摘要
树指标随机过程已成为近年来发展起来的概率论的研究方向之一.强偏差定理一直是国际概率论界研究的中心课题之一.本文通过构造适当的非负鞅,利用Doob鞅收敛定理给出了模m的非齐次树上m阶非齐次马氏链的一类强偏差定理.
In recent years,tree indexed stochastic process has become one of the research directions in the probability theory.The strong deviation theorem has been one of the central issues of the international probability theory.In this paper,by constructing a non-negative martingale and applies Doob's martingale convergence theorem,we give some strong deviation theorems with respect to m-ordered non-homogeneous Markov chains on a non-homogeneous tree of module m.
出处
《河北工业大学学报》
CAS
北大核心
2013年第2期61-66,共6页
Journal of Hebei University of Technology
基金
河北省教育厅科学研究计划(Z2008308)
关键词
非齐次树
鞅
马氏链
强偏差定理
non-homogeneous trees
martingale
Markov chain
strong deviation theorem
