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Palm Distributions for Log Gaussian Cox Processes
Authors:Jean‐François Coeurjolly  Jesper Møller  Rasmus Waagepetersen
Affiliation:1. Laboratory Jean Kuntzmann, Grenoble Alpes University, Grenoble, France;2. Department of Mathematical Sciences, Aalborg University, Aalborg, France
Abstract: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 that 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.
Keywords:J‐function  joint intensities  Laplace approximation  nearest‐neighbour distribution function  spatial point process
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