On the area and perimeter of a random convex hull in a bounded convex set

被引：19

作者：

Braker, H ^{[1
]}

Hsing, T

机构：

[1] Univ Bern, Dept Stat, CH-3012 Bern, Switzerland

[2] Natl Univ Singapore, Dept Stat, Singapore 119260, Singapore

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1998年 / 111卷 / 04期

关键词：

Mathematics Subject Classification (1991): 60D05; 60F05;

D O I：

10.1007/s004400050176

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：

Suppose K is a compact convex set in IR2 and X-i, 1 less than or equal to i less than or equal to n, is a random sample of points in the interior of K. Under general assumptions on K and the distribution of the X-i we study the asymptotic properties of certain statistics of the convex hull of the sample.

引用

页码：517 / 550

页数：34

共 12 条

[1]

BRAKER H, 1995, IN PRESS ADV APPL PR

[2] ON LIMITING LAWS FOR THE CONVEX-HULL OF A SAMPLE [J].