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The limit theorems is one of the central questions for studying in the International Probability theory. In this paper, some strong limit theorems for Markov chains of continuous state space on a non-homogeneous tree were obtained by constructing a non-negative martingale.
The strong deviation theorem is one of the central questions for studying in the international probability theory. This paper brings in relative entropy ratio of sample as a measure of deviation between arbitrary random field and Markov random fields of order two on a non-homogeneous tree, and gives a strong deviation theorem on arbitrary probability measure of (Omega, F) by constructing a martingale...
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