| 三阶可列非齐次马氏链随机和的一类强极限定理 |
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| 引用本文： | 王康康. 三阶可列非齐次马氏链随机和的一类强极限定理[J]. 江苏科技大学学报(社会科学版), 2007, 21(4): 42-45 |
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| 作者姓名： | 王康康 |
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| 作者单位： | 江苏科技大学,数理学院,江苏,镇江,212003 |
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| 摘 要： | 采用网微分法与纯分析运算相结合的手法,研究三阶可列非齐次马氏链状态序组随机和的一类强极限定理。在此基础上得到了关于三阶非齐次马氏链泛函随机和的一类普遍成立的强极限定理。
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| 关 键 词： | 三阶马氏链 随机和 网微分法 三元序组 |
| 文章编号： | 1673-4807（2007）04-0042-04 |
| 修稿时间： | 2005-11-14 |
A Class of Strong Limit Theorems for Random Sum of Three-order Countable Nonhomogeneous Markov Chains |
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| WANG Kangkang. A Class of Strong Limit Theorems for Random Sum of Three-order Countable Nonhomogeneous Markov Chains[J]. Journal of Jiangsu University of Science and Technology(Natural Science Edition), 2007, 21(4): 42-45 |
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| Authors: | WANG Kangkang |
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| Affiliation: | School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang Jiangsu 212003, China |
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| Abstract: | A class of strong limit theorems for the random sum of three-variable state touple of three-order nonhomogeneous Markov chains are investigated.As corollaries,a class of strong limit theorems for arbitrary function of the random sum of three-order nonhomogeneous Markov chains are obtained. |
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| Keywords: | three-order Markov chain random sum differentiation on a net three-variable touple |
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