Empirical geometry of multivariate data: a deconvolution approach.
type: Item
instance of: scholarly article
title: Empirical geometry of multivariate data: a deconvolution approach.
zbMATH Open document ID: 1105.62345
published in: The Annals of Statistics
publication date: 2002-11-14T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.aos/1016218232
Mathematics Subject Classification ID: 62H05
Mathematics Subject Classification ID: 62H99
Mathematics Subject Classification ID: 62H12
zbMATH DE Number: 1828954
zbMATH Keywords: support of probability distribution
zbMATH Keywords: metric entropy
zbMATH Keywords: entropy dimension
zbMATH Keywords: clusters
zbMATH Keywords: deconvolving estimators
author: Vladimir Koltchinskii
MaRDI profile type: Publication
OpenAlex ID: W2070595951
cites work: Q4097679
cites work: Q4373484
cites work: Q3996285
cites work: Optimal Rates of Convergence for Deconvolving a Density
cites work: A plug-in approach to support estimation
cites work: The estimation of the order of a mixture model
cites work: Density Estimation for the Case of Supersmooth Measurement Error
cites work: On the optimal rates of convergence for nonparametric deconvolution problems
cites work: Deconvolution with supersmooth distributions
cites work: Techniques in fractal geometry
cites work: Q3998716
cites work: Q3786012
cites work: Q4373476
cites work: Regular structures. Lectures in pattern theory, Vol. 3
cites work: Q4148820
cites work: Q3994557
cites work: Q3852993
cites work: Q3265072
cites work: Minimax theory of image reconstruction
cites work: Efficient estimation of monotone boundaries
cites work: Q3997990
cites work: Asymptotical minimax recovery of sets with smooth boundaries
cites work: A central limit theorem for k-means clustering
cites work: Measuring mass concentrations and estimating density contour clusters -- An excess mass approach
cites work: Deconvolving kernel density estimators
cites work: Weak convergence and empirical processes. With applications to statistics
cites work: Fourier methods for estimating mixing densities and distributions
DOI: 10.1214/AOS/1016218232
description: scientific article; zbMATH DE number 1828954