【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．更多还原

【Abstract】 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.更多还原