On complete convergence in Marcinkiewicz-Zygmund type SLLN for random variables  

作　　者：Anna Kuczmaszewska YAN Ji-gao 

机构地区：[1]Department of Applied Mathematics,Lublin University of Technology,Nadbystrzycka 38 D,20-618 Lublin,Poland [2]School of Mathematical Sciences,Soochow University,Suzhou 215006,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2021年第3期342-353,共12页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(11701403).

摘　　要：We consider a generalization of Baum-Katz theorem for random variables satisfying some cover conditions.Consequently,we get the results for many dependent structures,such as END,ϱ^(*)mixing,ϱ^(-)mixing andφ-mixing,etc.

关 键 词：complete convergence Marcinkiewicz-Zygmund type SLLN weakly mean bounded 

分 类 号：O211.5[理学—概率论与数理统计]