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| 有限m重非齐次马氏链随机变换的一个强极限定理 | |
| 引用本文： | 王华山.有限m重非齐次马氏链随机变换的一个强极限定理[J].成都信息工程学院学报,2010,25(1):104-106. |
| 作者姓名： | 王华山 |
| 作者单位： | 江苏大学理学院,江苏,镇江,212013 |
| 摘 要： | 将赌博系统的随机变换概念推广到有限优重非齐次马氏链情形，采用鞅方法研究了有限m重非齐次马氏链函数的强极限定理，作为推论得到有限m重非齐次马氏链随机变换的若干强极限定理。 |
| 关 键 词： | 概率论与数理统计 非齐次马氏链的强极限定理 优重非齐次马氏链 鞅 随机变换 强极限定理 |
A Strong Limit Theorem for Random Selection of Finite m-order Non-homogeneous Markov Chains |
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| WANG Hua-shan.A Strong Limit Theorem for Random Selection of Finite m-order Non-homogeneous Markov Chains[J].Journal of Chengdu University of Information Technology,2010,25(1):104-106. | |
| Authors: | WANG Hua-shan |
| Affiliation: | Faculty of Science;Jiangsu University;Zhenjiang 212013;China |
| Abstract: | The concept of the random selection on the gambling system is extended to the finite m-order non-homogeneous Markov chains.By the martingle method the strong limit theorems of the function of the finite m-order non-homogeneous Markov chains is discussed.Some strong limit theorems on the random selection for the finite m-order non-homogeneous Markov chains are obtained as corollaries. |
| Keywords: | probability theory and mathematical statistics strong limit theorems of the nonhomogeneous markov chains finite m-order non-homogeneous Markov chains martingle random selection strong limit theorem |
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