On the Second Borel-Cantelli Lemma for α-mixing Sequences of Events  

作　　者：YUAN De-mei 

机构地区：[1]College of Science, Chongqing Technology and Business University, Chongqing 400067, China

出　　处：《Chinese Quarterly Journal of Mathematics》2009年第4期551-560,共10页数学季刊（英文版）

基　　金：Supported by the SCR of Chongqing Municipal Education Commission(KJ090703)

摘　　要：In this paper, we give some conditions on diverging rate of series of the probabilities and converging rate of series of the α-mixing coefficients for sequences of events, under which the conclusion of the Second Borel-Cantelli Lemma holds. As corollaries, some moment conditions are obtained, under which the strong law of large numbers holds for sequences of identically distributed random variables.

关 键 词：Borel-Cantelli lemma strong mixing Α-MIXING strong law of large numbers 

分 类 号：O211.1[理学—概率论与数理统计] O151.21[理学—数学]