Functional Central Limit Theorem via Nonstationary Projective Conditions
نویسندگان
چکیده
In this paper we survey some recent progress on the Gaussian approximation for nonstationary dependent structures via martingale methods. First, present general theorems involving projective conditions triangular arrays of random variables and then various applications rho-mixing alpha-dependent arrays, stationary sequences in a time scenery, application to quenched FCLT, linear statistics with innovations, functions Markov chain.
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ژورنال
عنوان ژورنال: Progress in probability
سال: 2023
ISSN: ['1050-6977', '2297-0428']
DOI: https://doi.org/10.1007/978-3-031-26979-0_10