中文摘要：

本文研究AANA随机变量序列加权和的Teicher型强大数律,利用AANA随机变量最大值的Rosenthal型不等式,给出AANA随机变量序列加权和的Teicher型强大数律的几个充分条件.所得的结果推广和改进了前人在NA列时的相应结果.

英文摘要：

In this article,the Teicher type strong law of large numbers for weighted sums of AANA random variables are studied.Several sufficient conditions of the Teicher type strong law of large numbers for weighted sums of AANA random variables are obtained by using the Rosenthal type inequalities for AANA random variables.These results extend and improve the related works of the others in NA sequence case.