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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.00329 |
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| _version_ | 1866912174663794688 |
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| author | Casanova, Adrián González Kurt, Noemi Morales, Imanol Nuñez Pérez, José Luis |
| author_facet | Casanova, Adrián González Kurt, Noemi Morales, Imanol Nuñez Pérez, José Luis |
| contents | We provide new connections between multitype $Λ$-coalescents and multitype continuous state branching processes via duality and a homeomorphism on their parameter space. The approach is based on a sequential sampling procedure for the frequency process of independent CSBPs, and provides forward and backward processes for multitype population models under $Λ$-type reproduction. It provides some insight on different approaches to generalise $Λ$-coalescents to the multitype setup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00329 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multitype $Λ$-coalescents and continuous state branching processes Casanova, Adrián González Kurt, Noemi Morales, Imanol Nuñez Pérez, José Luis Probability We provide new connections between multitype $Λ$-coalescents and multitype continuous state branching processes via duality and a homeomorphism on their parameter space. The approach is based on a sequential sampling procedure for the frequency process of independent CSBPs, and provides forward and backward processes for multitype population models under $Λ$-type reproduction. It provides some insight on different approaches to generalise $Λ$-coalescents to the multitype setup. |
| title | Multitype $Λ$-coalescents and continuous state branching processes |
| topic | Probability |
| url | https://arxiv.org/abs/2501.00329 |