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Moderate deviations for empirical measures for nonhomogeneous Markov chains

Probability 2020-10-16 v1 Statistics Theory Statistics Theory

Abstract

We prove that moderate deviations for empirical measures for countable nonhomogeneous Markov chains hold under the assumption of uniform convergence of transition probability matrices for countable nonhomogeneous Markov chains in Ces\`aro sense.

Keywords

Cite

@article{arxiv.2010.07501,
  title  = {Moderate deviations for empirical measures for nonhomogeneous Markov chains},
  author = {Mingzhou Xu and Kun Cheng},
  journal= {arXiv preprint arXiv:2010.07501},
  year   = {2020}
}

Comments

8 pages

R2 v1 2026-06-23T19:21:51.431Z