TY  - BOOK
AU  - Lao, Wei
AB  - 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.
DO  - 10.5445/KSP/1000019800
ID  - OAPEN ID: 34864
KW  - limit distribution
KW  - random point set
KW  - maximum distance
KW  - Poisson approximation
KW  - geometric extreme value theory
L1  - https://www.ksp.kit.edu/9783866445703
LA  - English
LK  - https://directory.doabooks.org/handle/20.500.12854/59704
PB  - KIT Scientific Publishing
PY  - 2010
SN  - 9783866445703
TI  - Some weak limit laws for the diameter of random point sets in bounded regionsnull
ER  - 
