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 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
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This publication has 15 references indexed in Scilit:
- Statistical Analysis and Modelling of Spatial Point Patterns2007
- A J-Function for Marked Point PatternsAnnals of the Institute of Statistical Mathematics, 2006
- Nonparametric Measures of Association between a Spatial Point Process and a Random Set, with Geological ApplicationsJournal of the Royal Statistical Society Series C: Applied Statistics, 2002
- Spatial interaction of methylene blue stained soil poresGeoderma, 2001
- Non‐ and semi‐parametric estimation of interaction in inhomogeneous point patternsStatistica Neerlandica, 2000
- Estimating the J function without edge correctionStatistica Neerlandica, 2000
- Indices of Dependence Between Types in Multivariate Point PatternsScandinavian Journal of Statistics, 1999
- A Global Descriptor of Spatial Pattern Interaction in the Galaxy DistributionThe Astrophysical Journal, 1999
- Log Gaussian Cox ProcessesScandinavian Journal of Statistics, 1998
- The hierarchy of correlation functions and its relation to other measures of galaxy clusteringMonthly Notices of the Royal Astronomical Society, 1979