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The distributions of convex body functionals of the Poisson polyhedron
Felix Ballani, Dietrich Stoyan
This note presents new findings on the distribution of the volume and surface area of both the Poisson polyhedron and the Crofton polyhedron. It also considers the distribution of…
Systematic co-occurrence of tail correlation functions among max-stable processes
Kirstin Strokorb, Felix Ballani, Martin Schlather
The tail correlation function (TCF) is one of the most popular bivariate extremal dependence measures that has entered the literature under various names. We study to what extent t…
Random Marked Sets
Felix Ballani, Zakhar Kabluchko, Martin Schlather
We aim to link random fields and marked point processes and therefore introduce a new class of stochastic processes which are defined on a random set in R^d. Unlike for random fiel…