TY - BOOK ID - 100636600 TI - Some weak limit laws for the diameter of random point sets in bounded regions PY - 2010 SN - 1000019800 3866445709 PB - KIT Scientific Publishing DB - UniCat KW - limit distribution KW - random point set KW - maximum distance KW - Poisson approximation KW - geometric extreme value theory UR - https://www.unicat.be/uniCat?func=search&query=sysid:100636600 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. ER -