Journal article

On exit times of Levy-driven Ornstein-Uhlenbeck processes

Konstantin Borovkov, Alexander Novikov

STATISTICS & PROBABILITY LETTERS | ELSEVIER SCIENCE BV | Published : 2008

Abstract

We prove two martingale identities which involve exit times of Levy-driven Ornstein-Uhlenbeck processes. Using these identities we find an explicit formula for the Laplace transform of the exit time under the assumption that positive jumps of the Levy process are exponentially distributed. © 2008 Elsevier B.V. All rights reserved.

Grants

Funding Acknowledgements

The authors are thankful to G. Miteteli and a referee for their constructive comments. The first author was supported by ARC Centre of Excellence for Mathematics and Statistics of Complex Systems (MASCOS). The second author was supported by ARC Discovery grant.