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| 一类马尔可夫骨架过程的强大数定律和中心极限定理 | |
| 引用本文： | 董海玲,侯振挺,江国朝.一类马尔可夫骨架过程的强大数定律和中心极限定理[J].应用数学学报,2011,34(4). |
| 作者姓名： | 董海玲 侯振挺 江国朝 |
| 作者单位： | 1. 深圳大学数学与计算科学学院,深圳,518060 2. 中南大学数学科学与计算技术学院,长沙,410075 3. 哈尔滨工业大学深圳研究生院,深圳,518055 |
| 基金项目： | 国家自然科学基金(No.11071258); 国家自然科学基金青年基金(No.11001179)资助项目 |
| 摘 要： | 基于马尔可夫骨架过程极限分布的已有研究结果,本文运用波莱尔-康特立引理、更新理论、科尔莫哥洛夫的强大数定律以及独立同分布情形的中心极限定理等重要理论,分别给出了一类马尔可夫骨架过程对应的累积过程满足强大数定律和中心极限定理的充分条件. |
| 关 键 词： | 马尔可夫骨架过程 强大数定律 中心极限定理 |
Law of Strong Large Numbers and Central Limit Theorem of a Class of Markov Skeleton Processes |
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| DONG Hailing,HOU Zhenting,JIANG Guochao.Law of Strong Large Numbers and Central Limit Theorem of a Class of Markov Skeleton Processes[J].Acta Mathematicae Applicatae Sinica,2011,34(4). | |
| Authors: | DONG Hailing HOU Zhenting JIANG Guochao |
| Institution: | DONG Hailing (School of Mathematics and Computer Science,Shenzhen University,Shenzhen 518060) HOU Zhenting (School of Mathematical Science and Computing Technology,Central South University,Changsha 410075) JIANG Guochao (Shenzhen Graduate School,Harbin Institute of Technology,Shenzhen 518055) |
| Abstract: | Based on the results of limit distribution of Markov skeleton processes,by applying Borel-Cantelli lemma,renewal theory,Kolmogorov law of strong large numbers and central limit theorem of independent identically distributed sequences,this paper obtains sufficient conditions for the law of strong large numbers and central limit theorem of the accumulated process of a class of Markov skeleton processes respectively. |
| Keywords: | Markov skeleton processes law of strong large numbers central limit theorem |
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