ON DISTRIBUTIONS OF RANDOM CLOSED-SETS AND EXPECTED CONVEX HULLS

被引：1
|
作者：
MOLCHANOV, IS [1 ]
机构：
[1] KIEV TECHNOL FOOD IND INST,CHAIR MATH,KIEV 252017,UKRAINE
来源：
STATISTICS & PROBABILITY LETTERS | 1993年 / 17卷 / 04期
关键词：
CONVEX HULL; EXTREME ORDER STATISTIC; ORDER STATISTICS; RANDOM SETS;
D O I：
10.1016/0167-7152(93)90199-S
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：
The problem posed by Vitale (1987, Acta Appl. Math. 9) on determination of random sets distributions by expectations of order statistics is discussed. It is proved that the distribution of a random convex closed set can be determined by means of the nested sequence of the expected convex hulls of support functions, defined by independent copies of the random set in question.
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页码：253 / 257
页数：5
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