Branching Processes with Immigration in a Random Environment -- the Grincevičius--Grey setup
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929202502041600 |
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| author | Kevei, Peter |
| author_facet | Kevei, Peter |
| contents | We determine the tail asymptotics of the stationary distribution of a branching process with immigration in a random environment, when the immigration distribution dominates the offspring distribution. The assumptions are the same as in the Grincevičius--Grey theorem for the stochastic recurrence equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03842 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Branching Processes with Immigration in a Random Environment -- the Grincevičius--Grey setup Kevei, Peter Probability 60J80, 60F05 We determine the tail asymptotics of the stationary distribution of a branching process with immigration in a random environment, when the immigration distribution dominates the offspring distribution. The assumptions are the same as in the Grincevičius--Grey theorem for the stochastic recurrence equation. |
| title | Branching Processes with Immigration in a Random Environment -- the Grincevičius--Grey setup |
| topic | Probability 60J80, 60F05 |
| url | https://arxiv.org/abs/2401.03842 |