| $rho^*$-混合随机变量列加权和的完全收敛性 |
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| 引用本文： | 郭明乐,祝东进. $rho^*$-混合随机变量列加权和的完全收敛性[J]. 数学研究及应用, 2013, 33(4): 483-492 |
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| 作者姓名： | 郭明乐 祝东进 |
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| 作者单位： | 安徽师范大学数学计算机科学学院, 安徽 芜湖 241003;安徽师范大学数学计算机科学学院, 安徽 芜湖 241003 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11271020; 11201004),教育部科学技术研究重点项目(Grant No.211077), 安徽省自然科学基金 (Grant Nos.10040606Q30; 1208085MA11). |
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| 摘 要： | In this paper, the complete convergence of weighted sums for ρ*-mixing sequence of random variables is investigated. By applying moment inequality and truncation methods, the equivalent conditions of complete convergence of weighted sums for ρ*-mixing sequence of random variables are established. We not only promote and improve the results of Li et al. (J. Theoret. Probab., 1995, 8(1): 49-76) from i.i.d. to ρ*-mixing setting but also obtain their necessities and relax their conditions.
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| 关 键 词： | ρ*-mixing sequence of random variables weighted sums complete convergence moment inequality. |
| 收稿时间： | 2012-05-06 |
| 修稿时间： | 2012-09-03 |
Complete Convergence of Weighted Sums for $rho^*$-Mixing Sequence of Random Variables |
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| Mingle GUO and Dongjin ZHU. Complete Convergence of Weighted Sums for $rho^*$-Mixing Sequence of Random Variables[J]. Journal of Mathematical Research with Applications, 2013, 33(4): 483-492 |
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| Authors: | Mingle GUO and Dongjin ZHU |
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| Affiliation: | School of Mathematics and Computer Science, Anhui Normal University, Anhui 241003, P. R. China;School of Mathematics and Computer Science, Anhui Normal University, Anhui 241003, P. R. China |
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| Abstract: | In this paper, the complete convergence of weighted sums for $rho^*$-mixing sequence of random variables is investigated. By applying moment inequality and truncation methods, the equivalent conditions of complete convergence of weighted sums for $rho^*$-mixing sequence of random variables are established. We not only promote and improve the results of Li et al. (J. Theoret. Probab., 1995, {bf 8}(1): 49--76) from i.i.d. to $rho^*$-mixing setting but also obtain their necessities and relax their conditions. |
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| Keywords: | $rho^*$-mixing sequence of random variables weighted sums complete convergence moment inequality. |
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