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Pré-Publication, Document De Travail Année : 2013

Kernel Density Estimation with Ripley's Circumferential Correction

Résumé

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.
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Dates et versions

hal-00725090 , version 1 (31-08-2012)
hal-00725090 , version 2 (10-06-2013)
hal-00725090 , version 3 (10-10-2013)
hal-00725090 , version 4 (21-10-2014)

Identifiants

  • HAL Id : hal-00725090 , version 4

Citer

Arthur Charpentier, Ewen Gallic. Kernel Density Estimation with Ripley's Circumferential Correction. 2013. ⟨hal-00725090v4⟩
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