An Inscribing Model for Random Polytopes

For convex bodies K with C2 boundary in Rd, we explore random polytopes with vertices chosen along the boundary of K. In particular, we determine asymptotic properties of the volume of these random polytopes. We provide results concerning the variance and higher moments of this functional, as well as an analogous central limit theorem.

• Type: Journal
• Year: 2008
• Where: DCG
• Authors: Ross M. Richardson, Van H. Vu, Lei Wu
• Keywords: Analogous Central Limit, Asymptotic Properties, DCG 2008, Random Polytopes