Limit theorems for conditioned multitype Dawson-Watanabe processes

  • A multitype Dawson-Watanabe process is conditioned, in subcritical and critical cases, on non-extinction in the remote future. On every nite time interval, its distribution law is absolutely continuous with respect to the law of the unconditioned process. A martingale problem characterization is also given. The explicit form of the Laplace functional of the conditioned process is used to obtain several results on the long time behaviour of the mass of the conditioned and unconditioned processes. The general case is considered first, where the mutation matrix which modelizes the interaction between the types, is irreducible. Several two-type models with decomposable mutation matrices are also analysed.

Download full text files

Export metadata

  • Export Bibtex
  • Export RIS
  • Export XML

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Nicolas Champagnat, Sylvie Roelly
URN:urn:nbn:de:kobv:517-opus-49426
Series (Serial Number):Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint (2007, 01)
Document Type:Preprint
Language:English
Date of Publication (online):2011/03/30
Year of Completion:2007
Publishing Institution:Universität Potsdam
Release Date:2011/03/30
RVK - Regensburg Classification:SI 990
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Collections:Universität Potsdam / Aufsätze (Pre- und Postprints) / Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik / Wahrscheinlichkeitstheorie
Licence (German):License LogoKeine Nutzungslizenz vergeben - es gilt das deutsche Urheberrecht