Hybrids of Gibbs Point Process Models and Their Implementation

作者：Baddeley Adrian^*; Turner Rolf; Mateu Jorge; Bevan Andrew

来源：Journal of Statistical Software, 2013, 55(11): 1-43.

• spatial point processes
• spatstat
• R
• C
• maximum pseudolikelihood
• Berman-Turner device
• Markov chain Monte Carlo
• birth-death-shift Metropolis-Hastings algorithm
• Gordon Square data
• social interaction

We describe a simple way to construct new statistical models for spatial point pattern data. Taking two or more existing models (finite Gibbs spatial point processes) we multiply the probability densities together and renormalise to obtain a new probability density. We call the resulting model a hybrid. We discuss stochastic properties of hybrids, their statistical implications, statistical inference, computational strategies and software implementation in the R package spatstat. Hybrids are particularly useful for constructing models which exhibit interaction at different spatial scales. The methods are demonstrated on a real data set on human social interaction. Software and data are provided.

• 出版日期2013-11
• 单位CSIRO