Surface area estimation under convexity type assumptions

DOI10.1080/10485250902971732zbMath1167.62077OpenAlexW2095901857WikidataQ60540700 ScholiaQ60540700MaRDI QIDQ3391788

Alberto Rodríguez Casal, Beatriz Pateiro-López

Publication date: 13 August 2009

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

Full work available at URL: https://doi.org/10.1080/10485250902971732

zbMATH Keywords

Minkowski contentsurface area estimation\(r\)-convexitynonparametric set estimation

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Geometric probability and stochastic geometry (60D05) Inference from stochastic processes (62M99)

Related Items (4)

Estimation of surface area ⋮ Universally consistent estimation of the reach ⋮ Nonparametric estimation of surface integrals on level sets ⋮ Minimax Estimation of the Volume of a Set Under the Rolling Ball Condition

Cites Work

• Unnamed Item
• Set estimation under convexity type assumptions
• On the area and perimeter of a random convex hull in a bounded convex set
• A nonparametric approach to the estimation of lengths and surface areas
• Length and surface area estimation under smoothness restrictions
• Rates of convergence for random approximations of convex sets

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