| On the Strong Law of Large Numbers for Non-Independent B-Valued Random Variables |
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| 作者姓名： | GanShi-xin |
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| 作者单位： | SchoolofMathematicsandStatistics,WuhanUniversity,Wuhan430072,Hubei,China |
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| 基金项目： | SupportedbytheNationalNatrualScienceFoundationofChina (1 0 0 71 0 58) |
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| 摘 要： | This paper investigates some conditions which imply the strong laws of large numbers for Banach space valued random variable sequences. Some generalizations of the Marcinkiewicz- Zygmund theorem and the HoffmannJφrgensen and Pisier theorem are obtained.
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| 关 键 词： | 强定律 大数 随机变量 Banach空间 Marcinkiewicz-Zygmund定理 |
On the strong law of large numbers for non-independent<Emphasis Type="Italic">B</Emphasis>-valued random variables |
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| GanShi-xin.On the Strong Law of Large Numbers for Non-Independent B-Valued Random Variables[J].Wuhan University Journal of Natural Sciences,2004,9(1):13-17. |
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| Authors: | Gan Shi-xin |
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| Institution: | (1) School of Mathematics and Statistics, Wuhan University, 430072 Wuhan, Hubei, China |
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| Abstract: | This paper investigates some conditions which imply the strong laws of large numbers for Banach space valued random variable sequences. Some generalizations of the Marcinkiewicz-Zygmund theorem and the Hoffmann-Jørgensen and Pisier theorem are obtained. |
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| Keywords: | strong law of large numbers Banach space valued random variable sequence p-smoothable Banach space |
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