Decomposition of Variance for Spatial Cox Processes

作者：Jalilian Abdollah; Guan Yongtao; Waagepetersen Rasmus^*

来源：Scandinavian Journal of Statistics, 2013, 40(1): 119-137.

DOI：10.1111/j.1467-9469.2012.00795.x

• additive random intensity
• composite likelihood
• Cox process
• Matern covariance function
• normal variance mixture
• pair correlation function
• variance component

. Spatial Cox point processes is a natural framework for quantifying the various sources of variation governing the spatial distribution of rain forest trees. We introduce a general criterion for variance decomposition for spatial Cox processes and apply it to specific Cox process models with additive or log linear random intensity functions. We moreover consider a new and flexible class of pair correlation function models given in terms of normal variance mixture covariance functions. The proposed methodology is applied to point pattern data sets of locations of tropical rain forest trees.

• 出版日期2013-3