Bayesian consistency with the supremum metric

DOI10.5705/SS.202022.0062MaRDI QIDQ6593363

Nhat Ho, Stephen G. Walker

Publication date: 26 August 2024

Published in: STATISTICA SINICA (Search for Journal in Brave)

zbMATH Keywords

weak convergencesinc kernelProkhorov metricFourier integral theorem

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

• Supremum norm posterior contraction and credible sets for nonparametric multivariate regression
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• A novel approach to Bayesian consistency
• Posterior contraction rates of density derivative estimation
• New approaches to Bayesian consistency
• Posterior consistency of Dirichlet mixtures in density estimation
• Fourier methods for estimating mixing densities and distributions
• The consistency of posterior distributions in nonparametric problems
• Posterior contraction and credible regions for level sets
• Posterior contraction and credible sets for filaments of regression functions
• Kullback Leibler property of kernel mixture priors in Bayesian density estimation
• The Fourier integral and certain of its applications.
• Lectures on Fourier Integrals. (AM-42)
• On Choosing and Bounding Probability Metrics
• Adaptive Bayesian multivariate density estimation with Dirichlet mixtures
• On Bayes procedures
• Fundamentals of Nonparametric Bayesian Inference

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