On the variance of the number of extreme points of a random convex hull

✍ Scribed by Bruno Massé

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 100 KB
• Volume: 44
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(98)00298-3

✦ Synopsis

By an appropriate choice of the underlying law, the variance of the number of extreme points of the convex hull of n i.i.d. random points in the plane can be inÿnitely often as close to n 2 as we want (as n grows to inÿnity).