Prior elicitation for model selection and estimation in generalized linear mixed models

DOI10.1016/S0378-3758(02)00285-9zbMath1027.62056OpenAlexW2081519250MaRDI QIDQ1869080

Joseph G. Ibrahim, Robert E. Weiss, Ming-Hui Chen, Qui-Man Shao

Publication date: 9 April 2003

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(02)00285-9

zbMATH Keywords

CorrelationGibbs samplingBayesian variable selectionRandom effectsPoisson RegressionHistorical dataPrior distribution

Mathematics Subject Classification ID

Bayesian inference (62F15) Generalized linear models (logistic models) (62J12)

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Cites Work

• Unnamed Item
• Random-Effects Models for Longitudinal Data
• Statistical decision theory and Bayesian analysis. 2nd ed
• Prior Elicitation, Variable Selection and Bayesian Computation for Logistic Regression Models
• A Predictive Approach to the Analysis of Designed Experiments
• Importance-Weighted Marginal Bayesian Posterior Density Estimation
• A New Perspective on Priors for Generalized Linear Models
• The Effect of Improper Priors on Gibbs Sampling in Hierarchical Linear Mixed Models
• Approximate Inference in Generalized Linear Mixed Models
• Adaptive Rejection Sampling for Gibbs Sampling
• A note on the existence of the posterior distribution for a class of mixed models for binomial responses