On kernel-based intensity estimation of spatial point patterns on linear networks
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Otros documentos de la autoría: Moradi, Mehdi; Rodríguez-Cortés, Francisco Javier; Mateu, Jorge
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https://doi.org/10.1080/10618600.2017.1360782 |
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Título
On kernel-based intensity estimation of spatial point patterns on linear networksFecha de publicación
2018-04Editor
Taylor & FrancisCita bibliográfica
MORADI, M. Mehdi; RODRÍGUEZ-CORTÉS, Francisco J.; MATEU, Jorge. On kernel-based intensity estimation of spatial point patterns on linear networks. Journal of Computational and Graphical Statistics, 2018, 1-10.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.tandfonline.com/doi/abs/10.1080/10618600.2017.1360782Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
We propose an extension of Diggle’s nonparametric edge-corrected kernel-based intensity estimator to the case of events coming from an inhomogenous point pattern on a linear network. We analyze its statistical prope ... [+]
We propose an extension of Diggle’s nonparametric edge-corrected kernel-based intensity estimator to the case of events coming from an inhomogenous point pattern on a linear network. We analyze its statistical properties, showing that it is an unbiased estimator of the first-order intensity; we also provide an expression for the variance, and comment on the appropriate bandwidth selection. Our estimator is compared with the current existing equal-split discontinuous kernel density estimator in terms of the mean integrated squared error (MISE). We then use our estimator on two real datasets. We first revisit street crimes in an area of Chicago, obtaining similar results to previously published ones based on a parametric intensity function. Then, we study network-based spatial events consisting of calls to the Police department reporting anti-social behavior in the city of Castellon (Spain). [-]
Proyecto de investigación
Spanish Ministry of Science and Education [P1-1B2015-40]; GEO-C program [642332].Derechos de acceso
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