非齐次树上马氏双链转移矩阵的一个强偏差定理  

A Strong Deviation Theorem for the Transition Matrix of Double Markov Chains Indexed by Non-homogeneous Trees

作　　者：金少华[1] 杨会明 JIN Shaohua;YANG Huiming(College of Science,Hebei University of Technology,Tianjin 300401,China)

机构地区：[1]河北工业大学理学院,天津300401

出　　处：《应用数学》2023年第2期497-503,共7页Mathematica Applicata

基　　金：国家自然科学基金资助项目(11701139);河北省首批研究生教改项目(YJG2023020)。

摘　　要：该文研究非齐次树上马氏双链转移矩阵的一个强偏差定理.首先给出非齐次树上马氏双链的定义和样本散度的概念,然后利用构造非负辅助鞅的方法,给出了关于非齐次树上马氏双链转移矩阵的一个强偏差定理.In this paper, a strong deviation theorem for the transition matrix of double Markov chains indexed by non-homogeneous trees is studied. Firstly the definition of the double Markov chains indexed by non-homogeneous trees and the concept of sample divergence are given. Then by constructing non-negative auxiliary martingales, a strong deviation theorem for the transition matrix of double Markov chains indexed by non-homogeneous trees is established.

关 键 词：强偏差定理 马氏双链 非齐次树 鞅 样本散度 

分 类 号：O211.6[理学—概率论与数理统计]