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

Lao, Wei

2010

KIT Scientific Publishing

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 applicable for some other functionals, such as the maximum area or the maximum perimeter of triangles formed by point triplets.

Mathematics

English

9783866445703