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Conference papers
Random Inscribing Polytopes
Abstract : For convex bodies $K$ with $\mathcal{C}^2$ boundary in $\mathbb{R}^d$, we provide results on the volume of random polytopes with vertices chosen along the boundary of $K$ which we call $\textit{random inscribing polytopes}$. In particular, we prove results concerning the variance and higher moments of the volume, as well as show that the random inscribing polytopes generated by the Poisson process satisfy central limit theorem.
Cited literature [15 references]
https://hal.inria.fr/hal-01184448
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Submitted on : Friday, August 14, 2015 - 2:59:26 PM
Last modification on : Wednesday, August 7, 2019 - 12:18:06 PM
Long-term archiving on: : Sunday, November 15, 2015 - 11:14:02 AM
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Friday, August 14, 2015 - 2:59:26 PM
Last modification on : Wednesday, August 7, 2019 - 12:18:06 PM
Long-term archiving on: : Sunday, November 15, 2015 - 11:14:02 AM
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