■-混合序列的弱收敛性和完全收敛性(英文)  

Weak Convergence and Complete Convergence for ■-mixing Sequences

作　　者：蒋远营[1] 吴群英[1] 

机构地区：[1]桂林理工大学理学院,桂林541004

出　　处：《工程数学学报》2010年第6期1118-1124,共7页Chinese Journal of Engineering Mathematics

基　　金：The National Natural Science Foundation of China(11061012);the New Century Guangxi,China,Ten-hundred-thousand Talents Project(2005214);the Guangxi,China,Science Foundation(0991081;2010GXNSFA013120)

摘　　要：在本文中,作者研究了■-混合序列的极限性质。得到了经典的弱收敛定理和完全收敛定理,将独立情形下的弱大数定律、Baum和Katz完全收敛性定理推广到了■-混合序列,而未额外添加任何条件。In this article,we study some limit properties for sequences of φ-mixing random variables.The classical weak law of large number and the Baum and Katz complete convergence theorem are established.They extend and improve the corresponding results from independent sequences of random variables to ■-mixing sequences without imposing any unnecessarily extra conditions.Some well-known results are improved and extended.

关 键 词：■-混合随机变量序列 弱大数定律 完全收敛性 

分 类 号：O211.4[理学—概率论与数理统计]