Concentration inequalities and confidence bands for needlet density estimators on compact homogeneous manifolds
From MaRDI portal
Publication:438975
DOI10.1007/s00440-011-0348-5zbMathNonearXiv1102.2450OpenAlexW3101831753MaRDI QIDQ438975
Richard Nickl, Dominique Picard, Gérard Kerkyacharian
Publication date: 31 July 2012
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.2450
Density estimation (62G07) Inequalities; stochastic orderings (60E15) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)
Related Items
Nonparametric regression using needlet kernels for spherical data, Multiresolution analysis and adaptive estimation on a sphere using stereographic wavelets, Adaptive global thresholding on the sphere, Tail behavior of Mexican needlets, Measuring distributional asymmetry with Wasserstein distance and Rademacher symmetrization, Fully discrete needlet approximation on the sphere, Adaptive confidence sets in \(L^2\), Locally adaptive density estimation on the unit sphere using needlets, Nonparametric needlet estimation for partial derivatives of a probability density function on the d -torus, Adaptive estimation in the nonparametric random coefficients binary choice model by needlet thresholding, Flexible-bandwidth needlets, The smoothness test for a density function, Gaussian approximation of suprema of empirical processes, Extreme value analysis of empirical frame coefficients and implications for denoising by soft-thresholding, Confidence regions for images observed under the Radon transform, On adaptive inference and confidence bands, Locally adaptive confidence bands, New tests of uniformity on the compact classical groups as diagnostics for weak-\(^{*}\) mixing of Markov chains, On high-frequency limits of \(U\)-statistics in Besov spaces over compact manifolds, Density estimation on an unknown submanifold, A review of uncertainty quantification for density estimation, A Smooth Simultaneous Confidence Corridor for the Mean of Sparse Functional Data, Inference on covariance operators via concentration inequalities: \(k\)-sample tests, classification, and clustering via Rademacher complexities, Needlets Estimation in Cosmology and Astrophysics, Asymptotic behaviour of level sets of needlet random fields, Block thresholding on the sphere, Adaptive estimation over anisotropic functional classes via oracle approach
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Band-limited localized Parseval frames and Besov spaces on compact homogeneous manifolds
- Localized spherical deconvolution
- Adaptive estimation of a distribution function and its density in sup-norm loss by wavelet and spline projections
- Uniform limit theorems for wavelet density estimators
- Decomposition of Besov and Triebel-Lizorkin spaces on the sphere
- Can one estimate the conditional distribution of post-model-selection estimators?
- Concentration inequalities and model selection. Ecole d'Eté de Probabilités de Saint-Flour XXXIII -- 2003.
- Adaptive density estimation for directional data using needlets
- The addition formula for the eigenfunctions of the Laplacian
- On nonparametric confidence intervals
- Optimal confidence bands for shape-restricted curves
- On the Frisch-Parisi conjecture
- Adaptive confidence interval for pointwise curve estimation.
- On some global measures of the deviations of density function estimates
- Local Rademacher complexities and oracle inequalities in risk minimization. (2004 IMS Medallion Lecture). (With discussions and rejoinder)
- Confidence bands in density estimation
- Continuous wavelets on compact manifolds
- Global uniform risk bounds for wavelet deconvolution estimators
- Two-point homogeneous spaces
- Localized Tight Frames on Spheres
- Asymptotic Minimax Risk for the White Noise Model on the Sphere
- New concentration inequalities in product spaces