The convergence rates of the weighted bootstrap distributions for von Mises andU-statistics

DOI10.1080/10485250802280259zbMath1147.62334OpenAlexW2169642862MaRDI QIDQ3535706

Xingzhong Xu, Shuran Zhao, Xiaobo Ding

Publication date: 14 November 2008

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485250802280259

zbMATH Keywords

\(U\)-statisticsDirichlet distributionvon Mises statistics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Nonparametric statistical resampling methods (62G09)

Cites Work

• Empirical likelihood ratio confidence regions
• On the Edgeworth expansion and the bootstrap approximation for a Studentized U-statistic
• On a second-order asymptotic property of the Bayesian bootstrap mean
• A rank statistics approach to the consistency of a general bootstrap
• Generalized bootstrap for studentized U-statistics: A rank statistic approach
• The Berry-Esseen theorem for U-statistics
• Bootstrap methods: another look at the jackknife
• A simple consistent bootstrap test for a parametric regression function
• Consistency of the generalized bootstrap for degenerate \(U\)-statistics
• Weighted bootstrapping of \(U\)-statistics
• Random quadratic forms and the bootstrap for \(U\)-statistics
• Weighted bootstrapping for \(U\)-quantiles
• Approximation Theorems of Mathematical Statistics
• Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$
• Bounds on Moments of Certain Random Variables
• A Class of Statistics with Asymptotically Normal Distribution

This page was built for publication: The convergence rates of the weighted bootstrap distributions for von Mises andU-statistics