LOG GAUSSIAN COX PROCESSES

Planar Cox processes directed by a log Gaussian intensity process are investigated in the univariate and multivariate cases. The appealing p roperties of such models are demonstrated theoretically as well as thr ough data examples and simulations. In particular, the first, second a nd third-order properties are studied and utilized in the statistical analysis of clustered point patterns. Also empirical Bayesian inferenc e for the underlying intensity surface is considered.