note on maximum variance of order statistics from symmetric populations
• Bounds on expectation of order statistics from a finite population
• Maximum variance of order statistics
• 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
• Maximum variance of order statistics from symmetric populations revisited
• A Note on the Upper Bound to Variance of the Sample Extreme from a Finite Population
• Extremal Properties of Extreme Value Distributions

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