On the Quenched CLT for Stationary Markov Chains
نویسندگان
چکیده
In this paper, we give sufficient conditions for the almost sure central limit theorem started at a point, known under name of quenched theorem. This is achieved by using new idea conditioning with respect to both past and future Markov chain. As applications, provide projective condition CLT.
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ژورنال
عنوان ژورنال: Journal of Theoretical Probability
سال: 2023
ISSN: ['1572-9230', '0894-9840']
DOI: https://doi.org/10.1007/s10959-023-01241-0