Goodness-of-fit test for point processes first-order intensity

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizaciónes_ES
dc.contributor.authorBorrajo García, María Isabel
dc.contributor.authorGonzález Manteiga, Wenceslao
dc.contributor.authorMartínez Miranda, María Dolores
dc.date.accessioned2024-03-21T08:05:18Z
dc.date.available2024-03-21T08:05:18Z
dc.date.issued2024
dc.description.abstractModelling the first-order intensity function is one of the main aims in point process theory. An appropriate model describes the first-order intensity as a nonparametric function of spatial covariates. A formal testing procedure is presented to assess the goodness-of-fit of this model, assuming an inhomogeneous Poisson point process. The test is based on a quadratic distance between two kernel intensity estimators. The asymptotic normality of the test statistic is proved and a bootstrap procedure to approximate its distribution is suggested. The proposal is illustrated with two applications to real data sets, and an extensive simulation study to evaluate its finite-sample performance.es_ES
dc.description.peerreviewedSIes_ES
dc.description.sponsorshipThe authors are grateful for the very constructive comments from the three anonymous reviewers and Associate Editor which helped to improve this manuscript. The authors acknowledge the support through the project PID2020-116587GB-I00 granted by MICIU/AEI/10.13039/501100011033. The authors also acknowledge the Canadian Wildland Fire Information System for their activity in recording and freely providing part of the real data used in this paper.es_ES
dc.identifier.citationBorrajo, González-Manteiga, & Martínez-Miranda. (2024). Goodness-of-fit test for point processes first-order intensity. Computational Statistics and Data Analysis, 194. https://doi.org/10.1016/J.CSDA.2024.107929es_ES
dc.identifier.doi10.1016/j.csda.2024.107929
dc.identifier.issn0167-9473
dc.identifier.urihttp://hdl.handle.net/10347/33261
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-116587GB-I00/ES/DINAMICA COMPLEJA E INFERENCIA NO PARAMETRICA/es_ES
dc.rights© 2024 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND licensees_ES
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectPoint processeses_ES
dc.subjectFirst-order intensityes_ES
dc.subjectGoodness-of-fites_ES
dc.subjectCovariateses_ES
dc.titleGoodness-of-fit test for point processes first-order intensityes_ES
dc.typejournal articlees_ES
dc.type.hasVersionVoRes_ES
dspace.entity.typePublication
relation.isAuthorOfPublication41daab17-f445-4520-a4f9-7143e36c3e0f
relation.isAuthorOfPublicationb953938f-b35a-43c1-ac9b-17e3692be77c
relation.isAuthorOfPublication.latestForDiscovery41daab17-f445-4520-a4f9-7143e36c3e0f

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