We propose new summary statistics for intensity-reweighted moment stationary marked point processes with particular emphasis on discrete marks. The new statistics are based on the n-point correlation functions and reduce to cross J- and D-functions when stationarity holds. We explore the relationships between the various functions and discuss their explicit forms under specific model assumptions. We derive ratio-unbiased minus sampling estimators for our statistics and illustrate their use on a data set of wildfires.
Additional Metadata
MSC Point processes (msc 60G55)
THEME Logistics (theme 3), Life Sciences (theme 5)
Citation
Cronie, O.J.A, & van Lieshout, M.N.M. (2014). Summary statistics for inhomogeneous marked point processes.