Asymptotic behavior of critical indecomposable multi-type branching processes with immigration
Asymptotic behavior of critical indecomposable multi-type branching processes with immigration
In this paper the asymptotic behavior of a critical multi-type branching process with immigration is described when the offspring mean matrix is irreducible, in other words, when the process is indecomposable. It is proved that sequences of appropriately scaled random step functions formed from periodic subsequences of a critical indecomposable …