A J-function for Inhomogeneous Spatio-temporal Point Processes

نویسندگان

  • O. CRONIE
  • M. N. M. VAN LIESHOUT
چکیده

We propose a new summary statistic for inhomogeneous intensity-reweighted moment stationarity spatio-temporal point processes. The statistic is defined in terms of the n-point correlation functions of the point process, and it generalizes 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 spatio-temporal K-function. We further discuss its explicit form under some specific model assumptions and derive ratio-unbiased estimators. We finally illustrate the use of our statistic in practice.

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تاریخ انتشار 2015