| ρ-混合序列部分和之和乘积的几乎处处中心极限定理 |
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| 引用本文： | 邹广玉,张勇.ρ-混合序列部分和之和乘积的几乎处处中心极限定理[J].吉林大学学报(理学版),2012,50(6):1129-1134. |
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| 作者姓名： | 邹广玉 张勇 |
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| 作者单位： | 1. 吉林大学 数学研究所, 长春 130012,2. 长春工程学院 理学院, 长春 130012 |
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| 基金项目： | 国家自然科学基金(批准号:11101180) |
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| 摘 要： | 在适当的假设条件下, 利用混合序列加权和的中心极限定理及矩不等式, 证明了混合序列部分和之和乘积的几乎处处中心极限定理.
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| 关 键 词： | ρ- 混合序列 部分和之和乘积 几乎处处中心极限定理 |
| 收稿时间： | 2012-04-18 |
Almost Sure Central Limit Theorem for Products of Sums of Partial Sums for ρ~——Mixing Sequences |
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| ZOU Guang-yu,ZHANG Yong.Almost Sure Central Limit Theorem for Products of Sums of Partial Sums for ρ~——Mixing Sequences[J].Journal of Jilin University: Sci Ed,2012,50(6):1129-1134. |
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| Authors: | ZOU Guang-yu ZHANG Yong |
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| Institution: | 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. School of Science, Changchun Institute of Technology, Changchun 130012, China |
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| Abstract: | Under some suitable assumptions, we proved the almost sure central limit theorem for the products of sums of partial sums for ρ- mixing sequences using the central limit theorem of weighted sums and the moment inequality. |
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| Keywords: | ρ- mixing sequence products of sums of partial sums almost sure central limit theorem |
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