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

Ispány, Márton and Körmendi, Kristóf and Pap, Gyula (2014) Asymptotic behavior of CLS estimators for 2-type doubly symmetric critical Galton-Watson processes with immigration. BERNOULLI, 20 (4). pp. 2247-2277. ISSN 1350-7265

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Abstract

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

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