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Asymptotic behavior of critical primitive multi-type branching processes with immigration
Asymptotic behavior critical primitive multi-type branching processes immigration Probability
2012/5/24
Under natural assumptions a Feller type diffusion approximation is derived for critical multi-type branching processes with immigration when the offspring mean matrix is primitive (in other words, pos...
Asymptotics of nearly critical Galton-Watson processes with immigration
nearly critical Galton–Watson process immigration compound Poisson distribution negative binomial distribution
2011/9/5
Abstract: We investigate the inhomogeneous Galton--Watson processes with immigration, where $\rho_n$ the offspring means in the $n^\textrm{th}$ generation tends to 1. We show that if the second deriva...
A Lamperti type representation of Continuous-State Branching Processes with Immigration
Levy processes Continuous branching processes with immigration time-change
2011/1/20
Guided by the relationship between the breadth- rst walk of a rooted tree and its sequence of generation sizes, we extend the Lamperti representation of continuous-state branching processes to allow i...