潘恒, 杨卫国. Cayley树图上奇偶马氏链场的强极限定理[J]. 应用概率统计, 2011, 27(1): 21-28.
引用本文: 潘恒, 杨卫国. Cayley树图上奇偶马氏链场的强极限定理[J]. 应用概率统计, 2011, 27(1): 21-28.
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Pan Heng, Yang Weiguo. Strong Limit Theorems for Even-Odd Markov Chain Fields on a Cayley Tree[J]. Chinese Journal of Applied Probability and Statistics, 2011, 27(1): 21-28.
Citation: Pan Heng, Yang Weiguo. Strong Limit Theorems for Even-Odd Markov Chain Fields on a Cayley Tree[J]. Chinese Journal of Applied Probability and Statistics, 2011, 27(1): 21-28.
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Cayley树图上奇偶马氏链场的强极限定理

Strong Limit Theorems for Even-Odd Markov Chain Fields on a Cayley Tree

    摘要
  • 摘要: 本文利用构造鞅的方法, 研究了Cayley树图上奇偶马氏链场的强极限定理, 给出了Cayley树图上奇偶马氏链场关于状态和状态序偶出现频率的强大数定律, 推广了一个已知结果.

     

    Abstract: In this paper, we first study strong limit theorems for even-odd Markov chain fields on a Cayley tree by using the method of constructing martingale. Then, we give strong laws of large numbers on the frequencies of states for even-odd Markov chain fields on a Cayley tree, which we extend a known result.

     

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