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 establishes a remarkable result regarding Palm distributions for a log Gaussian Cox process: the reduced Palm distribution for a log Gaussian Cox process is itself a log Gaussian Cox process which only differs from the original log Gaussian Cox process in the intensity function. This new result is used to study functional summaries for log Gaussian Cox processes.

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. Scandinavian Journal of Statistics, 2017, 44 (1), pp.192-203. ⟨10.1111/sjos.12248⟩. ⟨hal-01163672v4⟩