| 一类适应随机变量序列的强极限定理 |
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| 引用本文： | 吴艳蕾,吴小太. 一类适应随机变量序列的强极限定理[J]. 大学数学, 2010, 26(1) |
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| 作者姓名： | 吴艳蕾 吴小太 |
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| 作者单位： | 安徽工程科技学院数学系,芜湖,241000 |
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| 基金项目： | 国家自然科学基金资助课题(10571076);;安徽工程科技学院青年基金(2007YQ025) |
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| 摘 要： | 研究了一类适应随机变量序列的局部收敛性,推广了文献[1]中的结论.并在假定部分和序列为极限鞅时,得到了极限鞅的强极限定理.最后给出了*-mixing序列的强大数定律.
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| 关 键 词： | 强极限定理 极限鞅 *-mixing序列 |
Strong Limit Theorems for a Class of Adapted Random Variable Sequences |
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| WU Yan-lei,WU xiao-tai. Strong Limit Theorems for a Class of Adapted Random Variable Sequences[J]. College Mathematics, 2010, 26(1) |
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| Authors: | WU Yan-lei WU xiao-tai |
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| Affiliation: | Department of Mathematics;Anhui University of Technology and Science;Wuhu 241000;China |
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| Abstract: | We study the local strong limit theorems of adapted random variable sequences,which extend the theorems in the paper [1],and get the strong limit theorem for limit martingale.Finally,we obtain the strong law of large numbers of *-mixing sequence. |
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| Keywords: | the strong limit theorem limit martingale *-mixing sequence |
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