Asymptotic behavior of a multi-type nearly critical Galton--Watson processes with immigration
Probability
2013-07-31 v1
Abstract
Multi-type inhomogeneous Galton--Watson process with immigration is investigated, where the offspring mean matrix slowly converges to a critical mean matrix. Under general conditions we obtain limit distribution for the process, where the coordinates of the limit vector are not necessarily independent.
Keywords
Cite
@article{arxiv.1307.7917,
title = {Asymptotic behavior of a multi-type nearly critical Galton--Watson processes with immigration},
author = {László Györfi and Márton Ispány and Péter Kevei and Gyula Pap},
journal= {arXiv preprint arXiv:1307.7917},
year = {2013}
}
Comments
26 pages