Nonuniform Berry-Esseen bounds for studentized U-statistics
type: Item
instance of: scholarly article
title: Nonuniform Berry-Esseen bounds for studentized U-statistics
author: Dennis Leung
author: Q. M. Shao
published in: Bernoulli
publication date: 2024-08-20T00:00:00Z
review text: The authors establish what seems to be the first non-uniform Berry-Esseen bound for studentized \(U\)-statistics. Their bound has rate \(1/\sqrt{n}\) and is derived under a third moment assumption.
reviewed by: Alessandro Selvitella
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60E15
zbMATH DE Number: 7898718
zbMATH Keywords: exponential lower tail bound of non-negative kernel U-statistics
zbMATH Keywords: nonlinear statistics
zbMATH Keywords: nonuniform Berry-Esseen bound
zbMATH Keywords: Stein's method
zbMATH Keywords: studentization
zbMATH Keywords: U-statistics
zbMATH Keywords: variable censoring
MaRDI profile type: Publication
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DOI: 10.3150/23-BEJ1714
description: scientific article; zbMATH DE number 7898718