Weighted bootstrap for \(U\)-statistics

DOI10.1016/J.JMVA.2004.01.002zbMath1091.62029OpenAlexW2027294841MaRDI QIDQ1888328

Qiying Wang, Bing-Yi Jing

Publication date: 23 November 2004

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2004.01.002

zbMATH Keywords

BootstrapEdgeworth expansionWeighted \(U\)-statistic

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric statistical resampling methods (62G09) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (7)

Jackknife multiplier bootstrap: finite sample approximations to the \(U\)-process supremum with applications ⋮ Dependent multiplier bootstraps for non-degenerate \(U\)-statistics under mixing conditions with applications ⋮ Weighted bootstrap for two-sample \(U\)-statistics ⋮ Robust high-dimensional tuning free multiple testing ⋮ Change-point inference for high-dimensional heteroscedastic data ⋮ Gaussian and bootstrap approximations for high-dimensional U-statistics and their applications ⋮ Randomized incomplete \(U\)-statistics in high dimensions

Cites Work

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• On the Edgeworth expansion and the bootstrap approximation for a Studentized U-statistic
• On a second-order asymptotic property of the Bayesian bootstrap mean
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• A rank statistics approach to the consistency of a general bootstrap
• Generalized bootstrap for studentized U-statistics: A rank statistic approach
• Consistency of the generalized bootstrap for degenerate \(U\)-statistics
• A Bayesian method for weighted sampling
• Weighted bootstrapping of \(U\)-statistics
• Random quadratic forms and the bootstrap for \(U\)-statistics
• The weighted bootstrap
• An Edgeworth expansion for symmetric statistics
• Empirical Edgeworth expansions for symmetric statistics
• Resampling \(U\)-statistics using \(p\)-stable laws
• The Edgeworth expansion for U-statistics of degree two
• On the Strong Law of Large Numbers and Related Results for Quasi-Stationary Sequences
• EDGEWORTH EXPANSIONS FOR FUNCTIONALS OF U-STATISTICS
• A Class of Statistics with Asymptotically Normal Distribution

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