Galton-Watson theta-processes in a varying environment
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913197377716224 |
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| author | Sagitov, Serik Zhumayev, Yerakhmet |
| author_facet | Sagitov, Serik Zhumayev, Yerakhmet |
| contents | We consider a special class of Galton-Watson theta-processes in a varying environment fully defined by four parameters, with two of them $(θ,r)$ being fixed over time $n$, and the other two $(a_n,c_n)$ characterizing the altering reproduction laws. We establish a sequence of transparent limit theorems for the theta-processes with possibly defective reproduction laws. These results may serve as a stepping stone towards incisive general results for the Galton-Watson processes in a varying environment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07860 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Galton-Watson theta-processes in a varying environment Sagitov, Serik Zhumayev, Yerakhmet Probability 60J80 We consider a special class of Galton-Watson theta-processes in a varying environment fully defined by four parameters, with two of them $(θ,r)$ being fixed over time $n$, and the other two $(a_n,c_n)$ characterizing the altering reproduction laws. We establish a sequence of transparent limit theorems for the theta-processes with possibly defective reproduction laws. These results may serve as a stepping stone towards incisive general results for the Galton-Watson processes in a varying environment. |
| title | Galton-Watson theta-processes in a varying environment |
| topic | Probability 60J80 |
| url | https://arxiv.org/abs/2401.07860 |