Anisotropic spectral cut-off estimation under multiplicative measurement errors

DOI10.1016/J.JMVA.2022.104990OpenAlexW3179263009MaRDI QIDQ2140868

Sergio Brenner Miguel

Publication date: 23 May 2022

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.02120

zbMATH Keywords

Mellin transforminverse problemadaptationanisotropic density estimationminimax theorymultiplicative measurement errorsanisotropic Mellin-Sobolev spaces

Mathematics Subject Classification ID

Density estimation (62G07) Nonparametric estimation (62G05) Minimax procedures in statistical decision theory (62C20) Multivariate analysis (62Hxx)

Related Items (1)

Linear functional estimation under multiplicative measurement error

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Structural adaptive deconvolution under \({\mathbb{L}_p}\)-losses
• On the optimal rates of convergence for nonparametric deconvolution problems
• Deconvolution problems in nonparametric statistics
• Oracle inequalities and adaptive estimation in the convolution structure density model
• Concentration around the mean for maxima of empirical processes
• Anisotropic adaptive kernel deconvolution
• Spectral cut-off regularisation for density estimation under multiplicative measurement errors
• Nonparametric density estimation from observations with multiplicative measurement errors
• Anisotropic multivariate deconvolution using projection on the Laguerre basis
• Nonparametric estimation in a multiplicative censoring model with symmetric noise
• Introduction to nonparametric estimation
• Large deviations of sums of independent random variables
• New concentration inequalities in product spaces

This page was built for publication: Anisotropic spectral cut-off estimation under multiplicative measurement errors