NA随机变量序列的Chung-Teicher型强大数定律  

Chung-Teicher Type Strong Law of Large Number for NA Random Variables

作　　者：王蒋凤[1] 吴群英[1] 

机构地区：[1]桂林理工大学理学院,广西桂林541004

出　　处：《桂林理工大学学报》2011年第3期467-470,共4页Journal of Guilin University of Technology

基　　金：国家自然科学基金项目(11061012);广西自然科学基金项目(2010GXNSFA013120);广西研究生教育创新计划项目(2010105960202M32)

摘　　要：将独立序列情形时经典的Kolmogorov、Chung和Teicher型的强大数律推广到NA序列,利用最大值矩不等式以及Fazekas-Klesov定理,给出了Chung-Teicher型的强大数定律。文中的推论给出了将定理条件具体化的强大数定律,使定理具有现实意义。In this paper the classical strong law of large number of Kolmogorov,Chung and Teicher for independent random variables is generalized in the case of NA sequence.As the main result,the strong law of large number of Chung-Teicher type is obtained by the maximal moment inequality and the theorem of Fazekas and Klesov is obtained.As the strong laws,corollaries are deduced in the specific condition of the theorem,and make the theorem of practical significance.

关 键 词：独立序列 NA序列 矩不等式 强大数律 

分 类 号：O211.4[理学—概率论与数理统计]