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- W4294255533 abstract "We consider the convex hull of a finite sample of i.i.d. points uniformly distributed in a convex body in $R^d$, $dgeq 2$. We prove an exponential deviation inequality, which leads to rate optimal upper bounds on all the moments of the missing volume of the convex hull, uniformly over all convex bodies of $R^d$, with no restriction on their volume, location in the space and smoothness of the boundary." @default.
- W4294255533 created "2022-09-02" @default.
- W4294255533 creator A5005819329 @default.
- W4294255533 date "2013-11-12" @default.
- W4294255533 modified "2023-10-17" @default.
- W4294255533 title "A universal deviation inequality for random polytopes" @default.
- W4294255533 doi "https://doi.org/10.48550/arxiv.1311.2902" @default.
- W4294255533 hasPublicationYear "2013" @default.
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