| AANA序列部分和的收敛性质 |
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| 引用本文： | 徐怀,唐玲.AANA序列部分和的收敛性质[J].浙江大学学报(理学版),2013,40(4):394-400. |
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| 作者姓名： | 徐怀 唐玲 |
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| 作者单位： | 1. 安徽大学数学科学学院,安徽合肥,230039
2. 安徽建筑工业学院数理系,安徽合肥,230601 |
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| 摘 要： | 利用对AANA随机变量做截尾方法处理,给出AANA随机变量序列的三级数定理.研究了在矩条件下,AANA随机变量序列的一类强极限定理和强大数定律.由于AANA随机变量序列比NA随机变量序列要弱,故本文所得的结论对NA随机变量序列仍然成立.
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| 关 键 词： | AANA随机变量序列 NA随机变量序列 三级数定理 强大数律 |
| 收稿时间： | 2011-06-13 |
Convergence properties of the partial sums of AANA sequence |
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| XU Huai
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TANG Ling.Convergence properties of the partial sums of AANA sequence[J].Journal of Zhejiang University(Sciences Edition),2013,40(4):394-400. |
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| Authors: | XU Huai TANG Ling |
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| Institution: | 1. School of Mathematics, Anhui University, He f ei 230039, China 2. Department of Mathematics, Anhui Institute of Architecture and Industry, Hefei 230601, China) |
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| Abstract: | With the help of truncation method for asymptotically almost negatively associated （AANA） random vari- ables, the three series theorem for the sequence of AANA random variables has been investigated. Under the mo- ment condition, some strong limit theorems and strong law of large numbers for partial sums of AANA sequence were obtained. Since the sequence of AANA random variables is weaker than the sequence of NA random variable, the results obtained in this paper also hold true for the sequence of NA random variables. |
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| Keywords: | sequence of AANA random variables sequence of NA random variables three series theorem strong law of large numbers |
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