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

DOI10.1007/s11766-021-3933-0zbMath1488.60026arXiv1909.13477OpenAlexW3174265329MaRDI QIDQ2244352

Zheng Li, Da-li Liu, Zeng-Jing Chen, Han Chao Wang

Publication date: 12 November 2021

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.13477

zbMATH Keywords

Stein's methodexchangeable pairsnon-uniform Berry-Esseen bounds

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05)

Related Items (1)

An improvement of a nonuniform bound for unbounded exchangeable pairs

Cites Work

• Unnamed Item
• Nonnormal approximation by Stein's method of exchangeable pairs with application to the Curie-Weiss model
• A new method of normal approximation
• A central limit theorem for generalized quadratic forms
• On coupling constructions and rates in the CLT for dependent summands with applications to the antivoter model and weighted \(U\)-statistics
• Berry-Esseen bounds of normal and nonnormal approximation for unbounded exchangeable pairs
• Asymptotic distribution of quadratic forms
• Normal approximation under local dependence.
• The Berry-Esseen bound for character ratios
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• A short survey of Stein's method
• Berry-Esseen Inequality for Unbounded Exchangeable Pairs
• A non-uniform Berry-Esseen bound via Stein's method

This page was built for publication: Non-uniform Berry-Esseen bound by unbounded exchangeable pairs approach