Nonparametric confidence regions for level sets: statistical properties and geometry

DOI10.1214/19-EJS1543zbMath1418.62144arXiv1903.01430OpenAlexW2920242897MaRDI QIDQ2414485

Wolfgang Polonik, Wanli Qiao

Publication date: 17 May 2019

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.01430

zbMATH Keywords

extreme value distributionkernel density estimationlevel setsintegral curvesnonparametric surface estimation

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric tolerance and confidence regions (62G15)

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Solution manifold and its statistical applications ⋮ Cube root weak convergence of empirical estimators of a density level set ⋮ Boundary estimation from point clouds: algorithms, guarantees and applications ⋮ Moving Up the Cluster Tree with the Gradient Flow ⋮ Optimal subgroup selection ⋮ Nonparametric estimation of surface integrals on level sets ⋮ Extremes of locally stationary Gaussian and chi fields on manifolds ⋮ Asymptotics and optimal bandwidth for nonparametric estimation of density level sets ⋮ Asymptotic confidence regions for density ridges

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