An improvement of a nonuniform bound for unbounded exchangeable pairs

Abstract In this paper, we obtain a nonuniform Berry–Esseen bound for a normal approximation via the Stein method and the exchangeable-pair coupling technique where the boundedness condition of the difference between the exchangeable pair is not required. As applications of the result, we obtain non...

Full description

Bibliographic Details
Main Authors: Patcharee Sumritnorrapong, Jiraphan Suntornchost
Format: Article
Language:English
Published: SpringerOpen 2023-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-023-02915-3