NSD随机变量加权和的强收敛性质  

Strong convergence properties of weighted sums of negatively superadditive dependent random variables

作　　者：张玉[1] 沈爱婷[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《合肥工业大学学报（自然科学版）》2016年第10期1437-1440,共4页Journal of Hefei University of Technology：Natural Science

基　　金：安徽省自然科学基金资助项目(1308085QA03)

摘　　要：负超可加相依(negatively superadditive dependent,NSD)随机变量是一类包含独立随机变量和负相协(negatively associated,NA)随机变量在内的非常广泛的相依变量。文章利用NSD随机变量的三级数定理和随机变量的截尾技术,在较弱的条件下建立了NSD随机变量加权和的若干强收敛性质。所得结果推广了独立随机变量和NA随机变量的相应结果。Negatively superadditive dependent（NSD） random variables include independent random variables and negatively associated（NA） random variables as special cases. In this paper, by using the three series theorem of NSD random variables and the truncated method of random variables, some strong convergence properties of weighted sums of NSD random variables are established under some much weaker conditions. The results obtained in the paper generalize the corresponding ones of independent random variables and NA random variables.Key words： weighted sum; .negatively superadditive dependent（NSD） random variable; convergence property; three series theorem of NSD; truncated method of random variable

关 键 词：加权和 NSD随机变量 收敛性质 NSD三级数定理 随机变量截尾 

分 类 号：O211.4[理学—概率论与数理统计]