Statistical Distributions of poisson Voronoi Cells in Two and three Dimensions

摘要

Statistical distributions of geometrical characteristics concenrning the Poisson Voronoi cells,namely,Vornoi cells for the homoeneous Poisson point processes,are numerically obtained in two- and three-dimensional spaces based on the computer experiments.In this paper,ten millional spaces,respectively are generated.Geometrical generalized gamma distribution.Then,maximum likelihood estimates of parameters of the generalized gamma distribution are given.