Skip to main content
Article thumbnail
Location of Repository

Hsien-Kuei Hwang2, Tsung-Hsi Tsai3Institute of Statistical Science

By Max Ima, In H Yper, Cu Bes, Zhi-dong Baicollege Mathematics and Statistics Northeast


Abstract We derive a Berry-Esseen bound, essentially of the order of the square of the standard deviation,for the number of maxima in random samples from (0, 1)d. The bound is, although not optimal, thefirst of its kind for the number of maxima in dimensions higher than two. The proof uses Poisson processes and Stein's method. We also propose a new method for computing the variance and derivean asymptotic expansion. The methods of proof we propose are of some generality and applicable to other regions such as d-dimensional simplex. 1 Introduction Maxima. A point p in Rd is said to dominate another point q if the difference p-q has only nonnegativecoordinates. We writ

Year: 2004
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.