| B值随机元序列加权和的强收敛性 |
| |
| 引用本文： | 邱德华,甘师信.B值随机元序列加权和的强收敛性[J].数学杂志,2011,31(1):96-102. |
| |
| 作者姓名： | 邱德华 甘师信 |
| |
| 作者单位： | 1. 广东商学院数学与计算科学学院,广东,广州,510320
2. 武汉大学数学与统计学院,湖北,武汉430072 |
| |
| 基金项目： | 广东省自然科学基金资助 |
| |
| 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),在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应的结论.
|
| 关 键 词： | B值随机元 鞅 强收敛性 |
LARGE STRONG CONVERGENCE OF WEIGHTED SUMS OF B-VALUED RANDOM ELEMENTS |
| |
| QIU De-hua,GAN Shi-xin.LARGE STRONG CONVERGENCE OF WEIGHTED SUMS OF B-VALUED RANDOM ELEMENTS[J].Journal of Mathematics,2011,31(1):96-102. |
| |
| Authors: | QIU De-hua GAN Shi-xin |
| |
| Institution: | 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) |
| |
| 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. |
| |
| Keywords: | Banach space valued random elements martingale strong convergence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
|
