随机变量阵列的几乎处处中心极限定理

Almost sure central limit theorem for arrays of random variables

随机变量序列与阵列,关于其几乎处处中心极限定理存在比较大的差异,并且对其权重系数的选取有一定要求。对随机变量阵列两种不同权重选择条件进行研究,得到一些关于随机变量阵列的几乎处处中心极限定理及推论。

It is different between sequence and array of random variables on the almost sure central limit theorem,and the selection of its weight coefficient has certain requirements. In this paper,we study two kinds of different weight selection conditions for arrays of random variables,and obtain the almost sure central limit theorems and inferences for arrays of random variables.