Bayesian inference with misspecified models

DOI10.1016/j.jspi.2013.05.013zbMath1279.62066OpenAlexW2064505280MaRDI QIDQ394761

Stephen G. Walker

Publication date: 27 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.jspi.2013.05.013

zbMATH Keywords

exchangeabilityregression modelsindependent and identically distributedBayesian asymptoticslearning modelmisspecified modelmixture of Dirichlet process modelstime series models

Mathematics Subject Classification ID

Bayesian inference (62F15)

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Cites Work

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• Reversible jump Markov chain Monte Carlo computation and Bayesian model determination
• Slice sampling mixture models
• On a class of Bayesian nonparametric estimates: I. Density estimates
• Asymptotic behavior of Bayes estimates under possibly incorrect models
• Posterior consistency of Dirichlet mixtures in density estimation
• Converting information into probability measures with the Kullback-Leibler divergence
• The consistency of posterior distributions in nonparametric problems
• Misspecification in infinite-dimensional Bayesian statistics
• A Bayesian analysis of some nonparametric problems
• Objections to Bayesian statistics
• Posterior Sampling When the Normalizing Constant is Unknown
• Symmetric Measures on Cartesian Products
• Bayesian Nonparametrics
• Bayesian curve fitting using multivariate normal mixtures
• Sampling and Bayes' Inference in Scientific Modelling and Robustness
• Integral Representations of Invariant Measures
• Gibbs Sampling for Bayesian Non-Conjugate and Hierarchical Models by Using Auxiliary Variables
• Gibbs Sampling Methods for Stick-Breaking Priors
• Bayesian Density Estimation and Inference Using Mixtures
• Bayes Factors
• Bayesian Priors from Loss Matching
• Limiting Behavior of Posterior Distributions when the Model is Incorrect
• On Bayes procedures
• On Priors With a Kullback–Leibler Property
• On Information and Sufficiency
• Maximum Likelihood Estimation of Misspecified Models
• The case for objective Bayesian analysis
• Subjective Bayesian analysis: principles and practice