Two Taylor-series approximation methods for nonlinear mixed models
Computational Statistics & Data Analysis
REML estimation for binary data in GLMMs
Journal of Multivariate Analysis
Inference in HIV dynamics models via hierarchical likelihood
Computational Statistics & Data Analysis
Conditional Akaike information criterion for generalized linear mixed models
Computational Statistics & Data Analysis
Hi-index | 0.03 |
The restricted maximum likelihood (REML) procedure is useful for inferences about variance components in linear mixed models (LMMs). However, its extension to nonlinear mixed models (NLMMs) is often hampered by analytically intractable integrals. For NLMMs various estimation methods have been suggested, but they have suffered from unsatisfactory biases. In this paper we propose a statistically and computationally efficient REML procedure, based upon hierarchical likelihood. Numerical studies show that the proposed method reduces the biases in the existing methods that we studied. We also study how the current REML procedure for LMMs can be modified to compute the proposed estimators.