Displaying similar documents to “Chernoff and Berry–Esséen inequalities for Markov processes”

Chernoff and Berry–Esséen inequalities for Markov processes

Pascal Lezaud (2001)

ESAIM: Probability and Statistics

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In this paper, we develop bounds on the distribution function of the empirical mean for general ergodic Markov processes having a spectral gap. Our approach is based on the perturbation theory for linear operators, following the technique introduced by Gillman.