Cluster size distributions of extreme values for the Poisson–Voronoi tessellation
Cluster size distributions of extreme values for the Poisson–Voronoi tessellation
We consider the Voronoi tessellation based on a homogeneous Poisson point process in an Euclidean space. For a geometric characteristic of the cells (e.g., the inradius, the circumradius, the volume), we investigate the point process of the nuclei of the cells with large values. Conditions are obtained for the convergence …