Breuer, Lothar (2012) Occupation times for Markov-modulated Brownian motion. Journal of Applied Probability, 49 (2). pp. 549-565. ISSN 0021-9002 .
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| Official URL http://dx.doi.org/10.1239/jap/1339878804 |
Abstract
In this paper we determine the distributions of occupation times of a Markov-modulated Brownian motion (MMBM) in separate intervals before a first passage time or an exit from an interval. We derive the distributions in terms of their Laplace transforms, and we also distinguish between occupation times in different phases. For MMBMs with strictly positive variation parameters, we further propose scale functions.
| Item Type: | Article |
|---|---|
| Uncontrolled keywords: | Markov-modulated Brownian motion; occupation time; scale function; Markov additive process |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA273 Probabilities |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Statistics |
| Depositing User: | Lothar Breuer |
| Date Deposited: | 04 Oct 2012 07:16 |
| Last Modified: | 23 Jan 2013 11:31 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/31236 (The current URI for this page, for reference purposes) |
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