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.
Original language | English |
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Pages (from-to) | 281-289 |
Number of pages | 9 |
Journal | Advances in Applied Probability |
Volume | 50 |
Issue number | A |
DOIs | |
Publication status | Published - 1 Dec 2018 |
Keywords
- Branching process
- random environment
- survival probability
- conditional limit theorem
- LIMIT-THEOREMS
- PRODUCTS