3 papers
math.PR2026
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…
stat.ME2016
On the estimation of parameters of a spheroid distribution from planar sections
Markus Baaske, Felix Ballani, Alexandra Illgen
We study two different methods for inferring the parameters of a spheroid distribution from planar sections of a stationary spatial system of spheroids: one method first unfolds no…
stat.ME2012
Generalizations of Matérn's hard-core point processes
Jakob Teichmann, Felix Ballani, Karl Gerald van den Boogaart
Matérn's hard-core processes are valuable point process models in spatial statistics. In order to extend their field of application, Matérn's original models are generalized here,…