141 citations · 441 across the 51 of their papers we have counts for
4 papers · 2 filters
Approximation properties of random polytopes associated with Poisson hyperplane processes
Daniel Hug, Rolf Schneider
We consider a stationary Poisson hyperplane process with given directional distribution and intensity in -dimensional Euclidean space. Generalizing the zero cell of such a proce…
Minkowski tensor density formulas for Boolean models
Julia Hörrmann, Daniel Hug, Michael Klatt +1
A stationary Boolean model is the union set of random compact particles which are attached to the points of a stationary Poisson point process. For a stationary Boolean model with…
Second-order properties and central limit theorems for geometric functionals of Boolean models
Daniel Hug, Günter Last, Matthias Schulte
Let be a Boolean model based on a stationary Poisson process of compact, convex particles in Euclidean space . Let denote a compact, convex observation…
Statistics for Poisson models of overlapping spheres
Daniel Hug, Günter Last, Zbyněk Pawlas +1
The paper considers the stationary Poisson Boolean model with spherical grains and proposes a family of nonparametric estimators for the radius distribution. These estimators are b…