The convex hull of a normal sample

DOI10.2307/1427894zbMath0815.60013OpenAlexW2090938461MaRDI QIDQ4322083

Irene Hueter

Publication date: 30 June 1995

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1427894

zbMATH Keywords

martingalesPoisson approximationPoisson point processrandom convex hullmartingale techniqueMarkovian jump process

Mathematics Subject Classification ID

Related Items (14)

Expected size of random Tukey layers and convex layers ⋮ On joint probability distribution of the number of vertices and area of the convex hulls generated by a Poisson point process ⋮ Limit theorems for the convex hull of random points in higher dimensions ⋮ Central limit theorems for Gaussian polytopes ⋮ Gaussian polytopes: a cumulant-based approach ⋮ On the polygon generated by \(n\) random points on a circle ⋮ Set estimation and nonparametric detection ⋮ Gaussian polytopes: variances and limit theorems ⋮ Properties of convex hull generated by inhomogeneous Poisson point process ⋮ Correction to: ``Central limit theorems for Gaussian polytopes ⋮ Random convex hulls: a variance revisited ⋮ A fast algorithm to sample the number of vertexes and the area of the random convex hull on the unit square ⋮ Approximation of convex sets by polytopes ⋮ On Limit Theorem for the Number of Vertices of the Convex Hulls in a Unit Disk

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