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math.ST2013★ 8 cited
A universal deviation inequality for random polytopes
Victor-Emmanuel Brunel
We consider the convex hull of a finite sample of i.i.d. points uniformly distributed in a convex body in , . We prove an exponential deviation inequality, which lea…
math.ST2013★ 2 cited
Adaptive estimation of convex and polytopal support
Victor-Emmanuel Brunel
We estimate the support of a uniform density, when it is assumed to be a convex polytope or, more generally, a convex body in . In the polytopal case, we construct an estimat…