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On the quenched CLT for stationary Markov chains
Magda Peligrad · 2022-09-02 · via math.PR updates on arXiv.org

In this paper we give sufficient conditions for the almost sure central limit theorem started at a point, known under the name of quenched central limit theorem. This is achieved by using a new idea of conditioning with respect to both the past and the future of the Markov chain. As applications we provide a new sufficient projective conditions for the quenched CLT.

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