2013/11/25 by Cronie, O., van Lieshout, M. N. M.
#60D05 #60G55 #62M30 #FOS: Mathematics #Statistics Theory (math.ST)
paper · doi:10.48550/arxiv.1311.6327
We propose a new summary statistic for inhomogeneous intensity-reweighted moment stationary spatio-temporal point processes. The statistic is defined through the n-point correlation functions of the point process and it generalises the J-function when stationarity is assumed. We show that our statistic can be represented in terms of the generating functional and that it is related to the inhomogeneous K-function. We further discuss its explicit form under some specific model assumptions and derive a ratio-unbiased estimator. We finally illustrate the use of our statistic on simulated data.