Random polytopes: central limit theorems for intrinsic volumes

Abstract

Short and transparent proofs of central limit theorems for intrinsic volumes of random polytopes in smooth convex bodies are presented. They combine different tools such as estimates for floating bodies with Stein's method from probability theory.

We fixed a mistake from the first version of this article

References in corpus (2)

• A new method of normal approximation
• Brownian limits, local limits and variance asymptotics for convex hulls in the ball