The convex hull of a random sample in

DOI10.1080/15326348708807044zbMath0621.60014OpenAlexW2030895159MaRDI QIDQ3757051

Edward Mulrow, Richard A. Davis, Sidney I. Resnick

Publication date: 1987

Published in: Communications in Statistics. Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326348708807044

zbMATH Keywords

convex hullPoisson random measurenumber of verticesregularly varyingvague convergence of measures

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (13)

Limit distributions for linear programming time series estimators ⋮ Unbiased estimation of the volume of a convex body ⋮ Asymptotic behavior of samples from general multivariate distributions ⋮ Defining extremes and trimming by minimum covering sets ⋮ Angles of random simplices and face numbers of random polytopes ⋮ Random convex hulls and extreme value statistics ⋮ On regular variation of probability densities ⋮ Multivariate stability and strong limiting behaviour of intermediate order statistics ⋮ An alternative to the \(m\) out of \(n\) bootstrap ⋮ Bootstrapping convex hulls ⋮ On the oscillation of the expected number of extreme points of a random set ⋮ Cones generated by random points on half-spheres and convex hulls of Poisson point processes ⋮ The convex hull of a dependent vector-valued process

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