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

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