Nonparametric estimation of surface integrals
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Publication:2429929
DOI10.1214/10-AOS837zbMath1209.62059arXiv1103.1492MaRDI QIDQ2429929
Raúl Jiménez, Joseph E. Yukich
Publication date: 5 April 2011
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.1492
Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Geometric probability and stochastic geometry (60D05)
Related Items (12)
On Statistical Properties of Sets Fulfilling Rolling-Type Conditions ⋮ Polynomial volume estimation and its applications ⋮ Estimation of surface area ⋮ A geometrically motivated parametric model in manifold estimation ⋮ Nonparametric detection for univariate and functional data ⋮ Boundary density and Voronoi set estimation for irregular sets ⋮ Nonparametric estimation of surface integrals on level sets ⋮ Normal approximation for stabilizing functionals ⋮ Surface order scaling in stochastic geometry ⋮ Asymptotics and optimal bandwidth for nonparametric estimation of density level sets ⋮ Estimating perimeter using graph cuts ⋮ Minimax Estimation of the Volume of a Set Under the Rolling Ball Condition
Cites Work
- Unnamed Item
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- Gaussian limits for generalized spacings
- Lectures on random Voronoi tessellations
- Smooth surface reconstruction via natural neighbour interpolation of distance functions
- Gaussian limits for random measures in geometric probability
- Mathematical theory of medial axis transform
- Weak laws of large numbers in geometric probability
- The statistical theory of shape
- Gaussian limits for random geometric measures
- Variance asymptotics and central limit theorems for generalized growth processes with applications to convex hulls and maximal points
- Laws of large numbers in stochastic geometry with statistical applications
- A nonparametric approach to the estimation of lengths and surface areas
- Length and surface area estimation under smoothness restrictions
- An Introduction to the Theory of Point Processes
- On the size of a random sphere of influence graph
- Nonparametric estimation of boundary measures and related functionals: asymptotic results
- Towards a universally consistent estimator of the Minkowski content
- An Introduction to the Theory of Point Processes
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