AJ–function for inhomogeneous point processes
- 8 April 2011
- journal article
- Published by Wiley in Statistica Neerlandica
- Vol. 65 (2) , 183-201
Abstract
We propose new summary statistics for intensity‐reweighted moment stationary point processes, that is, point processes with translation invariantn‐point correlation functions for all, that generalise the well knownJ‐, empty space, and spherical Palm contact distribution functions. We represent these statistics in terms of generating functionals and relate the inhomogeneousJ‐function to the inhomogeneous reduced second moment function. Extensions to space time and marked point processes are briefly discussed.Keywords
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