混合序列的Hájeck-Rènyi型不等式及强大数律  

The Hájeck-Rènyi Inequality and Strong Law of Large Numbers for -mixing Sequences

作　　者：邱德华[1] 甘师信[2] 

机构地区：[1]广东商学院数学与计算计算科学系,广东广州510320 [2]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学的实践与认识》2007年第3期107-111,共5页Mathematics in Practice and Theory

基　　金：湖南省自科基金(04JJ40009)

摘　　要：利用Utev S.和Peligrad M.不等式,得到了-混合随机变量序列的Hájeck-Rènyi不等式、三级数定理和Chung型强大数律,改进了甘师信与吴群英等人的结论,达到了与独立时一致的结果.By the Utev S. and Peligrad M. inequality of ρ^～-mixing random variable sequence, we obtain the Hájeck-Rènyi inequality and three series theorem and Chung＇s strong law of large numbers for ρ^～-mixing random variable sequence, which extend and improve the corresponding results of Gan shixin and Wu Qunying, these resuls are consistent with that for independent random variable sequence.

关 键 词：ρ混合随机变量序列 Hájeck-Rènyi不等式 强大数律 

分 类 号：O211.1[理学—概率论与数理统计]