TY  - INPR
A1  - Champagnat, Nicolas
A1  - Roelly, Sylvie
T1  - Limit theorems for conditioned multitype Dawson-Watanabe processes
N2  - 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.
T3  - Mathematische Statistik und Wahrscheinlichkeitstheorie : Preprint - 2007, 01 
Y1  - 2011
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/4881
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-49426
ER  -