Concentration and moderate deviations for Poisson polytopes and polyhedra
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Publication:1708985
DOI10.3150/17-BEJ946zbMath1429.60020arXiv1508.04994MaRDI QIDQ1708985
Publication date: 27 March 2018
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.04994
cumulantsconvex hullsconcentration inequalitiesrandom polytopesmoderate deviation principlesdeviation probabilitiesPoisson hyperplanesPoisson-Voronoi mosaicszero cells
Related Items (8)
The method of cumulants for the normal approximation ⋮ Gaussian polytopes: a cumulant-based approach ⋮ Limit theory for the first layers of the random convex hull peeling in the unit ball ⋮ Normal approximation for stabilizing functionals ⋮ Concentration on Poisson spaces via modified \(\Phi\)-Sobolev inequalities ⋮ Convex hulls of perturbed random point sets ⋮ Limit theorems for random simplices in high dimensions ⋮ The volume of simplices in high-dimensional Poisson-Delaunay tessellations
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- [https://portal.mardi4nfdi.de/wiki/Publication:5728818 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten]
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