Dynamical circle covering with homogeneous Poisson updating

Johan Jonasson

Statistics & Probability Letters, 2008, vol. 78, issue 15, 2400-2403

Abstract: We consider a dynamical variant of Dvoretzky's classical covering problem of the unit circumference circle, where the centers of the arcs are updated according to independent Poisson processes of unit intensity. This dynamical model was introduced (in greater generality) in Jonasson and Steif [Jonasson, J., Steif, J., 2008. Dynamical models for circle covering: Brownian motion and Poisson updating. Ann. Probab. 36, 739-764], where is was shown that when the length of the n'th arc is ln and we write , then lim infnn(logn)un

Date: 2008
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(08)00139-9
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:78:y:2008:i:15:p:2400-2403

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 ().