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

Gyula Pap; Krist\'of K\"ormendi; M\'arton Isp\'any

arxiv: 1210.8315 · v2 · pith:MM7UI7HNnew · submitted 2012-10-31 · 🧮 math.PR

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

M\'arton Isp\'any , Krist\'of K\"ormendi , Gyula Pap This is my paper

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keywords alphaasymptoticbehaviorbetacriticaldoublyestimatorsgalton-watson

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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.

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

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