12 citations · 16 across the 7 of their papers we have counts for
8 papers
Fitting three-dimensional Laguerre tessellations by hierarchical marked point process models
Filip Seitl, Jesper Møller, Viktor Beneš
We present a general statistical methodology for analysing a Laguerre tessellation data set viewed as a realization of a marked point process model. In the first step, for the poin…
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…
Estimation of geodesic tortuosity and constrictivity in stationary random closed sets
Matthias Neumann, Christian Hirsch, Jakub Staněk +2
We investigate the problem of estimating geodesic tortuosity and constrictivity as two structural characteristics of stationary random closed sets. They are of central importance f…
Gaussian approximation for functionals of Gibbs particle processes
Daniela Novotna, Viktor Benes
In the paper asymptotic properties of functionals of stationary Gibbs particle processes are derived. Two known techniques from the point process theory in the Euclidean space R^d…
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…
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…
Functionals of spatial point processes having a density with respect to the Poisson process
Viktor Benes, Marketa Zikmundova
U-statistics of spatial point processes given by a density with respect to a Poisson process are investigated. In the first half of the paper general relations are derived for the…