本文在二阶矩存在的条件下,证明了NA及LNQD随机变量列的几乎处处中心极限定理,使主要结果成立,其中W为[0,1]上标准Brown运动。

In this paper, we give the almost sure central limit theorem, under the coudition of existence of second order moment, for NA and LNQD random variables with stationary distribution, where W is the standard Brownian motion on [0, 1].