非齐次树上马氏链的若干强偏差定理

A class of strong deviation theorems for Markov chain fields on a non-homogenous tree

通过构造适当的非负鞅,将Doob鞅收敛定理应用于几乎处处收敛的研究,给出了一类非齐次树上马氏链场加权和滑动平均的若干强偏差定理.

In this paper, through constructing a non-negative martingale and applies Doob′s martingale con-vergence theorem to the research of a.e. convergence, a class of strong deviation theorems of moving averages of weighted sums for Markov chain fields on a non-homogenous tree are given.