3 papers
math.PR2024
New density/likelihood representations for Gibbs models based on generating functionals of point processes
Ottmar Cronie
Deriving exact density functions for Gibbs point processes has been challenging due to their general intractability, stemming from the intractability of their normalising constants…
stat.ME2024
Comparison of Point Process Learning and its special case Takacs-Fiksel estimation
Julia Jansson, Ottmar Cronie
Recently, Cronie et al. (2024) introduced the notion of cross-validation for point processes and a new statistical methodology called Point Process Learning (PPL). In PPL one split…
stat.ME2024
Semi-parametric profile pseudolikelihood via local summary statistics for spatial point pattern intensity estimation
Nicoletta D'Angelo, Giada Adelfio, Jorge Mateu +1
Second-order statistics play a crucial role in analysing point processes. Previous research has specifically explored locally weighted second-order statistics for point processes,…