A class of small deviation theorems for random fields on a uniformly bounded tree

作者：Wang Shuai; Yang Weiguo^*

来源：Journal of Inequalities and Applications, 2013, 2013(1): 81.

DOI：10.1186/1029-242X-2013-81

• deviation theorems
• uniformly bounded tree
• random field

By introducing the asymptotic logarithmic likelihood ratio as a measure of the Markov approximation of arbitrary random fields on a uniformly bounded tree, by constructing a non-negative martingale on a uniformly bounded 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 uniformly bounded tree are established. Some known results are generalized in this paper.

• 出版日期2013
• 单位江苏大学