任意随机变量序列关于非齐次马氏链随机转移概率调和平均的强偏差定理  

A Class of Strong Deviation Theorems of Harmonic Mean of the Stochastic Transition Probability for Arbitrary Sequences of Random Variables Associated with Nonhomogeneous Markov Chains

作　　者：景颖 杨卫国[1] JING Ying;YANG Wei-guo(Faculty of Science,Jiangsu University,Zhenjiang 212013,China)

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《数学的实践与认识》2020年第9期172-175,共4页Mathematics in Practice and Theory

基　　金：国家自然科学基金项目“关于树指标随机过程极限理论的进一步研究”(11571142)。

摘　　要：研究任意随机变量序列关于非齐次马氏链转移概率调和平均的一个强偏差定理,作为推论得到了非齐次马氏链转移概率调和平均的强极限定理.The purpose of this paper is to study a class of strong deviation theorems of harmonic mean of stochastic transition probability for arbitrary sequences of random variables associated with nonhomogeneous Markov chains.As a corollary,a strong limit theorem for the harmonic mean of the random transition probability of nonhomogeneous Markov chains is obtained.

关 键 词：非齐次马氏链 随机转移概率 调和平均 强偏差定理 

分 类 号：O211[理学—概率论与数理统计]