Estimation of surface area

DOI10.1214/22-EJS2031zbMath1493.62149arXiv2007.08484OpenAlexW4226325164MaRDI QIDQ2154968

Catherine Aaron, Alejandro Cholaquidis, Ricardo Fraiman

Publication date: 15 July 2022

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

Full work available at URL: https://arxiv.org/abs/2007.08484

zbMATH Keywords

Crofton's formulasurface estimationDevroye-Wise estimator\(\alpha\)-convex hull

Mathematics Subject Classification ID

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

Cites Work

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• Local convex hull support and boundary estimation
• Minimax theory of image reconstruction
• Asymptotic theory for statistics of the Poisson-Voronoi approximation
• Set estimation under convexity type assumptions
• On the area and perimeter of a random convex hull in a bounded convex set
• Some conjectures on intrinsic volumes of Riemannian manifolds and Alexandrov spaces
• Polynomial volume estimation and its applications
• Detection of low dimensionality and data denoising via set estimation techniques
• Estimation of smooth functionals in image models
• On boundary detection
• On estimating the perimeter using the alpha-shape
• Nonparametric estimation of surface integrals
• Finding the homology of submanifolds with high confidence from random samples
• A nonparametric approach to the estimation of lengths and surface areas
• On Statistical Properties of Sets Fulfilling Rolling-Type Conditions
• A geometrically motivated parametric model in manifold estimation
• Curvature Measures
• Surface area estimation under convexity type assumptions
• Length and surface area estimation under smoothness restrictions
• On the shape of a set of points in the plane
• Detection of Abnormal Behavior Via Nonparametric Estimation of the Support
• On boundary estimation
• Level sets and drift estimation for reflected Brownian motion with drift
• A new selection criterion for statistical home range estimation
• Minimax Estimation of the Volume of a Set Under the Rolling Ball Condition
• Set Estimation from Reflected Brownian Motion
• Towards a universally consistent estimator of the Minkowski content