B值独立随机元序列加权和的完全收敛性和大数律的等价性  

Equivalence of complete convergence and law of large numbers for weighted sums of sequences of B-valued independent random elements

作　　者：何思思[1] 王文胜[1] 

机构地区：[1]杭州师范大学理学院,浙江杭州310018

出　　处：《高师理科学刊》2011年第1期1-6,共6页Journal of Science of Teachers＇College and University

基　　金：国家自然科学基金项目(10771070)

摘　　要：在一定条件下研究了B值独立随机元序列加权和的收敛性质,并进一步得到了B值独立随机元序列加权和的完全收敛性和大数律的等价性.该结果推广了关于B值独立随机元的相应结果.Under some conditions on probability,researched on the characterization for weighted sums of sequences of B-valued independent random elements,and furthermore obtained the equivalence of complete convergence and law of large numbers for weighted sums of sequences ofB-valued independent random elements.The results spread corresponding results for sequences ofB-valued independent random elements.

关 键 词：完全收敛性 B值独立随机元 大数律 等价性 

分 类 号：O211.4[理学—概率论与数理统计]