Normal approximation for Bayesian mixed effects binomial regression models

DOI10.1214/22-ba1312OpenAlexW4285236499MaRDI QIDQ6122028

Weining Shen, Brandon Berman, Wesley O. Johnson

Publication date: 27 February 2024

Published in: Bayesian Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/bayesian-analysis/volume-18/issue-2/Normal-Approximation-for-Bayesian-Mixed-Effects-Binomial-Regression-Models/10.1214/22-BA1312.full

zbMATH Keywords

Markov chain Monte Carloasymptotic approximationgeneralized linear mixed modelsbinomial regressionsufficient reduction

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic normality of posterior distributions for generalized linear mixed models
• Asymptotic posterior normality for multiparameter problems
• Approximate Bayesian Inference for Latent Gaussian models by using Integrated Nested Laplace Approximations
• Bayesian inference for generalized linear mixed models
• Accurate Approximations for Posterior Moments and Marginal Densities
• Maximum Likelihood Algorithms for Generalized Linear Mixed Models
• Approximate Inference in Generalized Linear Mixed Models
• Adaptive Rejection Sampling for Gibbs Sampling
• Efficient parametrisations for normal linear mixed models
• Use of Model Reparametrization to Improve Variational Bayes
• Bayesian Inference for Logistic Models Using Pólya–Gamma Latent Variables
• Large-Sample Joint Posterior Approximations When Full Conditionals Are Approximately Normal
• The $\chi^2$ Test of Goodness of Fit

This page was built for publication: Normal approximation for Bayesian mixed effects binomial regression models