Publication: The number of two-dimensional maxima
The number of two-dimensional maxima
Date
Date
Date
2001
Journal Article
Published version
Citations
Barbour, A. D., & Xia, A. (2001). The number of two-dimensional maxima. Advances in Applied Probability, 33(4), 727–750. https://doi.org/10.1239/aap/1011994025
Abstract
Abstract
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.
Additional indexing
Creators (Authors)
- Barbour, Andrew D
- Xia, A
Volume
Volume
Volume
33
Number
Number
Number
4
Page range/Item number
Page range/Item number
Page range/Item number
727
Page end
Page end
Page end
750
Item Type
Item Type
Item Type
Journal Article
In collections
Keywords
Maximal points, Stein's method, record values, Johnson-Mehl process
Language
Language
Language
English
Publication date
Publication date
Publication date
2001
Date available
Date available
Date available
2010-04-07
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
0001-8678
OA Status
OA Status
OA Status
Green
Publisher DOI
Citations
Barbour, A. D., & Xia, A. (2001). The number of two-dimensional maxima. Advances in Applied Probability, 33(4), 727–750. https://doi.org/10.1239/aap/1011994025
Green Open Access
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