The Berry-Esseen bound for studentized U-statistics
type: Item
instance of: scholarly article
title: The Berry-Esseen bound for studentized U-statistics
zbMATH Open document ID: 1003.60027
DOI: 10.1007/BF02872193
published in: Science in China. Series A
publication date: 2002-08-15T00:00:00Z
review text: This paper establishes a Berry-Esseen type bound of order \(O(n^{-\delta/2})\) for the studentized form of U-statistics of degree 2 assuming only the existence of the \((2+\delta)\)th moment of the kernel.
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 62E20
zbMATH DE Number: 1782017
zbMATH Keywords: Berry-Esseen bound
zbMATH Keywords: U-statistic
author: Zhengyan Lin
reviewed by: Neville Weber
MaRDI profile type: Publication
cites work: Jackknifing $U$-Statistics
cites work: The order of the normal approximation for a Studentized U-statistic
cites work: Q3660671
cites work: Q3902333
cites work: Approximation Theorems of Mathematical Statistics
cites work: Q4085018
description: scientific article; zbMATH DE number 1782017