关于可列非齐次马氏链的广义C-强遍历性  

The generalized C-strong ergodicity for countable nonhomogeneous Markov chain

作　　者：张艳[1] 杨卫国[1] Zhang Yan Yang Weiguo(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：《纯粹数学与应用数学》2017年第1期37-43,共7页Pure and Applied Mathematics

基　　金：国家自然科学基金(11571142)

摘　　要：马氏链遍历性理论在生物,数值计算,信息理论,自动控制,近代物理和公用事业中的服务系统等众多领域都有着广泛的应用,马氏链的C-强遍历性是马氏链遍历性理论的重要内容.本文给出了马氏链C-强遍历性的一个推广,首先给出了在可列状态空间取值的非齐次马氏链的广义C-强遍历性和广义一致C-强遍历性的概念,然后研究这两种遍历性成立的充分条件.The ergodicity for Markov has been widely used in the areas of biology, numerical calculate, information theory, automatic control, modern physics and service system of public enterprise. The C-strong ergodicity for Markov is an important part. This paper presents a generalization of C-strong ergodicity. We give the definition of the generalized C-strong nonhomogeneous Markov chain, and t ergodicity hen we stu and the generalized uniform C-strong ergodicity for countable dy the sufficient conditions of the two ergodicity

关 键 词：可列非齐次马氏链 广义C-强遍历性 广义一致C-强遍历性 

分 类 号：O211.62[理学—概率论与数理统计]