Precise small deviations in L 2 of some Gaussian processes appearing in the regression context
| Authors |
|
| Publication date |
2014
|
| Journal |
Central European Journal of Mathematics
|
| Volume | Issue number |
12 | 11
|
| Pages (from-to) |
1674-1686
|
| Organisations |
-
Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
|
| Abstract |
We find precise small deviation asymptotics with respect to the Hilbert norm for some special Gaussian processes connected to two regression schemes studied by MacNeill and his coauthors. In addition, we also obtain precise small deviation asymptotics for the detrended Brownian motion and detrended Slepian process.
|
| Document type |
Article
|
| Language |
English
|
| Published at |
https://doi.org/10.2478/s11533-014-0436-8
|
|
Permalink to this page
|
Back