Some Convergence Properties for ψ-Mixing Sequences

作     者：Xue Jun WANG Shu He HU Xiao Qin LI Wen Zhi YANG 

作者机构：School of Mathematical Science Anhui University Anhui 230039 P. R. China 

出 版 物：《Journal of Mathematical Research and Exposition》 (数学研究与评论（英文版）)

年 卷 期：2011年第31卷第3期

页      面：443-450页

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] 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 National Natural Science Foundation of China (Grant No.10871001) Provincial Natural Science Research Project of Anhui Colleges (Grant No.KJ2010A005) Talents Youth Fund of Anhui Province Universities(Grant No.2010SQRL016ZD) Youth Science Research Fund of Anhui University (Grant No.2009QN011A) the Academic innovation team of Anhui University (Grant No.KJTD001B) 

主　　题：Kolmogorov-type inequality Khintchine-Kolmogorov-type convergence theorem strong law of large numbers. 

摘      要：In this paper,we extend the Kolmogorov-type inequality to the case of ψ-mixing ***,we study the strong limit theorems for partial sums of ψ-mixing random *** a result,we extend the Khintchine-Kolmogorov-type convergence theorem,the three series theorem,Marcinkiewicz strong law of large number to the case of ψ-mixing sequences.