Random convex hulls: A variance revisited

Advances in Applied Probability

Volumn 36, Issue 4, 2004, Pages 981-986

  Finch, Steven ^a   Hueter, Irene ^b  

^a Clay Mathematics Institute   (United States)

^b CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

Convex hull; Random point set; Random polygon; Variance

Indexed keywords

ASYMPTOTIC STABILITY; GEOMETRY; INTEGRAL EQUATIONS; NORMAL DISTRIBUTION; STATISTICAL METHODS;

CONVEX HULL; RANDOM POINT SET; RANDOM POLYGON; VARIANCE;

RANDOM PROCESSES;

EID: 13344285317     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1103662954     Document Type: Article

References (7)

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2. Buchta, C. (2002). An identity relating moments of functionals of convex hulls. Unpublished manuscript.
3. Efron, B. (1965). The convex hull of a random set of points. Biometrika 52, 331-343.
4. Groeneboom, P. (1988). Limit theorems for convex hulls. Prob. Theory Relat. Fields 79, 327-368.
5. Hsing, T. (1994). On the asymptotic distribution of the area outside a random convex hull in a disk. Ann. Appl. Prob. 4, 478-493.
6. Hueter, I. (1994). The convex hull of a normal sample. Adv. Appl. Prob. 26, 855-875.
7. Rényi, A. And Sulanke, R. (1963). Über die konvexe Hülle von n zufällig gewählten Punkten. Z. Wahrscheinlichkeitsth. 2 75-84.