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On the variance of the number of extreme points of a random convex hull

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  • Massé, Bruno

Abstract

By an appropriate choice of the underlying law, the variance of the number of extreme points of the convex hull of n i.i.d. random points in the plane can be infinitely often as close to n2 as we want (as n grows to infinity).

Suggested Citation

  • Massé, Bruno, 1999. "On the variance of the number of extreme points of a random convex hull," Statistics & Probability Letters, Elsevier, vol. 44(2), pages 123-130, August.
    • Handle: RePEc:eee:stapro:v:44:y:1999:i:2:p:123-130
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    References listed on IDEAS

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    1. Devroye, Luc, 1991. "On the oscillation of the expected number of extreme points of a random set," Statistics & Probability Letters, Elsevier, vol. 11(4), pages 281-286, April.
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