%0 Journal Article
%T A Class of Small Deviation Theorems for Random Fields on a Homogeneous Tree<br>关于齐次树上随机场的一类强偏差定理
%A PENG Weicai
%A YANG Weiguo
%A <br>彭维才
%A 杨卫国
%J 系统科学与数学
%D 2009
%I 
%X By introducing the asymptotic logarithmic likelihood ratio as a measure of Markov approximation of the arbitrary random field on a homogeneous tree, and constructing a non-negative martingale, a class of small deviation theorems for random fields is established, and an existing result is generalized.
%K Small deviation theorems
%K homogeneous tree
%K random field<br>强偏差定理
%K 齐次树
%K 随机场.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=F22445660D2FF7ACB8A57659EBC8829C&yid=DE12191FBD62783C&vid=771469D9D58C34FF&iid=94C357A881DFC066&sid=52B9DFFFCC2EB041&eid=E04FC1B5BC47587B&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=8