The expected volume of a random polytope in a ball

For any convex body K in d‐dimensional Euclidean space Ed(d≥2) and for integers n and i, n ≥ d + 1,1 ≤ i ≤ n, let V(d) n‐ii(K) be the expected volume of the convex hull Hn‐i, i of n independent random points, of which n‐i are uniformly distributed in the interior, the other i on the boundary of K. W...

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Detalles Bibliográficos
Autor principal: Affentranger, F.
Formato: JOUR
Materias:
Crofton's theorem on mean values
expected volume of a random polytope
geometric probabilities
inscribed random polytopes
integral geometry
set of uniform random points
stochastic geometry
Sylvester's problem
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00222720_v151_n3_p277_Affentranger
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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