Bayesian Optimal Adaptive Estimation Using a Sieve Prior
From MaRDI portal
Publication:2852628
DOI10.1002/sjos.12002zbMath1364.62102arXiv1204.2392OpenAlexW3123767603MaRDI QIDQ2852628
Ghislaine Gayraud, Julyan Arbel, Judith Rousseau
Publication date: 9 October 2013
Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.2392
Asymptotic properties of nonparametric inference (62G20) Bayesian inference (62F15) Minimax procedures in statistical decision theory (62C20) Nonparametric statistical resampling methods (62G09)
Related Items (26)
Bayes procedures for adaptive inference in inverse problems for the white noise model ⋮ Designing truncated priors for direct and inverse Bayesian problems ⋮ On some aspects of the asymptotic properties of Bayesian approaches in nonparametric and semiparametric models ⋮ Adaptive Bayesian Procedures Using Random Series Priors ⋮ Bayesian inverse problems with non-conjugate priors ⋮ Bayesian sieve method for piece-wise smooth regression ⋮ Optimal convergence rates of Bayesian wavelet estimation with a novel empirical prior in nonparametric regression model ⋮ Posterior concentration and fast convergence rates for generalized Bayesian learning ⋮ Bayesian semi-parametric estimation of the long-memory parameter under FEXP-priors ⋮ On adaptive posterior concentration rates ⋮ A Bernstein-von Mises theorem for smooth functionals in semiparametric models ⋮ Bayesian estimation of nonlinear Hawkes processes ⋮ Bayesian adaptation ⋮ Besov-Laplace priors in density estimation: optimal posterior contraction rates and adaptation ⋮ Adaptive variational Bayes: optimality, computation and applications ⋮ Bayesian sieve methods: approximation rates and adaptive posterior contraction rates ⋮ Asymptotic frequentist coverage properties of Bayesian credible sets for sieve priors ⋮ Bayesian inference in nonparanormal graphical models ⋮ Bayesian linear inverse problems in regularity scales ⋮ Hypotheses testing and posterior concentration rates for semi-Markov processes ⋮ Full adaptation to smoothness using randomly truncated series priors with Gaussian coefficients and inverse gamma scaling ⋮ Rates of contraction of posterior distributions based on \(p\)-exponential priors ⋮ Oracle posterior contraction rates under hierarchical priors ⋮ Uncertainty quantification for Bayesian CART ⋮ Data-driven priors and their posterior concentration rates ⋮ Rates of contraction with respect to \(L_2\)-distance for Bayesian nonparametric regression
Cites Work
- Bayesian nonparametric estimation of the spectral density of a long or intermediate memory Gaussian process
- Adaptive nonparametric Bayesian inference using location-scale mixture priors
- Bernstein-von Mises theorem for linear functionals of the density
- Adaptive Bayesian estimation using a Gaussian random field with inverse gamma bandwidth
- Rates of convergence for the posterior distributions of mixtures of betas and adaptive nonparametric estimation of the density
- Trade-offs between global and local risks in nonparametric function estimation
- Rates of contraction of posterior distributions based on Gaussian process priors
- Posterior convergence rates of Dirichlet mixtures at smooth densities
- On the posterior pointwise convergence rate of a Gaussian signal under a conjugate prior
- Asymptotic equivalence of nonparametric regression and white noise
- Adaptive Bayesian inference on the mean of an infinite-dimensional normal distribution
- Minimax estimation via wavelet shrinkage
- Convergence rates of posterior distributions.
- Bayesian aspects of some nonparametric problems
- Rates of convergence of posterior distributions.
- Convergence rates for posterior distributions and adaptive estimation
- Adaptive Bayesian density estimation with location-scale mixtures
- The consistency of posterior distributions in nonparametric problems
- Convergence rates for Bayesian density estimation of infinite-dimensional exponential families
- Nonparametric Bayesian model selection and averaging
- Oracle convergence rate of posterior under projection prior and Bayesian model selection
- Pointwise optimality of Bayesian wavelet estimators
- On optimality of Bayesian testimation in the normal means problem
- Posterior concentration rates for infinite dimensional exponential families
- Wavelet Thresholding via A Bayesian Approach
- On Optimality of Bayesian Wavelet Estimators
- The Bayesian Choice
- On Bayesian testimation and its application to wavelet thresholding
- Introduction to nonparametric estimation
This page was built for publication: Bayesian Optimal Adaptive Estimation Using a Sieve Prior