A1524
Title: Asymptotic behavior of critical multitype branching processes with random migration
Authors: Miguel Gonzalez Velasco - University of Extremadura (Spain) [presenting]
Pedro Martin-Chavez - University of Extremadura (Spain)
Ines M del Puerto - University of Extremadura (Spain)
Abstract: The aim is to introduce a multitype branching process with random migration and to study its asymptotic behavior. The focus is on what is referred to as the critical case. Sufficient conditions are provided to determine whether the process exhibits unbounded growth or not. Furthermore, by using appropriate normalizing sequences, the asymptotic distribution of the process is analyzed. Finally, a Feller-type diffusion approximation is obtained.
