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Title: Berry-Esseen bounds for the number of maxima in planar regions
Authors: Bai, Z.-D. 
Hwang, H.-K.
Tsai, T.-H.
Issue Date: 10-Jun-2003
Citation: Bai, Z.-D.,Hwang, H.-K.,Tsai, T.-H. (2003-06-10). Berry-Esseen bounds for the number of maxima in planar regions. Electronic Journal of Probability 8 : 1-26. ScholarBank@NUS Repository.
Abstract: We derive the optimal convergence rate O(n-1/4) in the central limit theorem for the number of maxima in random samples chosen uniformly at random from the right triangle of the shape right triangle. A local limit theorem with rate is also derived. The result is then applied to the number of maxima in general planar regions (upper-bounded by some smooth decreasing curves) for which a near-optimal convergence rate to the normal distribution is established.
Source Title: Electronic Journal of Probability
ISSN: 10836489
Appears in Collections:Staff Publications

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