%0 Journal Article
%T Bounds on Regeneration Times and Limit Theorems for Subgeometric Markov Chains
%A Randal Douc
%A Arnaud Guillin
%A Eric Moulines
%J Mathematics
%D 2006
%I arXiv
%X This paper studies limit theorems for Markov Chains with general state space under conditions which imply subgeometric ergodicity. We obtain a central limit theorem and moderate deviation principles for additive not necessarily bounded functional of the Markov chains under drift and minorization conditions which are weaker than the Foster-Lyapunov conditions. The regeneration-split chain method and a precise control of the modulated moment of the hitting time to small sets are employed in the proof.
%U http://arxiv.org/abs/math/0601036v1