Asymptotic minimax risk of predictive density estimation for non-parametric regression
From MaRDI portal
Publication:453278
DOI10.3150/09-BEJ222zbMath1345.62065arXiv1010.2064MaRDI QIDQ453278
Publication date: 19 September 2012
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.2064
Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)
Related Items
On minimax optimality of sparse Bayes predictive density estimates, From minimax shrinkage estimation to minimax shrinkage prediction, Optimal shrinkage estimation of predictive densities under \(\alpha\)-divergences, Empirical Bayes predictive densities for high-dimensional normal models, Minimax predictive density for sparse count data, On discrete priors and sparse minimax optimal predictive densities, Exact minimax estimation of the predictive density in sparse Gaussian models
Cites Work
- Unnamed Item
- Unnamed Item
- A risk bound in Sobolev class regression
- Estimation of square-integrable probability density of a random variable
- Admissible predictive density estimation
- Optimal filtering of square-integrable signals in Gaussian noise
- Conjugate priors for exponential families
- Nonparametric curve estimation. Methods, theory, and applications
- On adaptive estimation of nonlinear functionals
- Asymptotic equivalence of nonparametric regression and white noise
- Asymptotic equivalence of density estimation and Gaussian white noise
- On nonparametric estimation of density level sets
- Optimal prediction for linear regression with infinitely many parameters.
- On minimax filtering over ellipsoids
- Asymptotically minimax Bayes predictive densities
- Improved minimax predictive densities under Kullback-Leibler loss
- Exact Minimax Strategies for Predictive Density Estimation, Data Compression, and Model Selection
- PREDICTIVE DENSITY ESTIMATION FOR MULTIPLE REGRESSION
- Goodness of prediction fit
- Asymptotically Minimax Nonparametric Regression in L2