On kernel-based intensity estimation of spatial point patterns on linear networks
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Other documents of the author: Moradi, Mehdi; Rodríguez-Cortés, Francisco Javier; Mateu, Jorge
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/43662
comunitat-uji-handle3:10234/43643
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https://doi.org/10.1080/10618600.2017.1360782 |
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Title
On kernel-based intensity estimation of spatial point patterns on linear networksDate
2018-04Publisher
Taylor & FrancisBibliographic citation
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.Type
info:eu-repo/semantics/articlePublisher version
https://www.tandfonline.com/doi/abs/10.1080/10618600.2017.1360782Version
info:eu-repo/semantics/publishedVersionSubject
Abstract
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). [-]
Investigation project
Spanish Ministry of Science and Education [P1-1B2015-40]; GEO-C program [642332].Rights
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