Inference for controlled branching processes

M. González Velasco, C. Minuesa Abril, I. M. del Puerto García

Controlled branching processes are a class of discrete time stochastic growth population models characterized by the existence of a random control mechanism for determining in each generation how many progenitors participate in the subsequent reproduction process. Once the number of progenitors is known, each one reproduces independently of the others according to the same probability law. The idea of branching has been relevant in the development of theoretical approaches to problems in many applied fields. The novelty of adding to the branching notion a random control mechanism allows to model a great variety of random migratory movements. It is the aim of this work to present a survey about the inferential procedures to deal with the estimation issues arising from this model.

Research supported by Ministerio de Educación, Cultura y Deporte (FPU13/03213), Ministerio de Economía y Competividad (MTM2015-70522-P), Gobierno de Extremadura (GR15105) and the FEDER.

Palabras clave: Branching process, Controlled process, Estimation theory.

L08.5 Procesos Estocásticos II
5 de septiembre de 2016  15:40
Aula 21.06

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