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B值随机元序列加权和的强收敛性
LARGE STRONG CONVERGENCE OF WEIGHTED SUMS OF B-VALUED RANDOM ELEMENTS
【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.
【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.
【关键词】 B值随机元;
鞅;
强收敛性;
【Key words】 Banach space valued random elements; martingale; strong convergence;
【Key words】 Banach space valued random elements; martingale; strong convergence;
【基金】 广东省自然科学基金资助(8151032001000006)
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2011年01期
- 【分类号】O211.4
- 【下载频次】46