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Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21995

Barbour, A D; Xia, A (2001). The number of two-dimensional maxima. Advances in Applied Probability, 33(4):727-750.

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Abstract

Let n points be placed uniformly at random in a subset A of the plane. A point is said to be maximal in the configuration if no other point is larger in both coordinates. We show that, for large n and for many sets A, the number of maximal points is approximately normally distributed. The argument uses Stein's method, and is also applicable in higher dimensions.

Citations

12 citations in Web of Science®
10 citations in Scopus®
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18 downloads since deposited on 07 Apr 2010
8 downloads since 12 months

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Maximal points; Stein's method; record values; Johnson-Mehl process
Language:English
Date:2001
Deposited On:07 Apr 2010 12:26
Last Modified:05 Apr 2016 13:25
Publisher:Applied Probability Trust
ISSN:0001-8678
Publisher DOI:10.1239/aap/1011994025

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