摘要
该文研究了混合随机变量序列加权和的矩完全收敛性.利用混合随机变量的Rosenthal型最大值不等式,得到了混合随机变量序列加权和的矩完全收敛性定理,这些结果推广和改进了已知的一些文献中相应结论.
In this paper, we discuss complete moment convergence for weighted sums of ρ- mixing random variables. Complete moment convergence theorems for weighted sums of ρ- mixing random variable sequences are obtained by utilizing the Rosenthal maximal type in- equality, which generalize and extend the well-known results in the literature.
作者
邱德华
段振华
Qiu Dehua Duan Zhenghua(School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320 Department of Basic Courses, Guangzhou Institute of Railway Technology, Guangzhou 510430)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2017年第2期265-277,共13页
Acta Mathematica Scientia
基金
国家自然科学基金(11271161)~~
关键词
ρ混合随机变量
矩完全收敛
加权和
ρ-Mixing random variables
Complete moment convergence
Weighted sums
