3 papers
stat.ME2026
-functions for point processes on complex surfaces
Francisco Cuevas-Pacheco, Scott Ward, Ed Cohen +1
The -function is a fundamental summary statistic for assessing clustering or regularity of point processes in two or three dimensional Euclidean space. In practice, however, man…
stat.ME2025
Semi-parametric Markov models for multi-type point patterns
Ib Thorsgaard Jensen, Jean-François Coeurjolly, Rasmus Waagepetersen
Multi-type Markov point processes offer a flexible framework for modelling complex multi-type point patterns where it is pertinent to capture both interactions between points as we…
math.PR2025
Critical Point Processes Obtained from a Gaussian Random Field with a View Towards Statistics
Julien Chevallier, Jean-François Coeurjolly, Rasmus Waagepetersen
This paper establishes the theoretical foundation for statistical applications of an intriguing new type of spatial point processes called critical point processes. These point pro…