A J-function for inhomogeneous point processes

M.N.M. Lieshout, van

Research output: Contribution to journalArticleAcademicpeer-review

26 Citations (Scopus)

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 n in N, 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.
Original languageEnglish
Pages (from-to)183-201
JournalStatistica Neerlandica
Volume65
Issue number2
DOIs
Publication statusPublished - 2011

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