摘要
本文讨论了一般随机变量序列加权和的强收敛性.作为推论,得到一类鞅差序列加权和的收敛定理和若干经典的独立随机变量序列的强大数定律;已有的若干结论是本文结果的特例.
In this paper, we discuss the strong convergence of weighted sums of arbitrary random variable. As corallaries, a class of convergence theorems for weighted sums of martingale differences and some classical strong law of large numbers for the sequence of independent random variables are obtained.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1998年第4期823-832,共10页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金
国家教委博士点基金