| B值渐近鞅的强弱大数定律 |
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| 引用本文： | 孔繁亮. B值渐近鞅的强弱大数定律[J]. 数学学报, 1998, 41(3): 667-672. DOI: cnki:ISSN:0583-1431.0.1998-03-033 |
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| 作者姓名： | 孔繁亮 |
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| 作者单位： | 哈尔滨理工大学工业技术学院 |
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| 摘 要： | 本文用Ｂ值渐近鞅的Ｄｏｏｂ分解，研究了取值于具有ＲＮＰ且对偶可分的Ｂａｎａｃｈ空间Ｂ值渐近鞅的强弱大数定律．给出了一系列结果及其证明
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| 关 键 词： | anach空间，渐近鞅，Doob分解，一致紧囿，拓扑收敛，大数定律 |
| 收稿时间： | 1997-03-03 |
| 修稿时间： | 1997-03-26 |
The Strong and Weak Law of Large Number for B Valued Asymptotic Martingles |
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| Kong Fanliang. The Strong and Weak Law of Large Number for B Valued Asymptotic Martingles[J]. Acta Mathematica Sinica, 1998, 41(3): 667-672. DOI: cnki:ISSN:0583-1431.0.1998-03-033 |
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| Authors: | Kong Fanliang |
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| Affiliation: | Kong Fanliang ( Institute of Industrial Technology, Harbin University of Science and Technology Harbin, 150076 , China ) (Email: north@hrbust.edu.cn) |
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| Abstract: | In this paper, with the Doob decomposition of B valued asymptotic martingles, we study the strong and weak law of large number for B valued asymptotic martingles in Banach space B , which is RNP and the dual separable, and give a series of result and proof. |
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| Keywords: | Banach space Asymptotic martingles Doob decomposition Uniformly compact bounded variation Topological convergence Law of large number |
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