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B1149
Title: EM algorithm for the multivariate power series offspring distributions Authors:  Dimitar Atanasov - New Bulgarian University (Bulgaria)
Vessela Stoimenova - Sofia University (Bulgaria) [presenting]
Abstract: The two-type discrete-time branching process is considered supposing that the individual distributions of both particle types belong to the bivariate power series distribution family. The focus of the study is the parametric estimation of the offspring distribution parameters. Based on the maximum likelihood estimators over the entire family tree EM estimators are found when data on the generation sizes over one trajectory is collected. Simulation and computation examples are carried out.