On Estimation of the Intensity Function of a Point Process

Marie-Colette N. M. Lieshout ()
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Marie-Colette N. M. Lieshout: CWI and Eindhoven University of Technology

Methodology and Computing in Applied Probability, 2012, vol. 14, issue 3, 567-578

Abstract: 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.

Keywords: Delaunay tessellation field estimator; General weight function estimator; Intensity function; Kernel estimator; Mass preservation; Poisson process; Second order product density; 60G55; 62M30 (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s11009-011-9244-9

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