A J–function for inhomogeneous point processes

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Abstract

We propose new summary statistics for intensity-reweighted moment stationary point processes, that is, point processes with translation invariant n-point correlation functions for all inline image, that generalise the well known J-, empty space, and spherical Palm contact distribution functions. We represent these statistics in terms of generating functionals and relate the inhomogeneous J-function to the inhomogeneous reduced second moment function. Extensions to space time and marked point processes are briefly discussed.

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