Sharp bounds for the expected value of order statistics

DOI10.1016/S0167-7152(96)00116-2zbMath0901.62069MaRDI QIDQ1380573

D. Massart

Publication date: 29 November 1998

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

order statisticsboundsexpected valuegreatest convex minorantSchwarz inequality

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30)

Related Items (5)

Inequalities for expected extreme order statistics ⋮ Monotonicity properties of certain expected extreme order statistics ⋮ Evaluating expectations of \(L\)-statistics by the Steffensen inequality ⋮ Bounds for means and variances of progressive type II censored order statistics ⋮ Bounds on expectations of small order statistics from decreasing density populations

Cites Work

• Unnamed Item
• A simple application of binomial -- negative binomial relationship in the derivation of sharp bounds for moments of order statistics based on greatest convex minorants
• A Modification of Schwarz's Inequality with Applications to Distributions

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