| 部分和乘积的几乎处处中心极限定理的推广 |
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| 引用本文： | 彭先豪,吴群英,简默.部分和乘积的几乎处处中心极限定理的推广[J].桂林工学院学报,2011,31(1):156-159. |
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| 作者姓名： | 彭先豪 吴群英 简默 |
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| 作者单位： | 桂林理工大学理学院; |
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| 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) |
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| 摘 要： | 讨论了独立同分布序列部分和的乘积的几乎处处中心极限定理,并将独立同分布序列部分和乘积的几乎处处中心极限定理的权重由dk=1/k推广到dk=（lnλk）/k（-1〈λ）的情形。
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| 关 键 词： | 独立同分布 部分和 几乎处处中心极限定理 |
Generalization for Almost Sure Central Limit Theorem for the Product of Partial Sums |
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| PENG Xian-hao,WU Qun-ying,JIAN Mo.Generalization for Almost Sure Central Limit Theorem for the Product of Partial Sums[J].Journal of Guilin University of Technology,2011,31(1):156-159. |
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| Authors: | PENG Xian-hao WU Qun-ying JIAN Mo |
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| Affiliation: | PENG Xian-hao,WU Qun-ying,JIAN Mo(College of Science,Guilin University of Technology,Guilin 541004,China) |
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| Abstract: | Almost sure central limit theorem for the product of the partial sums of independent and identically distributed is discussed,and the weight dk=1/k generalized to dk=（ln λk）/k（-1〈λ）. |
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| Keywords: | independent and identically distributed(i i d ) partial sums almost sure central limit theorem |
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