Central limit theorem for the volume of random polytopes with vertices on the boundary
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Publication:1650799
DOI10.1007/s00454-017-9862-2zbMath1400.52005OpenAlexW2587174486MaRDI QIDQ1650799
Publication date: 13 July 2018
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00454-017-9862-2
Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Related Items (8)
Random inscribed polytopes in projective geometries ⋮ Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes ⋮ Volume approximation of strongly \(\mathbb{C} \)-convex domains by random polyhedra ⋮ Facets of spherical random polytopes ⋮ Limit theorems for the volumes of small codimensional random sections of \(\ell_{p}^{n}\)-balls ⋮ Asymptotic normality for random polytopes in non-Euclidean geometries ⋮ Limit theorems for random polytopes with vertices on convex surfaces ⋮ Thin-shell theory for rotationally invariant random simplices
Cites Work
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- Normal approximation on Poisson spaces: Mehler's formula, second order Poincaré inequalities and stabilization
- Stochastical approximation of convex bodies
- Sharp concentration of random polytopes
- Central limit theorems for random polytopes in a smooth convex set
- Random polytopes and the Efron-Stein jackknife inequality.
- New Berry-Esseen bounds for functionals of binomial point processes
- Surface bodies and \(p\)-affine surface area
- Random inscribing polytopes
- An inscribing model for random polytopes
- Central limit theorems for random polytopes
- Random points on the boundary of smooth convex bodies
- Intrinsic volumes of random polytopes with vertices on the boundary of a convex body
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