A non-model-based approach to bandwidth selection for kernel estimators of spatial intensity functions
Journal article, 2018
We propose a new bandwidth selection method for kernel estimators of spatial point process intensity
functions. The method is based on an optimality criterion motivated by the Campbell formula applied
to the reciprocal intensity function. The new method is fully nonparametric, does not require knowledge of higher-order moments, and is not restricted to a specific class of point process. Our approach is
computationally straightforward and does not require numerical approximation of integrals.
functions. The method is based on an optimality criterion motivated by the Campbell formula applied
to the reciprocal intensity function. The new method is fully nonparametric, does not require knowledge of higher-order moments, and is not restricted to a specific class of point process. Our approach is
computationally straightforward and does not require numerical approximation of integrals.
Bandwidth selection
Campbell formula
Point process
Intensity function
Kernel estimation
Author
Ottmar Cronie
Umeå University
Marie Colette N.M. Van Lieshout
Stichting Centrum voor Wiskunde & Informatica (CWI)
Biometrika
0006-3444 (ISSN) 1464-3510 (eISSN)
Vol. 105 455-462Subject Categories
Probability Theory and Statistics
DOI
10.1093/biomet/asy001