Title: Bayesian inference for a multitype two-sex branching process for X-linked recessive disorders
Authors: Miguel Gonzalez Velasco - University of Extremadura (Spain) [presenting]
Cristina Gutierrez Perez - University of Extremadura (Spain)
Alicia Leon Naranjo - Universidad de Extremadura (Spain)
Rodrigo Martinez Quintana - University of Extremadura (Spain)
Abstract: Recently, a multitype two-sex branching process has been introduced for describing the evolution of the number of individuals carrying the alleles, R and r, of a gene linked to X chromosome. The R allele is considered dominant and the r allele is supposed to be recessive and defective, responsible of a disorder (hemophilia, red-green color blindness or the Duchenne and Becker's muscular dystrophies are examples of these diseases). For this model we investigate the estimation of its main parameters from a Bayesian standpoint. Concretely, we apply the Approximate Bayesian Computation (ABC) methodology to approximate its posterior distributions. The accuracy of the procedure is illustrated and discussed by way of simulated examples developed with R.