Adaptive rates of contraction of posterior distributions in Bayesian wavelet regression
From MaRDI portal
Publication:393540
DOI10.1016/j.jspi.2013.09.002zbMath1278.62038OpenAlexW1975027185MaRDI QIDQ393540
Publication date: 23 January 2014
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jspi.2013.09.002
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Bayesian inference (62F15)
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Cites Work
- Unnamed Item
- Rates of contraction for posterior distributions in \(L^{r}\)-metrics, \(1 \leq r \leq \infty\)
- On posterior distribution of Bayesian wavelet thresholding
- Adaptive Bayesian estimation using a Gaussian random field with inverse gamma bandwidth
- Posterior consistency of Gaussian process prior for nonparametric binary regression
- Convergence rates of posterior distributions for non iid observations
- A data-driven block thresholding approach to wavelet estimation
- Asymptotic equivalence of nonparametric regression and white noise
- Block thresholding and wavelet estimation for nonequispaced samples
- Bayesian analysis of proportional hazard models
- Adaptive Bayesian inference on the mean of an infinite-dimensional normal distribution
- Adaptive wavelet estimation: A block thresholding and oracle inequality approach
- Density estimation by wavelet thresholding
- Convergence rates of posterior distributions.
- Rates of convergence of posterior distributions.
- On adaptive wavelet estimation of a derivative and other related linear inverse problems
- Needles and straw in a haystack: posterior concentration for possibly sparse sequences
- Nonparametric Bayesian model selection and averaging
- On optimality of Bayesian testimation in the normal means problem
- Frequentist optimality of Bayesian wavelet shrinkage rules for Gaussian and non-Gaussian noise
- Empirical Bayes selection of wavelet thresholds
- Posterior concentration rates for infinite dimensional exponential families
- Bracketing metric entropy rates and empirical central limit theorems for function classes of Besov- and Sobolev-type
- Nonparametric Bayesian density estimation on manifolds with applications to planar shapes
- Nonlinear Wavelet Shrinkage with Bayes Rules and Bayes Factors
- Wavelet Thresholding via A Bayesian Approach
- Ideal spatial adaptation by wavelet shrinkage
- Consistency of Bernstein Polynomial Posteriors
- On Optimality of Bayesian Wavelet Estimators
- On Bayesian testimation and its application to wavelet thresholding
