Minimax rates of convergence for Wasserstein deconvolution with supersmooth errors in any dimension

DOI10.1016/j.jmva.2013.08.009zbMath1280.62043arXiv1302.6103OpenAlexW2015241796MaRDI QIDQ391892

Bertrand Michel, Jérôme Dedecker

Publication date: 13 January 2014

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

Full work available at URL: https://arxiv.org/abs/1302.6103

zbMATH Keywords

Wasserstein metricssupersmooth distributions

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Minimax procedures in statistical decision theory (62C20)

Related Items (5)

Deconvolution for some singular density errors via a combinatorial median of means approach ⋮ Adaptive Bayesian density estimation in \(L^p\)-metrics with Pitman-Yor or normalized inverse-Gaussian process kernel mixtures ⋮ Strong identifiability and optimal minimax rates for finite mixture estimation ⋮ Improved rates for Wasserstein deconvolution with ordinary smooth error in dimension one ⋮ Minimax estimation of smooth optimal transport maps

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