Athreya, K. B. ; Schuh, H.-J. (2016) A Galton–Watson process with a threshold Journal of Applied Probability, 53 (2). pp. 614-621. ISSN 0021-9002
Full text not available from this repository.
Official URL: http://doi.org/10.1017/jpr.2016.26
Related URL: http://dx.doi.org/10.1017/jpr.2016.26
Abstract
In this paper we study a special class of size dependent branching processes. We assume that for some positive integer K as long as the population size does not exceed level K, the process evolves as a discrete-time supercritical branching process, and when the population size exceeds level K, it evolves as a subcritical or critical branching process. It is shown that this process does die out in finite time T. The question of when the mean value E(T) is finite or infinite is also addressed.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Applied Probability Trust |
| Keywords: | Branching process, size dependence, threshold, extinction time |
| ID Code: | 131557 |
| Deposited On: | 07 Dec 2022 05:56 |
| Last Modified: | 07 Dec 2022 05:56 |
Repository Staff Only: item control page
