Strong Law of Large Numbers and Complete Convergence for Sequences of -Mixing Random Variables  

作　　者：GAN Shixin CHEN Pingyan QIU Dehua 

机构地区：[1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China [2]Department of Mathematics, Jinan University, Guangzhou 510630, Guangdong, China [3]Department of Mathematics and Computational Sciences,Guangdong Business College, Guangzhou 510320, Guangdong,China

出　　处：《Wuhan University Journal of Natural Sciences》2007年第2期211-217,共7页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (10671149)

摘　　要：We give some theorems of strong law of large numbers and complete convergence for sequences of φ-mixing random variables. In particular, Wittmann＇s strong law of large numbers and Teicher＇s strong law of large nnumbers for independent random variables are generalized to the case of φ -minxing random variables.We give some theorems of strong law of large numbers and complete convergence for sequences of φ-mixing random variables. In particular, Wittmann＇s strong law of large numbers and Teicher＇s strong law of large nnumbers for independent random variables are generalized to the case of φ -minxing random variables.

关 键 词：strong law of large numbers complete convergence φ-mixing random variable sequence Wittmann＇s strong law oflarge numbers Teicher＇s strong law of large numbers 

分 类 号：O211.5[理学—概率论与数理统计] O211.6[理学—数学]