An Inscribing Model for Random Polytopes
For convex bodies K with boundary in ℝ d , we explore random polytopes with vertices chosen along the boundary of K . In particular, we determine asymptotic properties of the volume of these random polytopes. We provide results concerning the variance and higher moments of this functional, as well a...
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| Veröffentlicht in: | Discrete & computational geometry 2008-03, Vol.39 (1-3), p.469-499 |
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| container_title | Discrete & computational geometry |
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| creator | Richardson, Ross M. Vu, Van H. Wu, Lei |
| description | For convex bodies
K
with
boundary in ℝ
d
, we explore random polytopes with vertices chosen along the boundary of
K
. In particular, we determine asymptotic properties of the volume of these random polytopes. We provide results concerning the variance and higher moments of this functional, as well as an analogous central limit theorem. |
| doi_str_mv | 10.1007/s00454-007-9012-3 |
| format | Article |
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K
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d
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| fulltext | fulltext |
| identifier | ISSN: 0179-5376 |
| ispartof | Discrete & computational geometry, 2008-03, Vol.39 (1-3), p.469-499 |
| issn | 0179-5376 1432-0444 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_743611236 |
| source | SpringerNature Journals |
| subjects | Combinatorics Computational Mathematics and Numerical Analysis Geometry Mathematics Mathematics and Statistics Theorems |
| title | An Inscribing Model for Random Polytopes |
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