6 papers · 1 filter
Multiscale Topological Inference for Marked Point Processes via Euler Characteristic Envelopes
Matthias Eckardt, Mehdi Moradi
The statistical analysis of marked point processes requires disentangling complex spatial arrangements from attribute-dependent interactions. While classical summary statistics are…
Testing the Structural Properties of Marked Point Processes Using Local Inhomogeneous Mark-Weighted K-Functions
Nicoletta D'Angelo, Giada Adelfio, Matthias Eckardt
This work proposes -type test statistics to assess different hypotheses on the local structure of an observed marked point pattern. The test statistics is based on the local…
Inhomogeneous mark correlation functions for general marked point processes
Mehdi Moradi, Matthias Eckardt
Spatial phenomena in environmental and biological contexts often involve events that are unevenly distributed across space and carry attributes, whose associations/variations are s…
Local Indicators of Mark Association for Spatial Marked Point Processes
Matthias Eckardt, Mehdi Moradi
The emergence of distinct local mark behaviours is becoming increasingly common in the applications of spatial marked point processes. This dynamic highlights the limitations of ex…
Function-valued marked spatial point processes on linear networks: application to urban cycling profiles
Matthias Eckardt, Jorge Mateu, Mehdi Moradi
In the literature on spatial point processes, there is an emerging challenge in studying marked point processes with points being labelled by functions. In this paper, we focus on…
Rejoinder on "Marked spatial point processes: current state and extensions to point processes on linear networks"
Matthias Eckardt, Mehdi Moradi
We are grateful to all discussants for their invaluable comments, suggestions, questions, and contributions to our article. We have attentively reviewed all discussions with keen i…