Central limit theorems for random polytopes in a smooth convex set
| dc.creator | Vu, Van | |
| dc.date | 2005-03-24 | |
| dc.date.accessioned | 2026-07-07T05:18:24Z | |
| dc.date.available | 2026-07-07T05:18:24Z | |
| dc.description | Let $K$ be a smooth convex set with volume one in $\BBR^d$. Choose $n$ random points in $K$ independently according to the uniform distribution. The convex hull of these points, denoted by $K_n$, is called a {\it random polytope}. We prove that several key functionals of $K_n$ satisfy the central limit theorem as $n$ tends to infinity. | |
| dc.description | 23 pages, no figure | |
| dc.identifier | https://arxiv.org/abs/math/0503559 | |
| dc.identifier | http://arxiv.org/abs/math/0503559 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74648 | |
| dc.subject | Probability | |
| dc.subject | Combinatorics | |
| dc.subject | 60D05, 52A22, 42A61 | |
| dc.title | Central limit theorems for random polytopes in a smooth convex set | |
| dc.type | text |