φ-混合随机变量序列加权和的完全收敛性及完全矩收敛性  

Complete Convergence and Complete Moment Convergence for Weighted Sums ofφ-mixing Random Variables

作　　者：奚海燕[1] 颛孙晨露 

机构地区：[1]安徽大学数学科学学院,合肥230601

出　　处：《重庆师范大学学报（自然科学版）》2017年第4期56-60,共5页Journal of Chongqing Normal University:Natural Science

摘　　要：【目的】对φ-混合随机变量序列的完全收敛性和完全矩收敛性进行讨论。【方法】利用φ-混合随机变量序列的Rosenthal型极大值不等式。【结果】建立了φ-混合随机变量序列加权和的完全收敛性,并且在同样的条件下得到了φ-混合序列的完全矩收敛性。【结论】所得结果推广并改进了已有文献中关于NA序列相应的结果。[Purposes]The main purpose of this paper is to establish the complete convergence and complete moment convergence for the weighted sums of φ-mixing random variables. [Methods]The main results are obtained by using the Rosenthat-type maximum inequality of φ-mixing random variables. [Findings]The complete convergence is successfully established for the weighted sums of φ-mixing random variables and moreover the complete moment convergence is obtained without adding any extra conditions. [Conclusions]The results extend and improve the corresponding one of Sung for NA random variables to φ-mixing random variables.

关 键 词：完全收敛性 完全矩收敛性 加权和 φ-混合随机变量 

分 类 号：O211.4[理学—概率论与数理统计]