Posterior propriety of an objective prior for generalized hierarchical normal linear models

DOI10.1080/24754269.2021.1978206OpenAlexW4288748733MaRDI QIDQ5880139

Cong Lin, Chengyuan Song, Dongchu Sun

Publication date: 7 March 2023

Published in: Statistical Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/24754269.2021.1978206

zbMATH Keywords

Gibbs samplingposterior proprietyobjective Bayesian analysishierarchical linear modellinear mixed-effect model

Mathematics Subject Classification ID

Statistics (62-XX)

Uses Software

• rstiefel

Cites Work

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• Posterior propriety for hierarchical models with log-likelihoods that have norm bounds
• A robust generalized Bayes estimator and confidence region for a multivariate normal mean
• Prior distributions for objective Bayesian analysis
• Estimation of a covariance matrix using the reference prior
• On the construction of Bayes minimax estimators
• An objective prior for hyperparameters in normal hierarchical models
• Bayesian analysis of the covariance matrix of a multivariate normal distribution with a new class of priors
• Posterior propriety and admissibiity of hyperpriors in normal hierarchical models
• Conservative prior distributions for variance parameters in hierarchical models
• EXACT LOCAL WHITTLE ESTIMATION OF FRACTIONAL INTEGRATION WITH UNKNOWN MEAN AND TIME TREND
• The Effect of Improper Priors on Gibbs Sampling in Hierarchical Linear Mixed Models
• Fully Bayesian spline smoothing and intrinsic autoregressive priors
• Nonconjugate Bayesian Estimation of Covariance Matrices and Its Use in Hierarchical Models
• Prior distributions for variance parameters in hierarchical models (Comment on article by Browne and Draper)