Rates of convergence for U-Statistics with varying kernels

DOI10.1017/S0004972700011230zbMath0407.60012OpenAlexW2124861949MaRDI QIDQ4194191

Neville C. Weber

Publication date: 1980

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700011230

zbMATH Keywords

Limit TheoremRates of ConvergenceU-Statistic

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Limit theorems in probability theory (60F99)

Related Items (2)

Short distances on the line ⋮ An Asymptotic Characterization of Finite Degree U-statistics With Sample Size-Dependent Kernels: Applications to Nonparametric Estimators and Test Statistics

Cites Work

• On an L\(_p\) version of the Berry-Esseen theorem for independent and m- dependent variables
• Asymptotic normality of the number of small distances between random points in a cube
• \(L_1\) rates of convergence for linear rank statistics
• The Berry-Esseen theorem for U-statistics
• Short distances, flat triangles and Poisson limits

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