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On the mean width of random polytopes
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  • Published: June 1989

On the mean width of random polytopes

  • Josef S. Müller1 

Probability Theory and Related Fields volume 82, pages 33–37 (1989)Cite this article

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Summary

On the boundary of a d-dimensional convex body a probability distribution with a positive, continuous density function g is given. The convex hull of n points chosen independently according to g is a random polytope. The asymptotic behaviour (n→∞) of the expected value of the mean width of the random polytope is determined.

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References

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Authors and Affiliations

  1. Institut für Analysis, Technische Mathematik und Versicherungsmathematik, TU Wien, Wiedner Hauptstr. 8-10, A-1040, Wien, Austria

    Josef S. Müller

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  1. Josef S. Müller
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Müller, J.S. On the mean width of random polytopes. Probab. Th. Rel. Fields 82, 33–37 (1989). https://doi.org/10.1007/BF00340011

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  • Received: 18 August 1988

  • Issue Date: June 1989

  • DOI: https://doi.org/10.1007/BF00340011

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Keywords

  • Probability Distribution
  • Density Function
  • Hull
  • Stochastic Process
  • Asymptotic Behaviour
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