Consistency of Bayes estimates for nonparametric regression: normal theory

DOI10.2307/3318659zbMath1037.62031OpenAlexW2041327972MaRDI QIDQ1283374

Persi Diaconis, David Freedman

Publication date: 1998

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3318659

zbMATH Keywords

waveletssplinesconsistencymodel selectioninconsistencybinary regressionBayes estimatesflat priors

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Bayesian problems; characterization of Bayes procedures (62C10)

Related Items

A Bernstein-von Mises theorem in the nonparametric right-censoring model, Constraints versus Priors, The semiparametric Bernstein-von Mises theorem, The consistency of posterior distributions in nonparametric problems, Fully Bayesian analysis of the relevance vector machine with an extended hierarchical prior structure, Modern Bayesian asymptotics, Brittleness of Bayesian inference under finite information in a continuous world, Empirical Bayesian test of the smoothness, Frequentist Consistency of Variational Bayes, Rates of convergence of posterior distributions., The Bayesian analysis of complex, high-dimensional models: can it be CODA?, Gibbs posterior convergence and the thermodynamic formalism