Oracle inequalities and adaptive estimation in the convolution structure density model
From MaRDI portal
Publication:1731755
DOI10.1214/18-AOS1687zbMath1419.62075WikidataQ128896063 ScholiaQ128896063MaRDI QIDQ1731755
Publication date: 14 March 2019
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.aos/1543568588
kernel estimatorsdensity estimationadaptive estimationoracle inequality$\mathbb{L}_p$-riskanisotropic Nikol'skii classdeconvolution model
Related Items
Minimax estimation of norms of a probability density. II: Rate-optimal estimation procedures, Anisotropic spectral cut-off estimation under multiplicative measurement errors, Estimation of varying coefficient models with measurement error, Deconvolution for some singular density errors via a combinatorial median of means approach, Recovering Latent Variables by Matching, Adaptive estimation of a function from its exponential Radon transform in presence of noise, A data-driven wavelet estimator for deconvolution density estimations, Generalized deconvolution estimation by multiwavelets, Point-wise wavelet estimation in the convolution structure density model, Anisotropic multivariate deconvolution using projection on the Laguerre basis, Density deconvolution under general assumptions on the distribution of measurement errors, Minimax bounds for Besov classes in density estimation, A pointwise lower bound for generalized deconvolution density estimation, Adaptive procedure for Fourier estimators: application to deconvolution and decompounding, Density estimation with contamination: minimax rates and theory of adaptation
Cites Work
- Unnamed Item
- Unnamed Item
- Multivariate density estimation under sup-norm loss: oracle approach, adaptation and independence structure
- Spatially adaptive density estimation by localised Haar projections
- On adaptive minimax density estimation on \(\mathbb R^d\)
- Lower bounds in the convolution structure density model
- Localized spherical deconvolution
- Bandwidth selection in kernel density estimation: oracle inequalities and adaptive minimax optimality
- Adaptively local one-dimensional subproblems with application to a deconvolution problem
- Strong consistency and rates for deconvolution of multivariate densities of stationary processes
- Adaptive density estimation: A curse of support?
- Structural adaptive deconvolution under \({\mathbb{L}_p}\)-losses
- Linear and convex aggregation of density estimators
- On the optimal rates of convergence for nonparametric deconvolution problems
- Adaptive density estimation using the blockwise Stein method
- On density estimation in the view of Kolmogorov's ideas in approximation theory
- Deconvolution problems in nonparametric statistics
- An exponential inequality for the distribution function of the kernel density estimator, with applications to adaptive estimation
- Differentiation of integrals in \(\mathbb{R}^n\)
- Rates of convergence of some estimators in a class of deconvolution problems
- Nonasymptotic universal smoothing factors, kernel complexity and Yatracos classes
- Adaptive wavelet estimator for nonparametric density deconvolution
- Deconvolving multidimensional density from partially contaminated observations
- A new approach to estimator selection
- On minimax density estimation on \(\mathbb R\)
- Density estimation by wavelet thresholding
- Deconvolving a density from partially contaminated observations
- Anisotropic adaptive kernel deconvolution
- Adaptation to anisotropy and inhomogeneity via dyadic piecewise polynomial selection
- Adaptive estimation over anisotropic functional classes via oracle approach
- Global uniform risk bounds for wavelet deconvolution estimators
- Model selection for density estimation with \(\mathbb L_2\)-loss
- A ridge-parameter approach to deconvolution
- Penalized contrast estimator for adaptive density deconvolution
- Deconvolving kernel density estimators
- Classical Fourier Analysis
- Sharp Optimality in Density Deconvolution with Dominating Bias. II
- Nonparametric Estimation of a Density of Unknown Smoothness
- Wavelet deconvolution
- A note on a fixed-point method for deconvolution
- Nonlinear estimation in anisotropic multi-index denoising