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Palm Distributions for Log Gaussian Cox Processes |
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| 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 |