摘要
利用截尾的方法和负相关(ND)随机变量的矩不等式,研究ND随机变量序列加权和的完全收敛性,结果,我们把独立同分布随机变量序列的完全收敛性定理推广到了ND序列情形下成立.
In this paper,we discuss complete convergence for weighted sums of negatively depend- ent sequences of random variables by using the truncated method and the moment inequality of nega- tively dependent random variables. As a result, we generalize and extend the complete convergence theorem for i. i. d. r. v. s. to ND r. v, s
出处
《应用数学》
CSCD
北大核心
2015年第1期57-64,共8页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(11061012)
the Natural Science Research Project of Fuyang Normal College(2014WLGH02)
关键词
完全收敛性
ND随机变量
加权和
Complete convergenee
Negatively dependent random variable
Weightedsum