行为渐近负相协随机变量阵列加权和的矩完全收敛性  

On complete moment convergence of weighted sums for arrays of rowwise asymptotically almost negatively associated random variables

作　　者：张立君[1] 郭明乐[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241003

出　　处：《山东大学学报（理学版）》2016年第2期42-49,57,共9页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11271020;11201004);安徽省自然科学基金资助项目(1508085MA11);安徽省教育厅自然科学研究基金重点项目(KJ2014A083)

摘　　要：利用Rosenthal型不等式和截尾的方法,获得了行为渐近负相协随机变量阵列加权和矩完全收敛的充分条件,并运用这些充分条件,把完全收敛性结论拓展到矩完全收敛性,完善了渐近负相协随机变量的相关性质。The complete moment convergence of weighted sums for arrays of rowwise asymptotically almost negatively associated random variables was investigated. By using Rosenthal type inequality and truncation method,the sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise asymptotically almost negatively associated random variables were obtained. By using the sufficient conditions,we extend the corresponding results from the complete convergence to the complete moment convergence. Therefore,we complement the property of asymptotically almost negatively associated random variables.

关 键 词：渐近负相协随机变量 加权和 矩完全收敛性 完全收敛性 

分 类 号：O211[理学—概率论与数理统计]