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Log Gaussian Cox Processes |
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| Authors: | Jesper Møller Anne Randi Syversveen & Rasmus Plenge Waagepetersen |
| Institution: | Aalborg University,;The Norwegian University of Science and Technology,;University of Aarhus |
| Abstract: | Planar Cox processes directed by a log Gaussian intensity process are investigated in the univariate and multivariate cases. The appealing properties of such models are demonstrated theoretically as well as through data examples and simulations. In particular, the first, second and third-order properties are studied and utilized in the statistical analysis of clustered point patterns. Also empirical Bayesian inference for the underlying intensity surface is considered. |
| Keywords: | empirical Bayesian inference ergodicity Markov chain Monte Carlo Metropolis-adjusted Langevin algorithm multivariate Cox processes Neyman–Scott processes pair correlation function parameter estimation spatial point processes third-order properties |