任意随机变量序列级数的强收敛性  

Strong Convergence Theorems for Arbitrary Random Variables Sequences Series

作　　者：邱德华[1] 

机构地区：[1]广东商学院数学与计算科学系,广东广州510320

出　　处：《数学的实践与认识》2008年第1期155-158,共4页Mathematics in Practice and Theory

摘　　要：利用鞅差序列级数的收敛定理和条件三级数定理研究了任意随机变量序列级数的强收敛性,推广了某些经典的鞅差序列和独立随机变量序列及两两NQD序列的强极限定理.The strong convergence theorems for arbitrary stochastic sequences series are studied by the convergence theorem for martingale-difference series or condititional three series theroem, which genelized some classical strong limit theroems on martingale-difference sequences and independent stochastic sequences and pairwise NQD sequences.

关 键 词：鞅差序列 任意随机变量序列 几乎处处收敛 

分 类 号：O211.4[理学—概率论与数理统计]