Kernel Density Estimation with Ripley's Circumferential Correction
31 Pages Posted: 27 Oct 2014
Date Written: October 25, 2014
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
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