Rejoinder to discussions of ``Frequentist coverage of adaptive nonparametric Bayesian credible sets

DOI10.1214/15-AOS1270REJzbMath1321.62045arXiv1509.01906OpenAlexW2143347572MaRDI QIDQ2515486

J. H. van Zanten, Aad W. van der Vaart, Botond Szabó

Publication date: 5 August 2015

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01906

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Nonparametric tolerance and confidence regions (62G15)

Related Items

Adaptive Bayesian credible bands in regression with a Gaussian process prior

Cites Work

• Bayes procedures for adaptive inference in inverse problems for the white noise model
• Bayesian inverse problems with non-conjugate priors
• Concentration rate and consistency of the posterior distribution for selected priors under monotonicity constraints
• On the Bernstein-von Mises phenomenon for nonparametric Bayes procedures
• Bayesian inverse problems with Gaussian priors
• Honest Bayesian confidence sets for the \(L^2\)-norm
• Credible sets in the fixed design model with Brownian motion prior
• Adaptive empirical Bayesian smoothing splines
• Empirical Bayes scaling of Gaussian priors in the white noise model
• Confidence bands in density estimation
• Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems
• Frequentist coverage of adaptive nonparametric Bayesian credible sets
• Bayesian Recovery of the Initial Condition for the Heat Equation