Bootstrap bandwidth selection for the pair correlation function of inhomogeneous spatial point processes

33 pages, 27 figures, 2 tables.-- This is an Open Access article distributed under the terms of the Creative Commons Attribution License

Detalles Bibliográficos
Autores: Fuentes-Santos, I., González-Manteiga, W., Mateu, Jorge
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/338232
Acceso en línea:http://hdl.handle.net/10261/338232
Access Level:acceso abierto
Palabra clave:Bandwidth selector
Kernel estimator: intensity function
Marked point bootstrap
MISE
Pair correlation function
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spelling Bootstrap bandwidth selection for the pair correlation function of inhomogeneous spatial point processesFuentes-Santos, I.González-Manteiga, W.Mateu, JorgeBandwidth selectorKernel estimator: intensity functionMarked point bootstrapMISEPair correlation function33 pages, 27 figures, 2 tables.-- This is an Open Access article distributed under the terms of the Creative Commons Attribution LicenseThis work focuses on kernel estimation of the pair correlation function (PCF) for inhomogeneous spatial point processes. We propose a bootstrap bandwidth selector based on minimizing the mean integrated squared error (MISE). The variance term is estimated by nonparametric bootstrap, and the bias by a plug-in approach using a pilot estimator of the PCF. Kernel estimators of the PCF also require a pilot estimator of the first-order intensity. We test the performance of the bandwidth selector and the role of the pilot intensity estimator in a simulation study. The bootstrap bandwidth selector is competitive with cross-validation procedures, but the contribution of the bandwidth parameter to the goodness-of-fit of the kernel PCF estimator is minor in comparison with that of the pilot intensity function. The data-based kernel intensity estimator leads to biased kernel PCF estimators, while both kernel and parametric covariate-based intensities provide accurate estimators of the PCFThis work has been supported by the Agencia Estatal de Investigación (AEI)/FEDER, UE [project numbers MTM2016-76969-P, PID2019-107392RB-I00 and PID2020-116587GB-I00]Peer reviewedTaylor & FrancisAgencia Estatal de Investigación (España)European CommissionConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202320232023info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/338232reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-107392RB-I00info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-116587GB-I00No datahttps://doi.org/10.1080/00949655.2023.2220860Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3382322026-05-22T06:33:51Z
dc.title.none.fl_str_mv Bootstrap bandwidth selection for the pair correlation function of inhomogeneous spatial point processes
title Bootstrap bandwidth selection for the pair correlation function of inhomogeneous spatial point processes
spellingShingle Bootstrap bandwidth selection for the pair correlation function of inhomogeneous spatial point processes
Fuentes-Santos, I.
Bandwidth selector
Kernel estimator: intensity function
Marked point bootstrap
MISE
Pair correlation function
title_short Bootstrap bandwidth selection for the pair correlation function of inhomogeneous spatial point processes
title_full Bootstrap bandwidth selection for the pair correlation function of inhomogeneous spatial point processes
title_fullStr Bootstrap bandwidth selection for the pair correlation function of inhomogeneous spatial point processes
title_full_unstemmed Bootstrap bandwidth selection for the pair correlation function of inhomogeneous spatial point processes
title_sort Bootstrap bandwidth selection for the pair correlation function of inhomogeneous spatial point processes
dc.creator.none.fl_str_mv Fuentes-Santos, I.
González-Manteiga, W.
Mateu, Jorge
author Fuentes-Santos, I.
author_facet Fuentes-Santos, I.
González-Manteiga, W.
Mateu, Jorge
author_role author
author2 González-Manteiga, W.
Mateu, Jorge
author2_role author
author
dc.contributor.none.fl_str_mv Agencia Estatal de Investigación (España)
European Commission
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Bandwidth selector
Kernel estimator: intensity function
Marked point bootstrap
MISE
Pair correlation function
topic Bandwidth selector
Kernel estimator: intensity function
Marked point bootstrap
MISE
Pair correlation function
description 33 pages, 27 figures, 2 tables.-- This is an Open Access article distributed under the terms of the Creative Commons Attribution License
publishDate 2023
dc.date.none.fl_str_mv 2023
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/338232
url http://hdl.handle.net/10261/338232
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-107392RB-I00
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-116587GB-I00
No data
https://doi.org/10.1080/00949655.2023.2220860
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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