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

Probability Theory and Related Fields

Volumn 111, Issue 4, 1998, Pages 517-550

  Braker H ^a   Hsing, T ^b  

^a UNIVERSITY OF BERN   (Switzerland)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039346828     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050176     Document Type: Article

References (12)

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6. Groeneboom, P.: Limit theorems for convex hulls. Probab. Theory Related Fields 79, 327-368 (1988)
7. Hsing, T.: On the asymptotic distribution of the area outside a random convex hull in a disk. Ann. Appl. Prob. 4, 478-493 (1994)
8. Kallenberg, O.: Random Measures. Academic, New York (1983)
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11. Rényi, A., Sulanke, R.: Über die konvexe Hlle von n zufällig gewählten Punkten II. Z. Wahrsch. Verw. Gebiete 3, 138-147 (1964)
12. Santaló, L.A.: Integral Geometry and Geometric Probability, Addison-Wesley Publishing Company, Inc (1976)