On random splitting of the interval

Javiera Barrera and Thierry Huillet

Statistics & Probability Letters, 2004, vol. 66, issue 3, 237-250

Abstract: We study the colonizing process of space by some populations which can be verbally described as follows: suppose a first incoming species occupies a random fraction of the available unit space. The forthcoming species takes an independent random fraction of the remaining space. There are n species and so there is a fraction of space occupied by no species. This model constitutes an approximation to the celebrated GEM interval partition. Essentially using moments, we study some statistical features of the induced partition structure of space.

Keywords: Random; splitting; of; the; interval; Ranking; Size-biased; sampling; Stick; breaking; Partition; structure (search for similar items in EconPapers)
Date: 2004
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(03)00327-4
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:66:y:2004:i:3:p:237-250

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 ().