A J-function for inhomogeneous point processes

preprint2010arXivOpen access

Abstract

We propose new summary statistics for intensity-reweighted moment stationary point processes that generalise the well known J-, empty space, and nearest-neighbour distance distribution functions, represent them in terms of generating functionals and conditional intensities, and relate them to the inhomogeneous reduced second moment function. Extensions to space time and marked point processes are briefly discussed.

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