摘要
本文从随机变量序列广义Ｊａｍｉｓｏｎ型加权和的一个系数指标函数自身性质出发，讨论了广义Ｊａｍｉｓｏｎ型加权和的强稳定性，避免了控制函数的引入， 进一步还得到了更一般的ＮＡ序列广义Ｊａｍｉｓｏｎ型加权和的几乎处处收敛的条件，并将前人的若干结论包含为特例．
In this paper, study the strong stability of generalized Jamison's weighted sums from the properties of a coefficient guideline function of generalized jamison's weighted sums,so avoiding using a controlling function in other papers. And give the conditions of almost sure convergence of generalized Jamison's weighted sums for NA sequences, and gain the conclusions in other papers.
出处
《应用数学学报》
CSCD
北大核心
2002年第1期77-87,共11页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(10071081号)
关键词
广义Jamison型加权和
随机变量序列
NA序列
几乎处处收敛
强稳定性
Generalized Jamison's weighted sums, i.i.d. random variable sequences, NA sequences, almost sure convergence, strong stability
