Asymptotic behavior of CLS estimators for $2$-type doubly symmetric critical Galton-Watson processes with immigration

Abstract

In this paper, the asymptotic behavior of the conditional least squares (CLS) estimators of the offspring means $(\alpha ,\beta )$ and of the criticality parameter $\varrho :=\alpha +\beta$ for a $2$-type critical doubly symmetric positively regular Galton-Watson branching process with immigration is described.

Published in at http://dx.doi.org/10.3150/13-BEJ556 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)

References in corpus (1)

• Asymptotic behavior of unstable INAR(p) processes