��$\{X_{i}\}^{\infty}_{i=1}$�DZ�׼����ƽ�ȸ�˹����,
$N_{n}$Ϊ$X_{1},X_{2},\cdots,X_{n}$��ˮƽ$\mu_{n}(x)$�ij������γɵĵ����,
$r_{ij}=\ep X_{i}X_{j}$, $S_{n}=\tsm_{i=1}^{n}X_{i}$.
��$r_{ij}$����һ������ʱ, ���ĵõ���$N_{n}$��$S_{n}$�Ľ���������.

Let $\{X_{i}\}^{\infty}_{i=1}$ be a standardized
non-stationary Gaussian sequence, and the exceedances point process
$N_{n}$ be the exceedances of level $\mu_{n}(x)$ formed by
$X_{1},X_{2},\cdots,X_{n}$, $r_{ij}=\ep X_{i}X_{j}$,
$S_{n}=\tsm_{i=1}^{n}X_{i}$. Under some conditions, the asymptotic
independence of $N_{n}$ and $S_{n}$ is obtained.