| 摘要: |
| 本文研究了B值随机元序列加权和的强收敛性.利用Banach空间的几何性质(p型或p阶光滑),存较弱的条件下得到了B值随机元序列加权和的强大数律,这些结果推广和改进了已知的一些文献中相心的结论. |
| 关键词: B值随机元 鞅 强收敛性 |
| DOI： |
| 分类号:O211.4 |
| 基金项目:广东省自然科学基金资助 |
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| LARGE STRONG CONVERGENCE OF WEIGHTED SUMS OF B-VALUED RANDOM ELEMENTS |
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QIU De-hua,GAN Shi-xin
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QIU De-hua1,GAN Shi-xin2 (1. School of Mathematics and Computational Science,Guangdong University of Business Studies,Guangzhou 510320,China) (2.School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China)
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| Abstract: |
| In this article, the strong convergence properties of weighted sum of B-valued random elements are discussed. By utilizing the geometrical characterization of Banach spaces (type p or p-smoothable) under general conditions, the strong laws of large numbers of weighted sum of B-valued random elements are obtained, which extend and improve the related known works in the literature. |
| Key words: Banach space valued random elements martingale strong convergence |
