Non-parametric Intensity Estimation for Spatial Point Patterns with R

Jorge Mateu () and Mehdi Moradi ()
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Jorge Mateu: University Jaume I, Department of Mathematics
Mehdi Moradi: Umeå University, Department of Mathematics and Mathematical Statistics

A chapter in Flexible Nonparametric Curve Estimation, 2024, pp 113-151 from Springer

Abstract: Abstract We consider several cases where one needs to estimate the (first-order) intensity function for different spatial point patterns on some state spaces such as ℝ 2 $$\mathbb R^2$$ and linear networks. Furthermore, we consider spatial point patterns on irregular windows, replicated point patterns, time-ordered point patterns, and trajectories. The use of various kernel- and Voronoi-based intensity estimators in R is largely discussed through several applications, including wildfires, (street) crimes, active fires, mineral flotation, war data, and taxi movements.

Keywords: Bandwidth; Curve estimation; Kernel; Linear network; Replicated point patterns; Time series; Trajectories; Voronoi (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-66501-1_6

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DOI: 10.1007/978-3-031-66501-1_6

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