Visualizing spatial processes using Ripley's correction: an application to bodily-injury car accident location

Arthur Charpentier (1) , Ewen Gallic (2)

1 DMS - Département de Mathématiques et de statistique [UdeM- Montréal]
2 CREM - Centre de recherche en économie et management

In this paper, we investigate (and extend) Ripley's circumference method to correct bias of density estimation of edges (or frontiers). We provide a simple technique - based on optimal bandwidth using Gaussian kernels - to compute efficiently weights to correct border bias on frontiers of the region of interest. An illustration on location of bodily-injury car accident in the western part of France is discussed.

Mots clés: border bias; car accident; frontier; GIS; kernel estimation; polygons; Ripley's circumference method; spatial process

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Arthur Charpentier, Ewen Gallic. Visualizing spatial processes using Ripley's correction: an application to bodily-injury car accident location. 2012. ⟨hal-00725090v1⟩