| ρ-混合序列的重对数律 |
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| 引用本文： | 蔡光辉. ρ-混合序列的重对数律[J]. 数学学报, 2006, 49(1): 155-160. DOI: cnki:ISSN:0583-1431.0.2006-01-023 |
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| 作者姓名： | 蔡光辉 |
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| 作者单位： | 浙江工商大学数学系,杭州310035 |
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| 基金项目： | 国家自然科学基金资助项目（10471126）;致谢 衷心感谢审稿专家提出的宝贵的修改意见! |
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| 摘 要： | 设{Xn,n≥1}是同分布ρ-混合序列,其分布属于特征指数为α(0<α<2) 的非退化稳定分布的正则吸引场,证明了依概率1有lira supn→∞ = e1/α,并获得了一系列等价条件．此结果的获得不仅将已有的一些结果推广至ρ-混合序列的情形,并且将其结果作了一定的改进．
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| 关 键 词： | ρ-混合序列 重对数律 稳定分布 |
| 文章编号： | 0583-1431（2006）01-0155-06 |
| 收稿时间： | 2003-12-25 |
| 修稿时间： | 2003-12-252005-09-15 |
Law of the Iterated Logarithm for ρ-Mixing Sequences |
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| Guang Hui CAI. Law of the Iterated Logarithm for ρ-Mixing Sequences[J]. Acta Mathematica Sinica, 2006, 49(1): 155-160. DOI: cnki:ISSN:0583-1431.0.2006-01-023 |
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| Authors: | Guang Hui CAI |
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| Affiliation: | Guang Hui CAI Department of Mathematics, Zhejiang Gongshang University, Hangzhou 310035, P. R. China |
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| Abstract: | Let {Xi,i≥1} be ρ-mixing sequences with identical distributions, and these distributions belong to domain of normal attraction with non-degenerate stable distribution. With probability one, we have limsupn→∞ . And we get several equivaent conditions, which not only generalize the obtained results equivalent to ρ- mixing sequences, but also improve them. |
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| Keywords: | ρ-mixing sequences iterated logarithm stable distribution |
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