On the asymptotic distribution of the area outside a random convex hull in a disk
The paper studies statistical properties of the convex hull formed by \(n\) uniformly distributed points in a disk in \(\mathbb{R}^ 2\). The main results are that the asymptotic variance of the area outside this convex hull is of the order \(n^{-5/3}\), and that the asymptotic distribution of this area is normal.
scientific article; zbMATH DE number 639115