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On the area and perimeter of a random convex hull in a bounded convex set
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  • Published: August 1998

On the area and perimeter of a random convex hull in a bounded convex set

  • H. Bräker1 &
  • T. Hsing2 

Probability Theory and Related Fields volume 111, pages 517–550 (1998)Cite this article

  • 158 Accesses

  • 20 Citations

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Abstract.

Suppose K is a compact convex set in ℝ2 and X i , 1≤i≤n, is a random sample of points in the interior of K. Under general assumptions on K and the distribution of the X i we study the asymptotic properties of certain statistics of the convex hull of the sample.

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Authors and Affiliations

  1. Department of Statistics, University of Bern, CH-3012 Bern, Switzerland e-mail:mathtl@math.nus.edu.sg, , , , , , CH

    H. Bräker

  2. Department of Statistics, National University of Singapore, Singapore 119260, , , , , , SG

    T. Hsing

Authors
  1. H. Bräker
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  2. T. Hsing
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Received: 24 July 1996/Revised version: 24 February 1998

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Bräker, H., Hsing, T. On the area and perimeter of a random convex hull in a bounded convex set. Probab Theory Relat Fields 111, 517–550 (1998). https://doi.org/10.1007/s004400050176

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  • Issue Date: August 1998

  • DOI: https://doi.org/10.1007/s004400050176

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  • Mathematics Subject Classification (1991): 60D05
  • 60F05
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