On the asymptotic distribution of the area outside a random convex hull in a disk
type: Item
instance of: scholarly article
title: On the asymptotic distribution of the area outside a random convex hull in a disk
zbMATH Open document ID: 0806.60004
author: Tailen Hsing
published in: The Annals of Applied Probability
publication date: 1994-10-13T00:00:00Z
review text: The paper studies statistical properties of the convex hull formed by \(n\) uniformly distributed points in a disk in \(\mathbb{R}^ 2\). The main results are that the asymptotic variance of the area outside this convex hull is of the order \(n^{-5/3}\), and that the asymptotic distribution of this area is normal.
Mathematics Subject Classification ID: 60D05
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 639115
zbMATH Keywords: random set
zbMATH Keywords: random convex hull
zbMATH Keywords: geometric probability
zbMATH Keywords: central limit theorem
zbMATH Keywords: asymptotic variance
zbMATH Keywords: asymptotic distribution
reviewed by: Athanase Papadopoulos
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aoap/1177005069
OpenAlex ID: W2067103032
DOI: 10.1214/AOAP/1177005069
description: scientific article; zbMATH DE number 639115