Statistical inference of 2-type critical Galton–Watson processes with immigration

Körmendi, Kristóf and Pap, Gyula (2018) Statistical inference of 2-type critical Galton–Watson processes with immigration. Statistical Inference for Stochastic Processes, 21 (1). pp. 169-190. ISSN 1387-0874

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Abstract

In this paper the asymptotic behavior of the conditional least squares estimators of the offspring mean matrix for a 2-type critical positively regular Galton–Watson branching process with immigration is described. We also study this question for a natural estimator of the spectral radius of the offspring mean matrix, which we call criticality parameter. We discuss the subcritical case as well.

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