Non-uniform Berry-Esseen bound by unbounded exchangeable pairs approach

• 作者: LIU Da-li LI Zheng WANG Han-chao CHEN Zeng-jing
• 来源期刊: 高校应用数学学报B辑（英文版）
• 年，卷（期）: 2021,（2）
• 页码范围: 256-268
• 页数: 13页
• 语种: 英文
• DOI: 10.3969/j.issn.1005-1031.2021.02.008

摘要

In this paper,a new technique is introduced to obtain non-uniform Berry-Esseen bounds for normal and nonnormal approximations by unbounded exchangeable pairs.This technique does not rely on the concentration inequalities developed by Chen and Shao[4,5]and can be applied to the quadratic forms and the general Curie-Weiss model.