2 papers
math.ST2026
Berry-Esseen Bounds and Moderate Deviations for Catoni-Type Robust Estimation
Zhijun Cai, Xiang Li, Lihu Xu
A powerful robust mean estimator introduced by Catoni (2012) allows for mean estimation of heavy-tailed data while achieving the performance characteristics of classical mean estim…
math.PR2026
Refined Berry-Esseen bounds under local dependence
Zhi-Jun Cai, Qi-Man Shao, Zhuo-Song Zhang
In this paper, we establish Berry--Esseen bounds for both self-normalized and non-self-normalized sums of locally dependent random variables. The proofs are based on Stein's method…