Critical branching processes in a sparse random environment
We introduce a branching process in a sparse random environment as an intermediate model between a Galton–Watson process and a branching process in a random environment. In the critical case we investigate the survival probability and prove Yaglom-type limit theorems, that is, limit theorems for the...
| Egile Nagusiak: | , , , |
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| Formatua: | Artikulua |
| Hizkuntza: | English |
| Argitaratua: |
VTeX
2023-08-01
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| Saila: | Modern Stochastics: Theory and Applications |
| Gaiak: | |
| Sarrera elektronikoa: | https://www.vmsta.org/doi/10.15559/23-VMSTA231 |
| Gaia: | We introduce a branching process in a sparse random environment as an intermediate model between a Galton–Watson process and a branching process in a random environment. In the critical case we investigate the survival probability and prove Yaglom-type limit theorems, that is, limit theorems for the size of population conditioned on the survival event. |
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| ISSN: | 2351-6046 2351-6054 |