Asymptotic normality of U-statistics based on trimmed samples

DOI10.1016/0378-3758(87)90056-5zbMath0617.62016OpenAlexW2004301828MaRDI QIDQ1822157

Paul Janssen, Noël Veraverbeke, Robert J. Serfling

Publication date: 1987

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(87)90056-5

zbMATH Keywords

asymptotic normalityU-statisticsrobust estimationasymmetric kernelmulti-sample casetrimmed sample

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Robustness and adaptive procedures (parametric inference) (62F35)

Related Items (13)

\(U\)-processes indexed by Vapnik-Červonenkis classes of functions with applications to asymptotics and bootstrap of \(U\)-statistics with estimated parameters ⋮ Weak and strong representations for trimmed U-statistics ⋮ Approximation to the expectation of a function of order statistics and its applications ⋮ Almost sure representations of weightedU-statistics with applications ⋮ U-statistics on Winsorized and trimmed samples ⋮ Efficient and Robust Fitting of Lognormal Distributions ⋮ A contribution to multivariate L-moments: L-comoment matrices ⋮ Berry-Esseen type bounds for trimmed \(U\)-statistics ⋮ On the Edgeworth expansion for elementary polynomials based on trimmed samples ⋮ 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 ⋮ Bootstrapping u - statistics with estimated parameters

Cites Work

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• Asymptotic normality for a general class of statistical functions and applications to measures of spread
• Generalized L-, M-, and R-statistics
• On the asymptotic normality of statistics with estimated parameters
• Descriptive statistics for nonparametric models. II: Location
• Descriptive statistics for non-parametric models. III: Dispersion
• Hodges-Lehmann estimate of the location parameter in censored samples
• Basic distribution theory for nonparametric gini-like measures of location and dispersion
• On the Trimmed Mann-Whitney Statistic
• On Some Robust Estimates of Location
• Robust Estimates of Location: Symmetry and Asymmetric Contamination
• A New Proof of the Bahadur Representation of Quantiles and an Application
• A Class of Statistics with Asymptotically Normal Distribution

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