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|Title:||Berry-Esseen bounds for the number of maxima in planar regions||Authors:||Bai, Z.-D.
|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||URI:||http://scholarbank.nus.edu.sg/handle/10635/105042||ISSN:||10836489|
|Appears in Collections:||Staff Publications|
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