Exact Bounds for the Bias of Trimmed Means

DOI10.1111/1467-842X.00262zbMath1064.62033OpenAlexW1505403183MaRDI QIDQ4665388

Tomasz Rychlik, Katarzyna Danielak

Publication date: 11 April 2005

Published in: Australian <html_ent glyph="@amp;" ascii="&amp;"/> New Zealand Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-842x.00262

zbMATH Keywords

order statisticsbiastrimmed meanHölder's inequalitySteffensen's inequalityselection differentialMoriguti's inequality

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30)

Related Items (8)

Bounds on expectations of \(L\)-statistics from without replacement samples ⋮ Sharp bounds on the bias of trimean ⋮ Optimal bounds on the bias of quasimidranges ⋮ Optimal bounds onl-statistics based on samples drawn with replacement from finite populations ⋮ BOUNDS ON THE BIAS OF WINSORIZED MEANS ⋮ Evaluating expectations of \(L\)-statistics by the Steffensen inequality ⋮ Comparison of the bias of trimmed and Winsorized means ⋮ Optimal evaluations for the bias of trimmed means of \(k\)th record values

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