# Continuous-time multitype branching processes conditioned on very late extinction***

ESAIM: Probability and Statistics (2012)

- Volume: 15, page 417-442
- ISSN: 1292-8100

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topPénisson, Sophie. "Continuous-time multitype branching processes conditioned on very late extinction***." ESAIM: Probability and Statistics 15 (2012): 417-442. <http://eudml.org/doc/222470>.

@article{Pénisson2012,

abstract = {
Multitype branching processes and Feller diffusion processes are conditioned on very late extinction. The conditioned laws are expressed as Doob h-transforms of the unconditioned laws, and an interpretation of the conditioned paths for the branching process is given, via the immortal particle. We study different limits for the conditioned process (increasing delay of extinction, long-time behavior, scaling limit) and provide an exhaustive list of exchangeability results.
},

author = {Pénisson, Sophie},

journal = {ESAIM: Probability and Statistics},

keywords = {Multitype branching process; Feller diffusion process; conditioned branching process; diffusion limit; extinction; immortal particle; long-time behavior; multitype branching process; Feller diffusion},

language = {eng},

month = {1},

pages = {417-442},

publisher = {EDP Sciences},

title = {Continuous-time multitype branching processes conditioned on very late extinction***},

url = {http://eudml.org/doc/222470},

volume = {15},

year = {2012},

}

TY - JOUR

AU - Pénisson, Sophie

TI - Continuous-time multitype branching processes conditioned on very late extinction***

JO - ESAIM: Probability and Statistics

DA - 2012/1//

PB - EDP Sciences

VL - 15

SP - 417

EP - 442

AB -
Multitype branching processes and Feller diffusion processes are conditioned on very late extinction. The conditioned laws are expressed as Doob h-transforms of the unconditioned laws, and an interpretation of the conditioned paths for the branching process is given, via the immortal particle. We study different limits for the conditioned process (increasing delay of extinction, long-time behavior, scaling limit) and provide an exhaustive list of exchangeability results.

LA - eng

KW - Multitype branching process; Feller diffusion process; conditioned branching process; diffusion limit; extinction; immortal particle; long-time behavior; multitype branching process; Feller diffusion

UR - http://eudml.org/doc/222470

ER -

## References

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