Some weak limit laws for the diameter of random point sets in bounded regions

• Main Author: Lao, Wei (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: KIT Scientific Publishing 2010
• Subjects: limit distribution; random point set; maximum distance; Poisson approximation; geometric extreme value theory
• Online Access: DOAB: download the publication; DOAB: description of the publication

This book establishes several weak limit laws for problems in geometric extreme value theory. We find the limit law of the maximum Euclidean distance of i.i.d. points, as the number of points tends to infinity, under certain assumptions on the underlying distribution. One of the methods is also appl...