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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
ISSN: 10836489
Appears in Collections:Staff Publications

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