NA随机变量加权部分和的大偏差估计

On the large deviations estimate of partial weigted sums of NA random variables

首先,本文研究了NA随机变量加权部分和的极大值型不等式。在此基础上我们研究了NA随机变量加权部分和的极大值型大偏差估计。当权函数满足ai≡1时,我们可立即得到NA随机变量部分和的极大值型大偏差估计。

First,the maximal type inequalities of partial weighted sums of NA random variables was investigated in this paper. Based on these inequalities,the large deviations of the maximal type partial weighted sums of NA random variables was studied. When the weight functions satisfy ai≡1,the maximal type large deviations of the partial sums of NA random variables are obtained immediately.