Sequential methods for design-adaptive estimation of discontinuities in regression curves and surfaces

DOI10.1214/aos/1056562467zbMath1028.62069OpenAlexW2038946727MaRDI QIDQ1412370

Ilya S. Molchanov, Hall, Peter

Publication date: 10 November 2003

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1056562467

zbMATH Keywords

changepointspatial statisticshypothesis testnonparametric estimationsearch methodsrecursivefault line

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Asymptotic properties of nonparametric inference (62G20) Sequential statistical design (62L05) Sequential estimation (62L12)

Related Items (9)

Jump-preserving surface reconstruction from noisy data ⋮ Change-point estimation under adaptive sampling ⋮ A change-point problem in relative error-based regression ⋮ Unnamed Item ⋮ Spatially-adaptive sensing in nonparametric regression ⋮ Adaptive sensing performance lower bounds for sparse signal detection and support estimation ⋮ A companion for the Kiefer-Wolfowitz-Blum stochastic approximation algorithm ⋮ Quantifying Uncertainties on Excursion Sets Under a Gaussian Random Field Prior ⋮ Asymptotics for change-point models under varying degrees of mis-specification

Cites Work

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• Two-stage change-point estimators in smooth regression models
• Approximating a line thrown at random onto a grid
• On the estimation of jump points in smooth curves
• Tracking a smooth fault line in a response surface.
• Asymptotical minimax recovery of sets with smooth boundaries
• Common Structure of Smoothing Techniques in Statistics
• Jump and sharp cusp detection by wavelets

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