摘要
该文利用END随机变量序列部分和的Menshov-Rademacher型不等式,得到了同分布END随机变量序列的Sung型加权和的矩完全收敛性定理,推广和改进了已知的相应的一些结果.
In this paper,the authors study a complete moment convergence result for Sung's type weighted sums of identically distributed END random variables by utilizing the Menshov-Rademacher's inequality of the partial sums of END random variables.The result extends and improves the corresponding theorems in series of previous papers.
作者
邱德华
肖娟
Qiu Dehua;Xiao Juan(School of Statistics and Mathematics,Guangdong University of Finance and Economics, Guangzhou 510320;School of Mathematics and Statistics,Hengyang Normal University,Hunan Hengyang 421002)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2018年第6期1103-1111,共9页
Acta Mathematica Scientia
基金
国家自然科学基金(11271161)~~
关键词
END随机变量
矩完全收敛
加权和
END random variables
Complete moment convergence
Weighted sum.
