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math.ST2018
Bernstein's inequalities for general Markov chains
Bai Jiang, Qiang Sun, Jianqing Fan
We establish Bernstein's inequalities for functions of general (general-state-space and possibly non-reversible) Markov chains. These inequalities achieve sharp variance proxies an…
math.ST2018★ 22 cited
Hoeffding's lemma for Markov Chains and its applications to statistical learning
Jianqing Fan, Bai Jiang, Qiang Sun
We extend Hoeffding's lemma to general-state-space and not necessarily reversible Markov chains. Let be a stationary Markov chain with invariant measure and…