Some weak limit laws for the diameter of random point sets in bounded regions
Item
Title (Dublin Core)
Some weak limit laws for the diameter of random point sets in bounded regions
Creator (Dublin Core)
Lao, Wei
Date (Dublin Core)
2010
Publisher (Dublin Core)
KIT Scientific Publishing
Description (Dublin Core)
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.
Subject (Dublin Core)
Mathematics
Language (Dublin Core)
English
isbn (Bibliographic Ontology)
9783866445703
