The paper discusses problems which appear in statistics of random polyhedra. Several parametric models of random polyhedra are considered. Particular attention is paid to the model of convex-stable compact random sets, which appear as weak limits of normalized convex hulls of systems of random points. It depends on two parameters only, but nevertheless provides sufficient flexibility of shape, and allows computations of several motion-invariant characteristics. The application of the model is demonstrated for real samples of particles.

, , ,
CWI
Department of Operations Research, Statistics, and System Theory [BS]

Molchanov, I.S, & Stoyan, D. (1995). Statistical models of random polyhedra. Department of Operations Research, Statistics, and System Theory [BS]. CWI.