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Globally intensity‐reweighted estimators for K‐ and pair correlation functions

Summary We introduce new estimators of the inhomogeneous K‐function and the pair correlation function of a spatial point process as well as the cross K‐function and the cross pair correlation function of a bivariate spatial point process under the assumption of second‐order intensity‐reweighted stat...

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Bibliographic Details
Published in:Australian & New Zealand journal of statistics 2021-03, Vol.63 (1), p.93-118
Main Authors: Shaw, Thomas, M⊘ller, Jesper, Waagepetersen, Rasmus Plenge
Format: Article
Language:English
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Summary:Summary We introduce new estimators of the inhomogeneous K‐function and the pair correlation function of a spatial point process as well as the cross K‐function and the cross pair correlation function of a bivariate spatial point process under the assumption of second‐order intensity‐reweighted stationarity. These estimators rely on a ‘global’ normalisation factor which depends on an aggregation of the intensity function, while the existing estimators depend ‘locally’ on the intensity function at the individual observed points. The advantages of our new global estimators over the existing local estimators are demonstrated by theoretical considerations and a simulation study.
ISSN:1369-1473
1467-842X
DOI:10.1111/anzs.12318