12 citations · 14 across the 4 of their papers we have counts for
5 papers
Decorrelation of a class of Gibbs particle processes and asymptotic properties of U-statistics
Viktor Beneš, Christoph Hofer-Temmel, Günter Last +1
We study a stationary Gibbs particle process with deterministically bounded particles on Euclidean space defined in terms of an activity parameter and non-negative interaction pote…
Planar segment processes with reference mark distributions, modeling and estimation
Viktor Benes, Jakub Vecera, Milan Pultar
The paper deals with planar segment processes given by a density with respect to the Poisson process. Parametric models involve reference distributions of directions and/or lengths…
Approaches to asymptotics for U-statistics of Gibbs facet processes
Jakub Vecera, Viktor Benes
It is shown how the central limit theorem for U-statistics of spatial Poisson point processes can help to derive the central limit theorem for U-statistics of a Gibbs facet process…
Central limit theorem for Gibbsian U-statistics of facet processes
Jakub Vecera
Special case of a Gibbsian facet process on a fixed window with a discrete orientation distribution and with increasing intensity of the underlying Poisson process is studied. All…
Interaction processes for unions of facets, a limit behavior
Jakub Vecera, Viktor Benes
In the series of models with interacting particles in stochastic geometry, a new contribution presents the facet process which is defined in arbitrary Euclidean dimension. In 2D, 3…