| 引用本文： |
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简默,吴群英,彭先豪.优化权重下ρ-混合序列部分和的几乎处处中心极限定理[J].广西科学,2010,17(3):200-201,205. [点击复制]
- JIAN Mo,WU Qun-ying,PENG Xian-hao.Almost Sure Central Limit Theorem for the Partial Sums under ρ-mixing Sequences with Optimized Weight[J].Guangxi Sciences,2010,17(3):200-201,205. [点击复制]
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| 摘要: |
| 将已有的ρ-混合序列部分和的几乎处处中心极限定理权重由dk=1/k推广到dk=logαk/k(α ≥ -1),得到优化权重下部分和的几乎处处中心极限定理. |
| 关键词: ρ-混合序列 几乎处处中心极限定理 权重 |
| DOI： |
| 投稿时间：2009-12-29修订日期：2010-04-06 |
| 基金项目:国家自然科学基金项目(10661006);广西研究生教育创新计划项目(2009105960202M29)资助。 |
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| Almost Sure Central Limit Theorem for the Partial Sums under ρ-mixing Sequences with Optimized Weight |
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JIAN Mo, WU Qun-ying, PENG Xian-hao
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| (College of Science, Guilin University of Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| On the basis of the pre-exsiting almost sure central limit theorem for the partial sums under ρ-mixing, we generalized the weight dk=1/k to dk=logαk/k (α ≥ -1), and concluded the corresponding theorem with optimized weight. |
| Key words: ρ-mixing sequences almost sure central limit theorem weight |
