Multitype $\Lambda$-coalescents and continuous state branching processes

Autor: Casanova, Adrián González, Kurt, Noemi, Morales, Imanol Nuñez, Pérez, José Luis
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: We provide new connections between multitype $\Lambda$-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 $\Lambda$-type reproduction. It provides some insight on different approaches to generalise $\Lambda$-coalescents to the multitype setup.
Databáze: arXiv