title: Stochastic optimization algorithms of a Bayesian design criterion for Bayesian parameter estimation of nonlinear regression models: application in pharmacokinetics.
abstract: This article proposes three stochastic algorithms to optimize a Bayesian design criterion for Bayesian estimation of the parameters of nonlinear regression models; this criterion is the information expected from an experiment. The first algorithm is based on a stochastic version of the simplex with an adaptive sampling procedure. The others are stochastic approximation algorithms: the Kiefer-Wolfowitz and the pseudogradient algorithms. We first present the information criterion and the optimization algorithms. The efficiency of each algorithm for optimizing this Bayesian design criterion is then assessed by a simulation study for a nonlinear model assuming a discrete prior distribution. An application for designing an experiment to estimate the kinetics of radioiodine thyroid uptake is then proposed.
authors.affiliation: INSERM U436, CHU Pitié-Salp etrière, Paris, France.
authors.forename: Y
authors.initials: Y
authors.lastname: Merlé
authors.forename: F
authors.initials: F
authors.lastname: Mentré
mesh_terms: D000465:Algorithms; D001499:Bayes Theorem; D008962:Models, Theoretical; D010599:Pharmacokinetics; D012044:Regression Analysis; D013269:Stochastic Processes