Document Zbl 0407.60009

Random polytopes in a convex body. (English) Zbl 0407.60009

Z. Wahrscheinlichkeitstheor. Verw. Geb. 52, 69-73 (1980).

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MSC:

60D05	Geometric probability and stochastic geometry
52A22	Random convex sets and integral geometry (aspects of convex geometry)

Keywords:

Asymptotic Expression; Random Polytopes

Citations:

Zbl 0126.341

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References:

[1]	Baddeley, A., A fourth note on recent research in geometrical probability, Advances Appl. Probability, 9, 824-860 (1977) · Zbl 0387.60019
[2]	Bonnesen, T.; Fenchel, W., Theorie der konvexen Körper (1934), Berlin: Springer, Berlin · JFM 60.0673.01
[3]	Efron, B., The convex hull of a random set of points, Biometrika, 52, 331-343 (1965) · Zbl 0138.41301
[4]	Rényi, A.; Sulanke, R., Über die konvexe Hülle von n zufällig gewählten Punkten, Z. Wahrscheinlichkeitstheorie verw. Geb., 2, 75-84 (1963) · Zbl 0118.13701
[5]	Rényi, A.; Sulanke, R., Über die konvexe Hülle von n zufällig gewählten Punkten. II, Z. Wahrscheinlichkeitstheorie verw. Geb., 3, 138-147 (1964) · Zbl 0126.34103
[6]	Santaló, L. A.; Rota, G.-C., Integral geometry and geometric probability, Encyclopedia of Mathematics and its applications, vol. 1 (1976), Reading, Mass.: Addison-Wesley, Reading, Mass. · Zbl 0342.53049
[7]	Whittaker, E. T.; Watson, G. N., A course of modern analysis (1952), Cambridge: University Press, Cambridge
[8]	Wieacker, J.A.: Einige Probleme der polyedrischen Approximation. Diplomarbeit, Freiburg i. Br. 1978

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