Random polytopes and the Efron--Stein jackknife inequality

97 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Set estimation: another bridge between statistics and geometry (2009, background): “See also Dümbgen and Walther (1996) and Reitzner (2003) for more recent references.”
Learning Sets with Separating Kernels (2012, background): “If X ρ is convex, a natural estimator is the convex hull of the data X n = conv { x 1 , . . . , x n } , for which convergence rates can be derived with respect to the Hausdorff distance [30, 51].”
Random points and lattice points in convex bodies (2008, unknown): “Reitzner [50].”
Central limit theorems for random polytopes (2005, background): “Precisely this was proved in Section 12 in [21]: There is a constant cd depending on the dimension such that”