随机变量序列乘积和的矩完全收敛性  

Complete Moment Convergence for Product Sums of Sequence of Random Variables

作　　者：邱德华 陈平炎[2] De Hua QIU;Ping Yan CHEN(School of Statistics and Mathematics, Guangdong University of Finance and Economics Guangzhou 510320, P. R. China;Department of Mathematics, Ji＇nan University, Guangzhou 510630, P. R. Chin)

机构地区：[1]广东财经大学统计与数学学院,广州510320 [2]暨南大学数学系,广州510630

出　　处：《数学学报（中文版）》2018年第4期695-704,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11271161)

摘　　要：利用王岳宝等将乘积和转化为部分和的乘积之和的方法,研究了随机变量序列乘积和的矩完全收敛性,获得了乘积和矩完全收敛的充分条件.Complete moment convergence for product sums of sequence of random variables are discussed by utilizing the method of Wang et al. The sufficient conditions of complete moment convergence for product sums of sequence of random variables are obtained.

关 键 词：乘积和 完全收敛 矩完全收敛 

分 类 号：O211.4[理学—概率论与数理统计]