Two-sex Branching Models with Random Control on the Number of Progenitor Couples

Manuel Molina (), Manuel Mota and Alfonso Ramos
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Manuel Molina: University of Extremadura
Manuel Mota: University of Extremadura
Alfonso Ramos: University of Extremadura

Methodology and Computing in Applied Probability, 2012, vol. 14, issue 1, 35-48

Abstract: Abstract In this paper we introduce a class of two-sex branching models where, in each generation, a random control on the number of progenitor couples in the population is considered. For such a class, several probabilistic results are established. Also assuming offspring probability distribution belonging to the bivariate power series family, Bayes estimators for the mean vector and the covariance matrix of the offspring distribution are proposed. A computational method to determine highest posterior density credibility sets is stated. As illustration, a simulated example is provided.

Keywords: Branching processes; Two-sex processes; Controlled processes; Bayesian inference; Bivariate power series distributions family; 60J80; 62M05 (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s11009-010-9167-x

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