Non-uniform Berry-Esseen theorems for weakly dependent random variables
Probability
2026-05-12 v5 Dynamical Systems
Abstract
We obtain non-uniform Berry-Esseen type estimates for several classes of weakly dependent sequences of random variables, including uniformly elliptic inhomogeneous Markov chains, random and time-varying (partially) hyperbolic or expanding dynamical systems, products of random matrices and some classes of local statistics.
Cite
@article{arxiv.2210.07204,
title = {Non-uniform Berry-Esseen theorems for weakly dependent random variables},
author = {Yeor Hafouta},
journal= {arXiv preprint arXiv:2210.07204},
year = {2026}
}
Comments
Added more details to some of the examples