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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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Published in: | Australian & New Zealand journal of statistics 2021-03, Vol.63 (1), p.93-118 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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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. |
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ISSN: | 1369-1473 1467-842X |
DOI: | 10.1111/anzs.12318 |