论文标题

在静止的马尔可夫链的淬火CLT上

On the quenched CLT for stationary Markov chains

论文作者

Peligrad, Magda

论文摘要

在本文中,我们为几乎确定的中心限制定理提供了足够的条件,以淬灭中央限制定理的名称而闻名。这是通过使用马尔可夫链的过去和未来的新想法来实现的。作为应用程序,我们为淬火的CLT提供了新的足够的投影条件。

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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