Bernstein-type Inequalities for Markov Chains and Markov Processes: A Simple and Robust Proof
Probability
2025-10-07 v4
Abstract
We establish a new Bernstein-type deviation inequality for general (non-reversible) discrete-time Markov chains via an elementary approach. More robust than existing works in the literature, our result only requires the Markov chain to satisfy an iterated Poincar\'e inequality. Moreover, our method can be readily generalized to continuous-time Markov processes.
Cite
@article{arxiv.2408.04930,
title = {Bernstein-type Inequalities for Markov Chains and Markov Processes: A Simple and Robust Proof},
author = {De Huang and Xiangyuan Li},
journal= {arXiv preprint arXiv:2408.04930},
year = {2025}
}
Comments
16 pages