Some asymptotic results for trimmed \(U\)-statistics

DOI10.1007/BF02465815zbMath0949.62036OpenAlexW2319387915MaRDI QIDQ1567887

A. K. Aleshkyavichene

Publication date: 19 July 2000

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02465815

zbMATH Keywords

rate of convergenceasymptotic representationtrimmed U-statistics

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (2)

Berry-Esseen type bounds for trimmed \(U\)-statistics ⋮ Asymptotic distributions of non-degenerate U-statistics on trimmed samples

Cites Work

• Limit theorems for \(U\)-processes
• Generalized L-, M-, and R-statistics
• U-statistics on Winsorized and trimmed samples
• Weak and strong representations for trimmed U-statistics
• On the asymptotic normality of statistics with estimated parameters
• Asymptotic normality of U-statistics based on trimmed samples
• Approximation Theorems of Mathematical Statistics
• A New Proof of the Bahadur Representation of Quantiles and an Application
• A Class of Statistics with Asymptotically Normal Distribution

This page was built for publication: Some asymptotic results for trimmed \(U\)-statistics