On distributions of random closed sets and expected convex hulls

Ilya S. Molchanov

Statistics & Probability Letters, 1993, vol. 17, issue 4, 253-257

Abstract: 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.

Keywords: Convex; hull; extreme; order; statistic; order; statistics; random; sets (search for similar items in EconPapers)
Date: 1993
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0167-7152(93)90199-S
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:17:y:1993:i:4:p:253-257

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().