|
Information and Service
|
|
| This Article | |
 |
Supporting info |
|
PDF(210KB) |
|
[HTML] |
|
Reference |
| Service and feedback | |
|
Add to Citation Manager |
|
Cite This Article |
|
Email Alert |
| Keywords | |
| Authors | |
| PubMed | |
Joint Asymptotic Distributions of Exceedances Point
Process and Partial Sum of Non-Stationary
Gaussian Sequence
Tan Zhongquan,Peng Zuoxiang
Soochow University,Zunyi Normal College
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.