Log Gaussian Cox Processes

作者：Jesper Michael Moller, Anne Randi Syversveen, Rasmus Plenge Waagepetersen · 发表于：Scandinavian Journal of Statistics · 年份：1998 · DOI：10.1111/1467-9469.00115 · 被引用次数：785 · 研究领域：Point processes and geometric inequalities、Soil Geostatistics and Mapping、Morphological variations and asymmetry

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.