Kernel Density Estimation with Ripley's Circumferential Correction

31 Pages Posted: 27 Oct 2014  

Arthur Charpentier

Université de Rennes 1

Ewen Gallic

Université de Rennes I

Date Written: October 25, 2014

Abstract

In this paper, we investigate (and extend) Ripley's circumference method to correct bias of density estimation of edges (or frontiers) of regions. The idea of the method was theoretical and difficult to implement. We provide a simple technique - based of properties of Gaussian kernels - to efficiently compute weights to correct border bias on frontiers of the region of interest, with an automatic selection of an optimal radius for the method. We illustrate the use of that technique to visualize hot spots of car accidents and campsite locations, as well as location of bike thefts.

Keywords: border bias; edge correction; frontier; GIS; kernel estimation; polygons; Ripley's circumference method; spatial process; visualization

JEL Classification: C14, C65, R15

Suggested Citation

Charpentier, Arthur and Gallic, Ewen, Kernel Density Estimation with Ripley's Circumferential Correction (October 25, 2014). Available at SSRN: https://ssrn.com/abstract=2514890 or http://dx.doi.org/10.2139/ssrn.2514890

Arthur Charpentier (Contact Author)

Université de Rennes 1 ( email )

7, place Hoche
Rennes, Rennes 35700
France

HOME PAGE: http://perso.univ-rennes1.fr/arthur.charpentier/index.html

Ewen Gallic

Université de Rennes I ( email )

7, place Hoche
Rennes, Rennes 35700
France

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