| Strong Law of Large Numbers and Complete Convergence for Sequences of φ-Mixing Random Var, ables |
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| 引用本文： | GAN Shixin CHEN Pingyan QIU Dehua. Strong Law of Large Numbers and Complete Convergence for Sequences of φ-Mixing Random Var, ables[J]. 武汉大学学报:自然科学英文版, 2007, 12(2): 211-217. DOI: 10.1007/s11859-006-0037-x |
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| 作者姓名： | GAN Shixin CHEN Pingyan QIU Dehua |
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| 作者单位： | [1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China [2]Department of Mathematics, Jinan University, Guangzhou 510630, Guangdong, China [3]Department of Mathematics and Computational Sciences,Guangdong Business College, Guangzhou 510320, Guangdong,China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （10671149） |
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| 摘 要： | We give some theorems of strong law of large numbers and complete convergence for sequences of φ-mixing random variables. In particular, Wittmann＇s strong law of large numbers and Teicher＇s strong law of large nnumbers for independent random variables are generalized to the case of φ -minxing random variables.
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| 关 键 词： | 强大数定律 完全收敛 φ-混合随机变量数列 独立随机变量 |
| 文章编号： | 1007-1202（2007）02-0211-07 |
| 收稿时间： | 2006-04-25 |
Strong law of large numbers and complete convergence for sequences of φ-mixing random variables |
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| Gan Shixin,Chen Pingyan,Qiu Dehua. Strong law of large numbers and complete convergence for sequences of φ-mixing random variables[J]. Wuhan University Journal of Natural Sciences, 2007, 12(2): 211-217. DOI: 10.1007/s11859-006-0037-x |
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| Authors: | Gan Shixin Chen Pingyan Qiu Dehua |
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| Affiliation: | (1) School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, China;(2) Department of Mathematics, Jinan University, Guangzhou, 510630, Guangdong, China;(3) Department of Mathematics and Computational Sciences, Guangdong Business College, Guangzhou, 510320, Guangdong, China |
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| Abstract: | We give some theorems of strong law of large numbers and complete convergence for sequences of φ-mixing random variables. In particular, Wittmann’s strong law of large numbers and Teicher’s strong law of large nnumbers for independent random variables are generalized to the case of φ-minxing random variables. Biography: GAN Shixin (1939–), male, Professor, research direction: martingale theory, probability limiting theory and Banach space geometry theory. |
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| Keywords: | strong law of large numbers complete convergence φ -mixing random variable sequence Wittmann’ s strong law of large numbers Teicher’ s strong law of large numbers |
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