Strong Law of Large Numbers for a Class of Dependent Random Variables

摘要：

Let p≥2 .For a sequence of dependent p-integrable random variables, a sequence of positive real numbers an,n≥1 and a sequence of positive constants bn,n≥ 1,conditions are provided under which the series Σni=1 (X1-EX1)/b1 converges almost surely as n→∞ and Xn,n≥1 obeys the strong law of large numbers lim n→∞ Σni=1(Xi-EXi)/bn=0 almost surely.

关键词： dependent random variables strong law of large numbers Jensen inequality

作者: Yan Dong Weiguo Yang

作者单位: Faculty of Science Jiangsu University Zhenjiang, China 212013

会议类型: 国际会议

会议名称: The 10th International Conference on Intelligent Technologies(第十届智慧科技国际会议 InTech09)

会议地点: 桂林

会议语种:英文

页码: 458-462

在线出版日期: 2009-12-12（万方平台首次上网日期，不代表论文的发表时间）