Understanding of a Class of Small Deviation Theorems for Random Fields on a Homogeneous TreeReport as inadecuate




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By introducing the asymptotic logarithmic likelihood ratio as a measure of Markov approximation of the arbitrary random fields on a homogeneous tree, by constructing a non-negative martingale on a homo- geneous tree, a class of small deviation theorems of functionals and a class of small deviation theorems of the frequencies of occurrence of states for random fields on a homogeneous tree are established. Some known results are generalized in this paper.

KEYWORDS

Deviation theorems; Homogeneous tree; Random field

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Author: Shuai Wang, Yiqian Lv

Source: http://www.scirp.org/



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