Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/105197
Title: Limit theorems for the number of maxima in random samples from planar regions
Authors: Bai, Z.-D. 
Hwang, H.-K.
Liang, W.-Q.
Tsai, T.-H.
Keywords: Central limit theorems
Convex polygons
Maximal points
Multicriterial optimization
Poisson approximations
Issue Date: 22-Jan-2001
Citation: Bai, Z.-D.,Hwang, H.-K.,Liang, W.-Q.,Tsai, T.-H. (2001-01-22). Limit theorems for the number of maxima in random samples from planar regions. Electronic Journal of Probability 6 : 1-41. ScholarBank@NUS Repository.
Abstract: We prove that the number of maximal points in a random sample taken uniformly and independently from a convex polygon is asymptotically normal in the sense of convergence in distribution. Many new results for other planar regions are also derived. In particular, precise Poisson approximation results are given for the number of maxima in regions bounded above by a nondecreasing curve.
Source Title: Electronic Journal of Probability
URI: http://scholarbank.nus.edu.sg/handle/10635/105197
ISSN: 10836489
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

66
checked on Sep 22, 2022

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.