5 papers · 1 filter
Fitting the topology of synthetic particle systems with a novel graph representation
Martin Alexander Memmesheimer, Claudia Redenbach
The shape and arrangement of particles in a material determine its macroscopic properties. The generation of synthetic data with varying particle structure, often represented as 3D…
Goodness-of-fit tests for spatial point processes: A power study
Chiara Fend, Claudia Redenbach
Spatial point processes are used as models in many different fields ranging from ecology and forestry to cosmology and materials science. In recent years, model validation, and in…
Bayesian inference for Neyman-Scott point processes with anisotropic clusters
JiÅà DvoÅák, Emily Ewers, Tomáš MrkviÄka +1
There are few inference methods available to accommodate covariate-dependent anisotropy in point process models. To address this, we propose an extended Bayesian MCMC approach for…
Goodness-of-fit tests for spatial point processes: A review
Chiara Fend, Claudia Redenbach
In this review, the state-of-the-art for goodness-of-fit testing for spatial point processes is summarized. Test statistics based on classical functional summary statistics and rec…
Nonparametric Isotropy Test for Spatial Point Processes using Random Rotations
Chiara Fend, Claudia Redenbach
In spatial statistics, point processes are often assumed to be isotropic meaning that their distribution is invariant under rotations. Statistical tests for the null hypothesis of…