Abstract
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.
Original language | English |
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Journal | Australian and New Zealand Journal of Statistics |
Volume | 63 |
Issue number | 1 |
Pages (from-to) | 93-118 |
Number of pages | 26 |
ISSN | 1369-1473 |
DOIs | |
Publication status | Published - Mar 2021 |
Bibliographical note
Publisher Copyright:© 2021 John Wiley & Sons Australia, Ltd
Keywords
- inhomogeneous K-function
- intensity function
- kernel estimation
- pair correlation function
- second-order intensity-reweighted stationarity
- spatial point process