M. González Velasco, P. Martín-Chávez, I. M. del Puerto García
Firstly, the continuous state branching processes arose from limit processes of rescaled Bienaymé-Galton-Watson (BGW) processes. A controlled branching process (CBP) is a modification of the standard BGW process in which the number of progenitors in each generation is determined by a random mechanism. It is the aim of this talk to research the limit of the rescaled controlled branching processes. In particular, we consider a CBP starting from a random number of initial individuals and provide a Feller diffusion approximation for rescaled critical CBPs making use of limit theorems for random step processes.
Acknowledgements:
This research has been supported by the Junta de Extremadura (grant GR21050) and by grant PID2019-108211GB-I00 funded by MCIN/AEI/10.13039/501100011033, by “ERDF A way of making Europe”.
Palabras clave: Controlled branching process, diffusion process, random step process, limit result
Programado
GT17 Procesos Estocásticos y sus Aplicaciones I
7 de junio de 2022 12:00
A24
