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arXiv · 1311.6327

A J-function for inhomogeneous spatio-temporal point processes

O. Cronie·M. N. M. van Lieshout
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Abstract

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.

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O. Cronie, M. N. M. van Lieshout. 2013-11-25. A J-function for inhomogeneous spatio-temporal point processes. https://arxiv.org/abs/1311.6327

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