| 关于NA情况下重对数律收敛速度的一般形式 |
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| 引用本文： | 姜德元.关于NA情况下重对数律收敛速度的一般形式[J].浙江大学学报(理学版),2003,30(5):499-502. |
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| 作者姓名： | 姜德元 |
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| 作者单位： | 浙江大学,数学系,浙江杭州,310028 |
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| 基金项目： | 国家自然科学基金资助项目(10131040). |
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| 摘 要： | 研究了NA序列重对数律收敛速度的一般形式，把Davis和Gut的结果推广到了NA的情形，并使梁汉营等人关于对数律一个结果成为特例；作为推论，得到了关于NA序列重对数律收敛速度的充分条件．
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| 关 键 词： | NA序列 重对数律 收敛速度 概率论 极限理论 一般形式 |
| 文章编号： | 1008-9497(2003)05-499-04 |
| 修稿时间： | 2001年12月4日 |
On the general forms of the convergence rates of law of iterated logarithm in negatively associated random variables |
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| JIANG De-yuan.On the general forms of the convergence rates of law of iterated logarithm in negatively associated random variables[J].Journal of Zhejiang University(Sciences Edition),2003,30(5):499-502. |
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| Authors: | JIANG De-yuan |
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| Abstract: | The general forms of the convergence rates of negatively associated random sequences are discussed, and the results of Davis and Gut are extended. What's more, one of the main results obtained by LIANG Han- ying and SU Chun becomes a particular case here, and then, several sufficient and necessary conditions about the convergence of law of iterated logarithm in negatively associated random variables are obtained. |
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| Keywords: | NA sequences law of iterated logarithm convergence rates general forms |
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