摘要
本文主要讨论了B值随机变量序列的局部收敛性及大数定律与Banach空间几何特征的依赖关系,同时用B值随机变量序列的局部收敛性及大数定律刻划了Banach空间的一致光滑性。
In tthis paper, the dependent relation of local convergences and strong law of large numbers for Banach spaces valued random variable sequences and geometric property of Banach spaces are inverstigated.
关键词
局部收敛性
B值鞅
大数定律
随机变量序列
p-smoothable space U MD space, local convergence, B-valued martingale.