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中文摘要：
本文研究了任意随机组列的极限性质. 利用构造鞅的方法得到了任意随机组列的强极限定理,所得结果推广了任意随机适应序列和树上非齐次马氏链的强极限定理.
英文摘要：
In this article, we study the limit property of arbitrary stochastic arrays. By constructing a non-negative martingale, we get a strong limit theorem for arbitrary stochastic arrays, which is an extension of the limit theorem for arbitrary stochastic adapted sequences and non-homogeneous Markov chains indexed by a tree.
同期刊论文项目
同项目期刊论文
Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded deg
The asymptotoc equipartition property for nonhomogeneous Markov chains indexed by a homogeneous tree
The strong law of large numbers on the frequencies of states and ordered couples of states for Marko
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