A J-function for inhomogeneous point processes

M.N.M. Lieshout, van

Research output: Book/ReportReportAcademic

Abstract

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. Keywords & Phrases: Conditional intensity, empty space function, generating functional, J-function, nearest-neighbour distance distribution function, inhomogeneity, intensity-reweighted moment stationarity, marked point process, minus sampling estimator, product density, reduced second moment measure, spatial interaction.
Original languageEnglish
Place of PublicationAmsterdam
PublisherCentrum voor Wiskunde en Informatica
Number of pages19
Publication statusPublished - 2010

Publication series

NameCWI Report
VolumePNA-1006

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