相依条件下滑动平均过程精确渐近性的一般规律
A GENERAL LAW OF PRECISE ASYMPTOTICS FOR MOVING AVERAGE PROCESS UNDER DEPENDENCE

本文研究了相依条件下滑动平均过程完全收敛的精确渐近性问题. 利用正态分布逼近的方法及相关不等式, 获得了精确渐近性的一般规律, 推广了对数率和重对数率精确渐近性的已有结果.
In this paper, the problem of precise asymptotics of complete convergence for moving average processes under dependence is studied. By using the method of approximation of normal distribution and associated inequalities, a general law of precise asymptotics is obtained, which extends the existing results of precise asymptotics in the law of the logarithm and of the iterated logarithm