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Adaptive Bayesian density estimation in sup-norm (Q2137019)

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scientific article; zbMATH DE number 7526585

Language	Label	Description	Also known as
English	Adaptive Bayesian density estimation in sup-norm	scientific article; zbMATH DE number 7526585

Statements

scholarly article

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Adaptive Bayesian density estimation in sup-norm (English)

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Zacharie Naulet

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publication date

16 May 2022

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full work available at URL

https://arxiv.org/abs/1805.05816

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https://projecteuclid.org/journals/bernoulli/volume-28/issue-2/Adaptive-Bayesian-density-estimation-in-sup-norm/10.3150/21-BEJ1387.full

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zbMATH Keywords

adaptation

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Bayesian density estimation

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supremum norm

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MaRDI profile type

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The consistency of posterior distributions in nonparametric problems

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Concentration inequalities. A nonasymptotic theory of independence

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Asymptotic nonequivalence of nonparametric experiments when the smoothness index is \(1/2\)

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On Bayesian supremum norm contraction rates

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Pólya tree posterior distributions on densities

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Spike and slab Pólya tree posterior densities: adaptive inference

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Wavelets on the interval and fast wavelet transforms

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Density estimation by wavelet thresholding

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Convergence rates of posterior distributions.

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Posterior convergence rates of Dirichlet mixtures at smooth densities

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Convergence rates of posterior distributions for non iid observations

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Rates of contraction for posterior distributions in \(L^{r}\)-metrics, \(1 \leq r \leq \infty\)

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Mathematical Foundations of Infinite-Dimensional Statistical Models

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On adaptive minimax density estimation on \(\mathbb R^d\)

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A Lower Bound on the Risks of Non-Parametric Estimates of Densities in the Uniform Metric

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On adaptive posterior concentration rates

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On Consistency of Nonparametric Normal Mixtures for Bayesian Density Estimation

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Bayesian Variable Selection in Linear Regression

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Adaptive Bayesian density estimation in sup-norm

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Bernstein-von Mises theorem for linear functionals of the density

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On Bayes procedures

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Adaptive Bayesian density estimation in \(L^p\)-metrics with Pitman-Yor or normalized inverse-Gaussian process kernel mixtures

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Rates of convergence of posterior distributions.

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On rates of convergence for posterior distributions in infinite-dimensional models

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Supremum norm posterior contraction and credible sets for nonparametric multivariate regression

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Identifiers

10.3150/21-BEJ1387

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2137019

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