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dc.contributor.authorMoradi, Mehdi
dc.contributor.authorMateu, Jorge
dc.contributor.authorComas Rodríguez, Carles
dc.date.accessioned2021-01-26T10:22:37Z
dc.date.available2021-10-15T22:18:49Z
dc.date.issued2020
dc.identifier.issn2049-1573
dc.identifier.urihttp://hdl.handle.net/10459.1/70327
dc.description.abstractStatistical analysis of point processes often assumes that the underlying process is isotropic in the sense that its distribution is invariant under rotation. For point processes on ℝ2, some tests based on the K‐ and nearest neighbour orientation functions have been proposed to check such an assumption. However, anisotropy and directional analysis need proper caution when dealing with point processes on linear networks, as the implicit geometry of the network forces particular directions that the points of the pattern have to necessarily meet. In this paper, we adapt such tests to the case of linear networks, and discuss how to use them to detect particular directional preferences, even at some angles that are different from the main angles imposed by the network. Through a simulation study, we check the performance of our proposals under different settings, over a linear network and a dendrite tree, showing that they are able to precisely detect the directional preferences of the points in the pattern, regardless the type of spatial interaction and the geometry of the network. We use our tests to highlight the directional preferences in the spatial distribution of traffic accidents in Barcelona (Spain) during 2019, and in Medellin (Colombia), during 2016.ca_ES
dc.description.sponsorshipJ. Mateu has been partially funded by grants PID2019-107392RB-I00 from the Spanish Ministry of Science, AICO/2019/198 from Generalitat Valenciana, and UJI-B2018-04 from UJI, and C. Comas by grant MTM2017-86767-R from the Spanish Ministry of Science.ca_ES
dc.language.isoengca_ES
dc.publisherWileyca_ES
dc.relationMINECO/PN2013-2016/MTM2017-86767-Rca_ES
dc.relationMINECO/PN2017-2020/PID2019-107392RB-I00ca_ES
dc.relation.isformatofVersió postprint del document publicat a https://doi.org/10.1002/sta4.323ca_ES
dc.relation.ispartofStat, 2020, e323ca_ES
dc.rights(c) Wiley, 2002ca_ES
dc.subjectCircular densityca_ES
dc.subjectDendriteca_ES
dc.subjectImmigration-deathca_ES
dc.titleDirectional analysis for point patterns on linear networksca_ES
dc.typeinfo:eu-repo/semantics/articleca_ES
dc.identifier.idgrec030686
dc.type.versioninfo:eu-repo/semantics/acceptedVersionca_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_ES
dc.identifier.doihttps://doi.org/10.1002/sta4.323


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