Palm distributions for log Gaussian Cox processes

Jean-François Coeurjolly (1) , Jesper Møller (2) , Rasmus Waagepetersen (2)

1 FIGAL - Fiabilité et Géométrie Aléatoire
2 Department of Mathematical Sciences [Aalborg]

This paper reviews useful results related to Palm distributions of spatial point processes and provides a new result regarding the characterization of Palm distributions for the class of log Gaussian Cox processes. This result is used to study functional summary statistics for a log Gaussian Cox process.

Mots clés: J-function; joint intensities; Laplace approximation; nearest-neighbour distribution function; spatial point process

Domaines: Statistiques [math.ST]; Probabilités [math.PR]

Jean-François Coeurjolly, Jesper Møller, Rasmus Waagepetersen. Palm distributions for log Gaussian Cox processes. 2015. ⟨hal-01163672v2⟩