NA随机变量序列的Egorov型强大数律的等价条件  

ON EQUIVALENT CONDITIONS OF THE EGOROV TYPE STRONG LAW OF LARGE NUMBERS FOR NA RANDOM VARIABLES

作　　者：邱德华[1] 

机构地区：[1]广东财经大学数学与统计学院,广东广州510320

出　　处：《数学杂志》2015年第6期1445-1452,共8页Journal of Mathematics

基　　金：国家自然科学基金资助(11271161)

摘　　要：本文研究了NA随机变量的Egorov型强大数律.利用NA随机变量的概率不等式,得到了NA随机变量序列的Egorov型强大数律的一些等价条件,所获结果推广和改进了在独立随机变量序列的Egorov的结果和在NA随机变量序列已有的一些结果.In this paper,the Egorov type strong law of large numbers for NA random variables is studied.By using probability inequality of NA random variables,we obtain equivalent conditions of the Egorov type strong law of large numbers for NA random variables,which generalize and improve the Egorov＇s results for independent random variables and the related known works in the literature for NA random variables.

关 键 词：NA随机变量序列 Egorov型强大数律 概率不等式 

分 类 号：O211.4[理学—概率论与数理统计]