Limit laws for the diameter of a random point set

被引：14

作者：

Appel, MJB

Najim, CA

Russo, RP

机构：

[1] MGIC, Capital Markets Operat, Milwaukee, WI 53202 USA

[2] Univ Iowa, Dept Stat & Actuarial Sci, Iowa City, IA 52242 USA

来源：

ADVANCES IN APPLIED PROBABILITY | 2002年 / 34卷 / 01期

关键词：

maximum distance; diameter; extreme value distribution; geometric probability;

D O I：

10.1239/aap/1019160946

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Let U-1, U-2.... be a sequence of i.i.d. random vectors distributed uniformly in a compact plane region A of unit area. Sufficient conditions on the geometry of A are provided under which the Euclidean diameter D-n of the first n of the points converges weakly upon suitable rescaling.

引用

页码：1 / 10

页数：10

共 6 条

[1] The minimum vertex degree of a graph on uniform points in [0,1](d) [J].