| 随机环境中马氏链的强遍历性 |
| |
| 引用本文： | 李应求,晏小兵,李明亮. 随机环境中马氏链的强遍历性[J]. 湘潭大学自然科学学报, 2003, 25(3): 126-130 |
| |
| 作者姓名： | 李应求 晏小兵 李明亮 |
| |
| 作者单位： | 长沙理工大学应用数学研究所,长沙,410077 |
| |
| 基金项目： | Supported Natural Science Foundation of China(10271020),Mile一Youth Foundation of Hunan(00JJEY2141) |
| |
| 摘 要： | 对随机环境中马氏链,Cogbum(1984,1990)首先引入了初始时间在原点的弱遍历的概念。并且给出了链是弱遍历的一些条件,李应求,晏小兵,汪和松(2003)引入了初始时间在任意点的一致弱遍历的概念,并且给出了链是一致弱遍历的一些条件。借鉴上述思想。引入了初始时问在任意点的强遍历的概念．并且给出了链是强遍历的一些条件。
|
| 关 键 词： | 随机环境中马氏链 一致弱遍历性 强遍历性 θ链 |
Strong Ergodicity of Markov Chains in Random Environments |
| |
| LI Ying - qiu,YAN Xiao - bing,LI Ming - liang. Strong Ergodicity of Markov Chains in Random Environments[J]. Natural Science Journal of Xiangtan University, 2003, 25(3): 126-130 |
| |
| Authors: | LI Ying - qiu YAN Xiao - bing LI Ming - liang |
| |
| Abstract: | For Markov chains in random environments, Cogbum(1984, 1990) firstly introduced weakly ergodic concept that "starting time" is original point, and gave some conditions ensuring that the chains are weakly ergodic; Li Yingqiu, Yan Xiaobing, Wang He - song(2003) introduced uniformly weakly ergodic concept that "starting time" is any point, and gave some conditions ensuring that the chains are uniformly weakly ergodic. The definitions of strongly ergodic-ity that "starting time" is any point are introduced. Some conditions ensuring that the chains are strongly ergodic are giv- |
| |
| Keywords: | Markov chains in random environments Uniformly weak ergodicity Strong ergodicity B-chain |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
