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| On the Strong Law of Large Numbers for Non-Independent B-Valued Random Variables | |
| 引用本文： | GanShi-xin. On the Strong Law of Large Numbers for Non-Independent B-Valued Random Variables[J]. 武汉大学学报:自然科学英文版, 2004, 9(1): 13-17. DOI: 10.1007/BF02912709 |
| 作者姓名： | GanShi-xin |
| 作者单位： | SchoolofMathematicsandStatistics,WuhanUniversity,Wuhan430072,Hubei,China |
| 基金项目： | SupportedbytheNationalNatrualScienceFoundationofChina (1 0 0 71 0 58) |
| 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. |
| 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 |
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| Gan Shi-xin. On the strong law of large numbers for non-independent |
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| Authors: | Gan Shi-xin |
| Affiliation: | (1) School of Mathematics and Statistics, Wuhan University, 430072 Wuhan, Hubei, China |
| 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. |
| Keywords: | strong law of large numbers Banach space valued random variable sequence p-smoothable Banach space |
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