A non-model-based approach to bandwidth selection for kernel estimators of spatial intensity functions

O. Cronie; Maria Nicolette Margaretha van Lieshout

doi:10.1093/biomet/asy001

A non-model-based approach to bandwidth selection for kernel estimators of spatial intensity functions

O. Cronie (Corresponding Author), Maria Nicolette Margaretha van Lieshout (Corresponding Author)

Stochastic Operations Research

Research output: Contribution to journal › Article › Academic › peer-review

55 Citations (Scopus)

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Abstract

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.

Original language	English
Pages (from-to)	455-462
Number of pages	8
Journal	Biometrika
Volume	105
Issue number	2
DOIs	https://doi.org/10.1093/biomet/asy001
Publication status	Published - 16 Feb 2018

Keywords

UT-Hybrid-D
Campbell formula
Intensity function
Kernel estimation
Point process
Bandwidth selection

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10.1093/biomet/asy001

2018-XCronieLieshout_asy001Proof, 259 KB

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abstract = "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.",

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KW - Point process

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A non-model-based approach to bandwidth selection for kernel estimators of spatial intensity functions

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Keywords

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