摘要
利用随机变量的截尾技术和宽相依(widely orthant dependent,简称WOD)随机变量的指数型概率不等式,在较弱的矩条件下,建立WOD随机变量加权和的完全收敛性结果,作为应用,得到WOD随机变量的M-Z型强大数定律,推广并改进独立变量和若干相依变量的相应结果.
By using the truncation method and the exponential inequality of widely orthant dependent（ WOD） random variables,the complete convergence for the weighted sums of WOD random variables is established under much weaker moment conditions. As an application,the M-Z type strong law of large numbers is obtained. The result obtained in the paper generalize and improved the corresponding one for independent random variables and some dependent random variables.
出处
《湖北大学学报（自然科学版）》
CAS
2017年第6期567-573,共7页
Journal of Hubei University：Natural Science
基金
国家自然科学基金(11501004)
安徽高校省级自然科学基金重点项目(KJ2015A018)资助
关键词
WOD随机变量
完全收敛型
M-Z型强大数定律
widely negative orthant dependent random variables
complete convergence
M-Z type stronglaw of large numbers
