Gapeev, Pavel V. (2005) The disorder problem for compound Poisson processes with exponential jumps. Annals of Applied Probability, 15 (1A). pp. 487-499. ISSN 1050-5164
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Abstract
The problem of disorder seeks to determine a stopping time which is as close as possible to the unknown time of “disorder” when the observed process changes its probability characteristics. We give a partial answer to this question for some special cases of Lévy processes and present a complete solution of the Bayesian and variational problem for a compound Poisson process with exponential jumps. The method of proof is based on reducing the Bayesian problem to an integro-differential free-boundary problem where, in some cases, the smooth-fit principle breaks down and is replaced by the principle of continuous fit.
| Item Type: | Article |
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| Official URL: | http://www.imstat.org/aap/ |
| Additional Information: | © 2005 Institute of Mathematical Statistics |
| Library of Congress subject classification: | H Social Sciences > HA Statistics |
| Sets: | Departments > Mathematics Research centres and groups > Computational, Discrete and Applicable Mathematics@LSE (CDAM) |
| Date Deposited: | 29 Jan 2008 |
| URL: | http://eprints.lse.ac.uk/3219/ |
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