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.