Nonparametric Estimation of Regression Level Sets

DOI10.1080/02331889708802579zbMath0899.62045OpenAlexW2059566146MaRDI QIDQ4344165

Laurent Cavalier

Publication date: 21 October 1998

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331889708802579

zbMATH Keywords

optimal rate of convergenceexcess masspiecewise-polynomial estimatorregression level set

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Related Items (16)

Adaptive Hausdorff estimation of density level sets ⋮ Asymptotic normality of plug-in level set estimates ⋮ Confidence Regions for Spatial Excursion Sets From Repeated Random Field Observations, With an Application to Climate ⋮ Overlaying classifiers: A practical approach to optimal scoring ⋮ Confidence regions for level sets ⋮ Depth level set estimation and associated risk measures ⋮ Optimal subgroup selection ⋮ BUSDM – an algorithm for the bottom-up search of departures from a model ⋮ Nonparametric inference via bootstrapping the debiased estimator ⋮ Estimation of regression contour clusters -- an application of the excess mass approach to regression ⋮ Mass volume curves and anomaly ranking ⋮ Nonparametric estimation of regression level sets using kernel plug-in estimator ⋮ Bandwidth selection for kernel density estimators of multivariate level sets and highest density regions ⋮ Posterior contraction and credible regions for level sets ⋮ Exact asymptotic limit for kernel estimation of regression level sets ⋮ Estimating covariate functions associated to multivariate risks: a level set approach

Cites Work

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• Minimax theory of image reconstruction
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• The excess-mass ellipsiod
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• Measuring mass concentrations and estimating density contour clusters -- An excess mass approach
• Estimation of non-sharp support boundaries
• Excess Mass Estimates and Tests for Multimodality
• Estimation of a Convex Density Contour in Two Dimensions
• [https://portal.mardi4nfdi.de/wiki/Publication:4743580 Approximation dans les espaces m�triques et th�orie de l'estimation]

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