| 随机序列和的几乎必然收敛 |
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| 引用本文： | 沈燕.随机序列和的几乎必然收敛[J].合肥联合大学学报,2006,16(1):16-19. |
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| 作者姓名： | 沈燕 |
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| 作者单位： | 安徽大学数学与计算机科学学院,合肥230039 |
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| 摘 要： | 通过研究上可加的r阶矩结构的随机序列和的几乎必然收敛性、收敛速度，给出了2个重要定理的证明，得出的随机序列和的收敛速度在数量级上已达到最优，并给出了定理的相关应用．
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| 关 键 词： | 几乎必然收敛 收敛速度 上可加r阶矩结构 随机序列和 |
| 文章编号： | 1673-162X（2006）01-0016-04 |
| 收稿时间： | 2006-01-23 |
Almost Sure Convergence for the Sums of Random Sequence |
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| Authors: | SHEN Yan |
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| Abstract: | In this paper, we mainly study almost sure convergence for the sums of random sequence under rth moment function of superadditive properties and convergence rate, and prove three important theorems. We obtain the best convergence rate for the sums of random sequence on the order of magnitude. The application is known, we obtain a new theorem. |
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| Keywords: | almost sure convergence almost sure convergence rate rth moment function of superaddit- ive structure sums of random sequence |
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