Author:
Vatutin Vladimir,Wachtel Vitali
Abstract
Abstract
We study the asymptotic behavior of the survival probability of a multi-type branching process in a random environment. In the one-dimensional situation, the class of processes considered corresponds to the strongly subcritical case. We also prove a conditional limit theorem describing the distribution of the number of particles in the process given its survival for a long time.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Reference11 articles.
1. Le Page E. , Peigné M. and Pham C. (2016). The survival probability of a critical multi-type branching process in i.i.d. random environment. Preprint. Available at https://hal.archives-ouvertes.fr/hal-01376091v1.
2. Propriétés asymptotiques des processus de branchement en environnement aléatoire
3. Multitype subcritical branching processes in a random environment
4. Théorèmes limites pour des processus de branchement sous-critiques en environnement aléatoire
5. Collamore J. F. and Mentemeier S. (2016). Large excursions and conditioned laws for recursive sequences generated by random matrices. Preprint. Available at https://arxiv.org/abs/1608.05175v1.
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