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

作     者：YUAN De-mei YUAN De-mei

作者机构：College of Science Chongqing Technology and Business University Chongqing 400067 China 

出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊（英文版）)

年 卷 期：2009年第24卷第4期

页      面：551-560页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 070104[理学-应用数学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

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

主　　题：Borel-Cantelli lemma strong mixing α-mixing strong law of large numbers 

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.