General branching processes conditioned on extinction are still branching processes

Electronic Communications in Probability

Volumn 13, Issue , 2008, Pages 540-547

  Jagers, Peter ^a   Lagerås, Andreas N ^b  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^b STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

Crump Mode Jagers process; Extinction; General branching process; Multi type branching process; Subcritical; Supercritical

Indexed keywords

EID: 54949101159     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v13-1419     Document Type: Article

References (5)

1. Athreya, K. B. and Ney, P. E. (1972). Branching Processes. Springer-Verlag, New York. Die Grundlehren der mathematischen Wissenschaften, Band 196.
2. Chauvin, B. (1986) Sur la propriete de branchement Annales de I’Institut H. Poincare. Probability et Statistiques 22, 2, 233-236.
3. Jagers, P. (1989). General branching processes as Markov fields. Stochastic Processes and their Applications 32, 2, 183-212.
4. Jagers, P, Klebaner F. C., and Sagitov, S. (2007). On the path to extinction. Proceedings of the National Academy of Science 104, 15, 6107-6111.
5. Neveu, J. (1986). Arbres et processus de Galton-Watson. Annales de l’Institut H. Poincare. Probabilites et Statistiques 22, 2, 199-207.