| (p~)混合序列的收敛性质 |
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| 引用本文： | 沈燕,王学军,胡舒合,杨文志.(p~)混合序列的收敛性质[J].中国科学技术大学学报,2010,40(9). |
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| 作者姓名： | 沈燕 王学军 胡舒合 杨文志 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥,230039 |
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| 摘 要： | 设{Xn,n≥1}为(p~)混合序列.利用随机变量的截尾方法,研究了(p~)混合序列的几乎处处收敛性,并得到一些新的结果,推广和改进了独立序列的相应结果,而且并不需要另外增加其他条件.Abstract：Let {Xn,n≥1} be a (p~)-mixing random variable sequence. By means of the truncation method of random variables,the almost sure convergence for (p~)-mixing sequences was discussed and some new results were obtained, which extended and improved the corresponding results for independent random variable sequences without necessarily adding any extra conditions.
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| 关 键 词： | (p~)混合序列 几乎处处收敛性 截尾 |
Convergence properties of (p~)-mixing random variable sequences |
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| SHEN Yan,WANG Xuejun,HU Shuhe,YANG Wenzhi.Convergence properties of (p~)-mixing random variable sequences[J].Journal of University of Science and Technology of China,2010,40(9). |
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| Authors: | SHEN Yan WANG Xuejun HU Shuhe YANG Wenzhi |
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| Abstract: | Let {Xn,n≥1} be a (p~)-mixing random variable sequence. By means of the truncation method of random variables,the almost sure convergence for (p~)-mixing sequences was discussed and some new results were obtained, which extended and improved the corresponding results for independent random variable sequences without necessarily adding any extra conditions. |
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| Keywords: | (p~)-mixing random variable sequence almost sure convergence truncation |
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