【摘要】 为了完善AANA序列的极限理论,利用三级数定理、Borel-Cantelli引理及一些概率不等式,研究了AANA随机变量序列的函数加权和.在一定的条件下,得到了其一致强收敛速度为n-13log n,推广了关于NA随机变量序列的相应结果.更多还原

【Abstract】 In order to improve the limit theory of the AANA sequence, by using the three series theorem,Borel- Cantelli lemma and some probability inequalities, we investigate function weighted sums of asymptotically almost negatively associated(AANA) random variables, and obtain uniformly strong convergence rate n-13 log n under some conditions. Hence the results generalize the corresponding one for negatively associated random variables.更多还原