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On the CLT for stationary Markov chains with trivial tail sigma field

Probability 2022-09-01 v1

Abstract

In this paper we consider stationary Markov chains with trivial two-sided tail sigma field, and prove that additive functionals satisfy the central limit theorem provided the variance of partial sums divided by n is bounded.

Keywords

Cite

@article{arxiv.2208.14532,
  title  = {On the CLT for stationary Markov chains with trivial tail sigma field},
  author = {Magda Peligrad},
  journal= {arXiv preprint arXiv:2208.14532},
  year   = {2022}
}

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11 pages