Generalized bootstrap for studentized U-statistics: A rank statistic approach

DOI10.1016/0167-7152(93)90147-BzbMath0777.62044MaRDI QIDQ1209698

Marie Hušková, Paul Janssen

Publication date: 16 May 1993

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

zbMATH Keywords

consistencyresampling\(U\)-statisticsrank statisticsunified approachgeneralized bootstrapdistribution approximationgeneralized bootstrapped meansstudentized \(U\)-statistics

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Nonparametric statistical resampling methods (62G09)

Related Items

Weighted bootstrapping of \(U\)-statistics, Weighted bootstrap for \(U\)-statistics, Weighted bootstrapping for \(U\)-quantiles, Jackknife multiplier bootstrap: finite sample approximations to the \(U\)-process supremum with applications, Bootstrap and permutation tests of independence for point processes, Generalized bootstrap for estimators of minimizers of convex functions, The convergence rates of the weighted bootstrap distributions for von Mises andU-statistics, DESIGN BASED INCOMPLETE U-STATISTICS, Gaussian and bootstrap approximations for high-dimensional U-statistics and their applications, Randomized incomplete \(U\)-statistics in high dimensions, Unnamed Item, Rates of convergence for U-statistic processes and their bootstrapped versions

Cites Work

• On the Edgeworth expansion and the bootstrap approximation for a Studentized U-statistic
• Some asymptotic theory for the bootstrap
• The order of the normal approximation for a Studentized U-statistic
• A rank statistics approach to the consistency of a general bootstrap
• Resampling \(U\)-statistics using \(p\)-stable laws
• Some Extensions of the Wald-Wolfowitz-Noether Theorem
• Jackknifing $U$-Statistics
• A Class of Statistics with Asymptotically Normal Distribution