Subgaussian concentration inequalities for geometrically ergodic Markov chains

Abstract

We prove that an irreducible aperiodic Markov chain is geometrically ergodic if and only if any separately bounded functional of the stationary chain satisfies an appropriate subgaussian deviation inequality from its mean.

Cited by in corpus (1)

• Ergodicity of Approximate MCMC Chains with Applications to Large Data Sets