A multitype Dawson-Watanabe process is conditioned, in subcritical and critical cases, on non-extinction in the remote future. On every finite time interval, its distribution is absolutely continuous with respect to the law of the unconditioned process. A martingale problem characterization is also given. Several results on the long time behavior of the conditioned mass process - the conditioned multitype Feller branching diffusion - are then proved. The general case is first considered, where the mutation matrix which models the interaction between the types, is irreducible. Several two-type models with decomposable mutation matrices are analyzed too .
| Identifer | oai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:1861 |
| Date | January 2008 |
| Creators | Champagnat, Nicolas, Roelly, Sylvie |
| Publisher | Universität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik, Extern. Extern |
| Source Sets | Potsdam University |
| Language | English |
| Detected Language | English |
| Type | Postprint |
| Format | application/pdf |
| Source | Electronic journal of probability. - ISSN 1083-6489. - 13 (2008), paper no. 25, pp. 777 – 810 |
| Rights | http://opus.kobv.de/ubp/doku/urheberrecht.php |
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