| $B$值独立随机元序列加权和的完全收敛性和强大数律 |
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| 引用本文： | 邱德华.$B$值独立随机元序列加权和的完全收敛性和强大数律[J].数学研究及应用,2009,29(3):528-534. |
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| 作者姓名： | 邱德华 |
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| 作者单位： | 广东商学院数学与计算科学学院, 广东 广州 510320 |
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| 基金项目： | 广东商学院科研启动项目. |
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| 摘 要： | In this paper, we obtain theorems of complete convergence and strong laws of large numbers for weighted sums of sequences of independent random elements in a Banach space of type p （1 ≤ p ≤ 2）. The results improve and extend the corresponding results on real random variables obtained by 1] and 2].
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| 关 键 词： | 随机序列 加权和 B值随机元 Banach空间 法律 收敛性定理 大数定律 随机变量 |
| 收稿时间： | 2007/5/10 0:00:00 |
| 修稿时间： | 2008/5/21 0:00:00 |
Complete Convergence and Strong Laws of Large Numbers for Weighted Sums of Sequences of Independent $B$-Valued Random Elements |
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| QIU De Hua.Complete Convergence and Strong Laws of Large Numbers for Weighted Sums of Sequences of Independent $B$-Valued Random Elements[J].Journal of Mathematical Research with Applications,2009,29(3):528-534. |
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| Authors: | QIU De Hua |
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| Institution: | Department of Mathematics, Guangdong University of Business Studies, Guangdong 510320, China |
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| Abstract: | In this paper, we obtain theorems of complete convergence and strong laws of large numbers for weighted sums of sequences of independent random elements in a Banach space of type $p\,(1\le p\le 2)$. The results improve and extend the corresponding results on real random variables obtained by 1] and 2]. |
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| Keywords: | $B$-valued random elements weighted sums complete convergence strong laws of large numbers space of type $p$ |
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