We introduce a new fully non-parametric two-step adaptive bandwidth selection method for kernel estimators of spatial point process intensity functions based on the Campbell–Mecke formula and Abramson’s square root law. We present a simulation study to assess its performance relative to other adaptive and global bandwidth selectors, investigate the influence of the pilot estimator and apply the technique to two data sets: A pattern of trees and an earthquake catalogue.

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doi.org/10.1007/s10463-023-00890-6
Annals of the Institute of Statistical Mathematics
Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands

van Lieshout, M.-C. (2023). Non-parametric adaptive bandwidth selection for kernel estimators of spatial intensity functions. Annals of the Institute of Statistical Mathematics. doi:10.1007/s10463-023-00890-6