期刊文献+
共找到1篇文章
< 1 >
每页显示 20 50 100
The Hjek-Rnyi Inequlity For Banach Space Valued Random Variable Sequences and Its Application 被引量:7
1
作者 Gan Shixin Department of Mathematics,Wuhan University,Wuhan 430072,China 《Wuhan University Journal of Natural Sciences》 CAS 1997年第1期15-20,共6页
In this paper we prove the following Hajek Renyi inequality:Let 0<p≤1 ,then for any Banach space B , any L p integrable B valued random variable sequence {D n,n≥1} ,any real number sequence {b... In this paper we prove the following Hajek Renyi inequality:Let 0<p≤1 ,then for any Banach space B , any L p integrable B valued random variable sequence {D n,n≥1} ,any real number sequence {b n,n≥1} with 0<b n↑∞ ,any integer n≥1 ,there exits a constant C=C p>0 (only depending on p ) such thatP( sup j≥nji=1D ib j≥ε)≤Cε -p (∞j=n+1E‖D j‖ pb p j+nj=1E‖D j‖ pb p n) In the other direction,we prove some strong laws of large numbers and the integrability of the maximal functions for B valued random variable sequences by using this inequality and the Hajeck Renyi inequality we have obtained recently.Some known results are extended and improved. 展开更多
关键词 P smoothable space space of type P Banach space valued martingale strong law of large numbers integrability of the maximal function
下载PDF
上一页 1 下一页 到第
使用帮助 返回顶部