Bootstrapping \(U\)-statistics: applications in least squares and robust regression

DOI10.1007/s13571-012-0043-2zbMath1257.62050OpenAlexW2041554271MaRDI QIDQ1940900

Wenyu Jiang, John D. Kalbfleisch

Publication date: 8 March 2013

Published in: Sankhyā. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13571-012-0043-2

zbMATH Keywords

\(U\)-statisticsresampling methodsestimating functionsleast-squares regressionpivotalStudentization\(L_a\) estimationWilcoxon rank regression

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Nonparametric tolerance and confidence regions (62G15) Nonparametric statistical resampling methods (62G09)

Related Items

Small sample inference for probabilistic index models

Cites Work

• Unnamed Item
• Unnamed Item
• Laws of large numbers for bootstrapped U-statistics
• On the Edgeworth expansion and the bootstrap approximation for a Studentized U-statistic
• The order of the normal approximation for a Studentized U-statistic
• Almost sure convergence of generalized U-statistics
• Some invariance principles relating to jackknifing and their role in sequential analysis
• Bootstrap methods: another look at the jackknife
• A simple resampling method by perturbing the minimand
• Statistical inference based on non-smooth estimating functions
• Approximation Theorems of Mathematical Statistics
• Implementation of Estimating Function-Based Inference Procedures With Markov Chain Monte Carlo Samplers
• On Some Convergence Properties of UStatistics
• A resampling method based on pivotal estimating functions
• Markov Chain Marginal Bootstrap
• The estimating function bootstrap
• Jackknifing $U$-Statistics
• A Class of Statistics with Asymptotically Normal Distribution