Abstract
In this paper we review techniques for estimating the intensity function of a spatial point process. We present a unified framework of mass preserving general weight function estimators that encompasses both kernel and tessellation based estimators. We give explicit expressions for the first two moments of these estimators in terms of their product densities, and pay special attention to Poisson processes.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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van Lieshout, MC.N.M. On Estimation of the Intensity Function of a Point Process. Methodol Comput Appl Probab 14, 567–578 (2012). https://doi.org/10.1007/s11009-011-9244-9
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DOI: https://doi.org/10.1007/s11009-011-9244-9
Keywords
- Delaunay tessellation field estimator
- General weight function estimator
- Intensity function
- Kernel estimator
- Mass preservation
- Poisson process
- Second order product density