Weighted approximations for Studentized \(U\)-statistics

DOI10.1214/12-BJPS192zbMath1426.62102arXiv0906.5101MaRDI QIDQ2448566

Masoud M. Nasari

Publication date: 2 May 2014

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.5101

zbMATH Keywords

weak convergenceWiener processjackknife estimationnondegenerate \(U\)-statistics

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Bootstrap, jackknife and other resampling methods (62F40)

Related Items

Subsampling based inference for \(U\) statistics under thick tails using self-normalization ⋮ Weighted approximations for Studentized \(U\)-statistics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On normal approximations to \(U\)-statistics
• On weighted approximations in \(D[0,1\) with applications to self-normalized partial sum processes]
• Asymptotics of Studentized \(U\)-type processes for changepoint problems
• Weighted empirical and quantile processes
• Asymptotic theory of U-statistics
• When is the Student \(t\)-statistic asymptotically standard normal?
• Functional asymptotic confidence intervals for a common mean of independent random variables
• On weak approximations of \(U\)-statistics
• Weighted approximations for Studentized \(U\)-statistics
• A Martingale Inequality and the Law of Large Numbers
• Approximation Theorems of Mathematical Statistics
• Probability: A Graduate Course
• Jackknife Empirical Likelihood
• Jackknifing $U$-Statistics
• Weak Convergence of $U$-Statistics and Von Mises' Differentiable Statistical Functions
• A Class of Statistics with Asymptotically Normal Distribution