Some Convergence Results for Arbitrary Sequences under Moment Condition  

矩条件下任意随机序列的一些收敛结果(英文)

作　　者：王学军 胡舒合 杨文志 

机构地区：[1]School of Mathematical Science, Anhui University

出　　处：《Chinese Quarterly Journal of Mathematics》2011年第4期585-589,共5页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(10871001);Supported by the Provincial Natural Science Research Project of Anhui Colleges(KJ2010A005);Supported by the Talents Youth Fund of Anhui Province Universities(2010SQRL016ZD);Supported by the Youth Science Research Fund of Anhui University(2009QN011A)

摘　　要：Let {X n , n ≥ 1} be an arbitrary sequence of random variables. Some convergence results for the partial sums of arbitrary sequence of random variables are obtained, which generalize the known results for independent sequences, NA sequences, ρ-mixing sequences and φ-mixing sequences, and so on.

关 键 词：strong law of large numbers NA sequences ρ-mixing sequences φ-mixing sequences 

分 类 号：O211.4[理学—概率论与数理统计]