Bayesian estimation of simplex distribution nonlinear mixed models for longitudinal data

Yuanying Zhao, Dengke Xu, Xingde Duan, Liang Yuan Dai · International Journal of Applied Mathematics & Statistics/International journal of applied mathematics and statistics · 2014

The main thrust of this paper is to study Bayesian analysis of simplex distribution nonlinear mixed models for longitudinal data. A hybrid algorithm that combines the Gibbs sampler and Metropolis-Hastings algorithm is implemented to produce the joint Bayesian estimates of parameters and random effects. Simulation studies and a real example are presented to illustrate the methodologies.

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