Asymptotic properties of posterior distributions in nonparametric regression with non-Gaussian errors
DOI10.1007/s10463-008-0168-2zbMath1332.62130OpenAlexW2020355545MaRDI QIDQ904050
Publication date: 15 January 2016
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10463-008-0168-2
Kullback-Leibler divergenceposterior consistencyHellinger metricsymmetric densityprior positivityuniformly consistent tests
Nonparametric regression and quantile regression (62G08) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Bayesian inference (62F15) Bayesian problems; characterization of Bayes procedures (62C10)
Related Items (5)
Cites Work
- Unnamed Item
- Posterior consistency of Gaussian process prior for nonparametric binary regression
- Convergence rates of posterior distributions for non iid observations
- On inconsistent Bayes estimates of location
- Uniformly powerful goodness of fit tests
- Consistent nonparametric regression. Discussion
- Posterior consistency for semi-parametric regression problems
- New approaches to Bayesian consistency
- Rates of convergence of posterior distributions.
- Bayesian nonparametrics
- Convergence rates for posterior distributions and adaptive estimation
- Bayesian learning for neural networks
- The consistency of posterior distributions in nonparametric problems
- On posterior consistency in nonparametric regression problems
- Posterior consistency of logistic Gaussian process priors in density estimation
- Misspecification in infinite-dimensional Bayesian statistics
- Alternative posterior consistency results in nonparametric binary regression using Gaussian process priors
- The Integral of a Symmetric Unimodal Function over a Symmetric Convex Set and Some Probability Inequalities
- On Consistency of Bayesian Inference with Mixtures of Logistic Regression
- Bayesian Estimation of the Spectral Density of a Time Series
- On the Asymptotic Behavior of Bayes' Estimates in the Discrete Case
- On Bayes procedures
- A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
This page was built for publication: Asymptotic properties of posterior distributions in nonparametric regression with non-Gaussian errors