U-statistics on Winsorized and trimmed samples

DOI10.1016/0167-7152(90)90036-7zbMath0703.62023OpenAlexW2031523738MaRDI QIDQ916243

Noël Veraverbeke, Paul Janssen, Robert J. Serfling

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0167-7152(90)90036-7

zbMATH Keywords

asymptotic normalityU-statisticstrimmed meanconditional limit theoremrobustified statisticsuniform of central limit theoremWinsorized mean

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Robustness and adaptive procedures (parametric inference) (62F35)

Related Items (4)

Berry-Esseen type bounds for trimmed \(U\)-statistics ⋮ Asymptotic distributions of non-degenerate U-statistics on trimmed samples ⋮ Non-Gaussian limit distributions forU-statistics based on trimmed and Winsorized samples ⋮ Some asymptotic results for trimmed \(U\)-statistics

Cites Work

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• Weak and strong representations for trimmed U-statistics
• Descriptive statistics for non-parametric models. III: Dispersion
• Asymptotic normality of U-statistics based on trimmed samples
• On Some Robust Estimates of Location
• A New Proof of the Bahadur Representation of Quantiles and an Application
• The 1972 Wald Lecture Robust Statistics: A Review
• A Class of Statistics with Asymptotically Normal Distribution

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