Weak and strong representations for trimmed U-statistics
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Publication:1089989
DOI10.1007/BF00334036zbMath0621.60034OpenAlexW1988405800MaRDI QIDQ1089989
Irène Gijbels, Noël Veraverbeke, Paul Janssen
Publication date: 1988
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00334036
Related Items (11)
\(U\)-processes indexed by Vapnik-Červonenkis classes of functions with applications to asymptotics and bootstrap of \(U\)-statistics with estimated parameters ⋮ Approximation to the expectation of a function of order statistics and its applications ⋮ Asymptotic Results for U-Functions of Concomitants of Order Statistics ⋮ Asymptotic distributions for a class of generalized \(L\)-statistics ⋮ When copulas and smoothing met: an interview with Irène Gijbels ⋮ U-statistics on Winsorized and trimmed samples ⋮ 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 ⋮ The Bahadur-Kiefer representation for \(U\)-quantiles ⋮ Some asymptotic results for trimmed \(U\)-statistics
Cites Work
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- Generalized L-, M-, and R-statistics
- Glivenko-Cantelli properties of some generalized empirical DF's and strong convergence of generalized L-statistics
- Generalized order statistics, Bahadur representations, and sequential nonparametric fixed-width confidence intervals
- On the asymptotic normality of statistics with estimated parameters
- Asymptotic normality of U-statistics based on trimmed samples
- Approximation Theorems of Mathematical Statistics
- A New Proof of the Bahadur Representation of Quantiles and an Application
- Weak Convergence of $U$-Statistics and Von Mises' Differentiable Statistical Functions
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