Conditions for existence and smoothness of the distribution density for an Ornstein-Uhlenbeck process with Levy noise
| dc.creator | Bodnarchuk, Semen V. | |
| dc.creator | Kulik, Alexey M. | |
| dc.date | 2008-06-03 | |
| dc.date.accessioned | 2026-07-07T09:42:23Z | |
| dc.date.available | 2026-07-07T09:42:23Z | |
| dc.description | Conditions are given, sufficient for the distribution of an Ornstein-Uhlenbeck process with Lévy noise to be absolutely continuous or to possess a smooth density. For the processes with non-degenerate drift coefficient, these conditions are a necessary ones. A multidimensional analogue for the non-degeneracy condition on the drift coefficient is introduced. | |
| dc.description | Submitted to Probability Theory and Mathematical Statistics | |
| dc.identifier | https://arxiv.org/abs/0806.0442 | |
| dc.identifier | http://arxiv.org/abs/0806.0442 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162164 | |
| dc.subject | Probability | |
| dc.subject | 60J55; 60J45; 60F17 | |
| dc.title | Conditions for existence and smoothness of the distribution density for an Ornstein-Uhlenbeck process with Levy noise | |
| dc.type | text |