On the variance of random polytopes

[1]  Imre B'ar'any,et al.  Poisson polytopes , 2010, 1010.3582.

[2]  Imre Bárány,et al.  Random points and lattice points in convex bodies , 2008 .

[3]  J. Yukich,et al.  Variance asymptotics and central limit theorems for generalized growth processes with applications to convex hulls and maximal points , 2007, math/0702553.

[4]  V. H. Vu.  SHARP CONCENTRATION OF RANDOM POLYTOPES , 2008 .

[5]  Matthias Reitzner,et al.  Central limit theorems for random polytopes , 2005 .

[6]  Matthias Reitzner,et al.  The combinatorial structure of random polytopes , 2005 .

[7]  Christian Buchta,et al.  An Identity Relating Moments of Functionals of Convex Hulls , 2005, Discret. Comput. Geom..

[8]  Matthias Reitzner,et al.  Random polytopes and the Efron--Stein jackknife inequality , 2003 .

[9]  FEW POINTS TO GENERATE A RANDOM POLYTOPE , 1997 .

[10]  Miklós Simonovits,et al.  Isoperimetric problems for convex bodies and a localization lemma , 1995, Discret. Comput. Geom..

[11]  On the approximation of a ball by random polytopes , 1994, Advances in Applied Probability.

[12]  Piet Groeneboom,et al.  Limit theorems for functionals of convex hulls , 1994 .

[13]  Jörg M. Wills,et al.  Handbook of Convex Geometry , 1993 .

[14]  Christian Buchta,et al.  Random polytopes in a convex polytope, independence of shape, and concentration of vertices , 1993 .

[15]  Fernando Affentranger,et al.  On the convex hull of uniform random points in a simpled-polytope , 1991, Discret. Comput. Geom..

[16]  Josef S. Müller.  Approximation of a ball by random polytopes , 1990 .

[17]  Imre Bárány,et al.  Intrinsic volumes andf-vectors of random polytopes , 1989 .

[18]  Imre Bfir,et al.  Intrinsic volumes and f-vectors of random polytopes , 1989 .

[19]  Imre Bárány,et al.  CONVEX-BODIES, ECONOMIC CAP COVERINGS, RANDOM POLYTOPES , 1988 .

[20]  Piet Groeneboom,et al.  Limit theorems for convex hulls , 1988 .

[21]  R. Ambartzumian.  Stochastic and integral geometry , 1987 .

[22]  B. Efron,et al.  The Jackknife Estimate of Variance , 1981 .

[23]  M. Eisen,et al.  Probability and its applications , 1975 .

[24]  C. A. Rogers,et al.  The directions of the line segments and of the r -dimensional balls on the boundary of a convex body in Euclidean space , 1970 .

[25]  A. Rényi,et al.  über die konvexe Hülle von n zufällig gewählten Punkten , 1963 .