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  - 2007
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-49426
ER  - 
TY  - GEN
A1  - Champagnat, Nicolas
A1  - Roelly, Sylvie
T1  - Limit theorems for conditioned multitype Dawson-Watanabe processes and Feller diffusions
N2  - 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 .
T3  - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - paper 065 
KW  - multitype measure-valued branching processes
KW  - conditioned
KW  - critical and subcritical Dawson-Watanabe process
KW  - conditioned Feller diffusion
Y1  - 2008
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-18610
ER  - 
TY  - BOOK
A1  - Champagnat, Nicolas
A1  - Roelly, Sylvie
T1  - Multitype Dawson-Watanabe superprocesses conditioned by remote survival
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Mathematische Statistik un
Y1  - 2007
SN  - 1613-3307
PB  - Univ.
CY  - Potsdam
ER  -