Consistency of Bayes estimators without the assumption that the model is correct

DOI10.1016/j.jspi.2010.07.022zbMath1214.62025OpenAlexW2067839420MaRDI QIDQ607191

Juhee Lee, Steven N. MacEachern

Publication date: 19 November 2010

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.2010.07.022

zbMATH Keywords

incorrect model specification

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Parametric hypothesis testing (62F03) Bayesian inference (62F15)

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Cites Work

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• Quantile pyramids for Bayesian nonparametrics
• On the consistency of Bayes estimates
• Asymptotic methods in statistical decision theory
• Posterior consistency for semi-parametric regression problems
• Asymptotic behavior of Bayes estimates under possibly incorrect models
• Posterior consistency of Dirichlet mixtures in density estimation
• Rates of convergence of posterior distributions.
• Bayesian nonparametrics
• On convergence of posterior distributions
• The consistency of posterior distributions in nonparametric problems
• Misspecification in infinite-dimensional Bayesian statistics
• Bayesian Model Averaging for Linear Regression Models
• On sufficient conditions for Bayesian consistency
• On the Asymptotic Behavior of Bayes' Estimates in the Discrete Case
• Limiting Behavior of Posterior Distributions when the Model is Incorrect
• On Bayes procedures
• Asymptotic Expansions Associated with Posterior Distributions
• A Limit Theoerm for Random Variables with Infinite Moments