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