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arXiv · 2408.04930

Bernstein-type Inequalities for Markov Chains and Markov Processes: A Simple and Robust Proof

De Huang·Xiangyuan Li
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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.

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De Huang, Xiangyuan Li. 2024-08-09. Bernstein-type Inequalities for Markov Chains and Markov Processes: A Simple and Robust Proof. https://arxiv.org/abs/2408.04930

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