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Conferencia: : Bayesian Inference on Multivariate-t Nonlinear Mixed-effects Models for Multiple Longitudinal Data with Missing Values.

Prof. Luis Castro

Pontificia Universidad católica de Chile.

fecha y hora: Martes 24 de Julio 2018 15 h

Resumen: The multivariate-t nonlinear mixed-effects model (MtNLMM) has been shown a promising robust tool for analyzing multiple longitudinal tra jectories following arbitrary growth patterns in the presence of outliers and possible missing responses. Owing to intractable likelihood function of the model, we devise a fully Bayesian estimat- ing procedure to account for the uncertainties of model parameters, random effects, and missing responses via the Markov chain Monte Carlo method. Posterior predictive inferences for the future values and missing responses are also investigated. We conduct a simulation study to demonstrate the feasibility of our Bayesian sampling schemes. The proposed techniques are illustrated through applications to two case studies. Joint work with Wan-Lun Wang (FCU).