关于随机序列加权和的收敛性的注记  

Notes on Convergence for Weighted Sums of Random Sequences

作　　者：张丽娜[1] 李春兰[1] 闫广州[1] 张雅静[1] 

机构地区：[1]河北农业大学理学院,河北保定071001

出　　处：《数学的实践与认识》2010年第5期169-174,共6页Mathematics in Practice and Theory

基　　金：河北省自然科学基金资(2007122;E2008000357);河北农业大学非生命学科基金

摘　　要：通过对数组加权系数的列截尾,研究了B值随机一致有界序列加权和的收敛性,获得了相应的几乎处处收敛和完全收敛到0的结果.最后建立了B值随机适应序列加权和的矩收敛定理.By column truncating of array weighting coefficients, the paper studies convergence for Weighted Sums of B-Valued Random variables stochastically dominated. The result about almost sure convergence to 0 and complete convergence to 0 have been obtained. At last, moment convergence theorem for random adapted sequence has been established.

关 键 词：B值随机变量 加权和 几乎处处收敛 矩收敛. 

分 类 号：O211.4[理学—概率论与数理统计]