Summary characteristics for multivariate function-valued spatial point process attributes

Prompted by modern technologies in data acquisition, the statistical analysis of spatially distributed function-valued quantities has attracted a lot of attention in recent years. In particular, combinations of functional variables and spatial point processes yield a highly challenging instance of s...

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Detalhes bibliográficos
Autores: Eckardt, Matthias, Comas Rodríguez, Carles, Mateu, Jorge
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2025
País:España
Recursos:Universitat de Lleida (UdL)
Repositório:Repositori Obert UdL
OAI Identifier:oai:repositori.udl.cat:10459.1/466309
Acesso em linha:https://doi.org/10.1111/insr.12582
https://hdl.handle.net/10459.1/466309
Access Level:Acceso aberto
Palavra-chave:Cross-function mark correlation
Forest monitoring data
Functional-marked point processes
Mark variogram
Mark weighted second order summary characteristics
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spelling Summary characteristics for multivariate function-valued spatial point process attributesEckardt, MatthiasComas Rodríguez, CarlesMateu, JorgeCross-function mark correlationForest monitoring dataFunctional-marked point processesMark variogramMark weighted second order summary characteristicsPrompted by modern technologies in data acquisition, the statistical analysis of spatially distributed function-valued quantities has attracted a lot of attention in recent years. In particular, combinations of functional variables and spatial point processes yield a highly challenging instance of such modern spatial data applications. Indeed, the analysis of spatial random point configurations, where the point attributes themselves are functions rather than scalar-valued quantities, is just in its infancy, and extensions to function-valued quantities still remain limited. In this view, we extend current existing first- and second-order summary characteristics for real-valued point attributes to the case where, in addition to every spatial point location, a set of distinct function-valued quantities are available. Providing a flexible treatment of more complex point process scenarios, we build a framework to consider points with multivariate function-valued marks, and develop sets of different cross-function (cross-type and also multi-function cross-type) versions of summary characteristics that allow for the analysis of highly demanding modern spatial point process scenarios. We consider estimators of the theoretical tools and analyse their behaviour through a simulation study and two real data applications.The authors gratefully acknowledge financial support through the German Research Association and the Spanish Ministry of Science. Matthias Eckardt was funded by the Walter Benjamin grant 467634837 from the Deutsche Forschungsgemeinschaft. Jorge Mateu was partially funded by grant PID2019-107392RB-I00, from the Spanish Ministry of Science. Carles Comas was partially funded by grant PID2020-115442RB-I00 from MCIN/AEI/10.13039/ 501100011033 (Spanish Ministry of Science)Wiley2025info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttps://doi.org/10.1111/insr.12582https://hdl.handle.net/10459.1/466309reponame:Repositori Obert UdL instname:Universitat de Lleida (UdL)Inglésinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-115442RB-I00info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-107392RB-I00Reproducció del document publicat a https://doi.org/10.1111/insr.12582International Statistical Review, 2025, vol. 93, núm. 1, p. 150-178cc-by (c) Matthias Eckardt, Carles Comas, Jorge Mateu, 2025Attribution 4.0 Internationalinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/oai:repositori.udl.cat:10459.1/4663092026-06-24T12:42:17Z
dc.title.none.fl_str_mv Summary characteristics for multivariate function-valued spatial point process attributes
title Summary characteristics for multivariate function-valued spatial point process attributes
spellingShingle Summary characteristics for multivariate function-valued spatial point process attributes
Eckardt, Matthias
Cross-function mark correlation
Forest monitoring data
Functional-marked point processes
Mark variogram
Mark weighted second order summary characteristics
title_short Summary characteristics for multivariate function-valued spatial point process attributes
title_full Summary characteristics for multivariate function-valued spatial point process attributes
title_fullStr Summary characteristics for multivariate function-valued spatial point process attributes
title_full_unstemmed Summary characteristics for multivariate function-valued spatial point process attributes
title_sort Summary characteristics for multivariate function-valued spatial point process attributes
dc.creator.none.fl_str_mv Eckardt, Matthias
Comas Rodríguez, Carles
Mateu, Jorge
author Eckardt, Matthias
author_facet Eckardt, Matthias
Comas Rodríguez, Carles
Mateu, Jorge
author_role author
author2 Comas Rodríguez, Carles
Mateu, Jorge
author2_role author
author
dc.subject.none.fl_str_mv Cross-function mark correlation
Forest monitoring data
Functional-marked point processes
Mark variogram
Mark weighted second order summary characteristics
topic Cross-function mark correlation
Forest monitoring data
Functional-marked point processes
Mark variogram
Mark weighted second order summary characteristics
description Prompted by modern technologies in data acquisition, the statistical analysis of spatially distributed function-valued quantities has attracted a lot of attention in recent years. In particular, combinations of functional variables and spatial point processes yield a highly challenging instance of such modern spatial data applications. Indeed, the analysis of spatial random point configurations, where the point attributes themselves are functions rather than scalar-valued quantities, is just in its infancy, and extensions to function-valued quantities still remain limited. In this view, we extend current existing first- and second-order summary characteristics for real-valued point attributes to the case where, in addition to every spatial point location, a set of distinct function-valued quantities are available. Providing a flexible treatment of more complex point process scenarios, we build a framework to consider points with multivariate function-valued marks, and develop sets of different cross-function (cross-type and also multi-function cross-type) versions of summary characteristics that allow for the analysis of highly demanding modern spatial point process scenarios. We consider estimators of the theoretical tools and analyse their behaviour through a simulation study and two real data applications.
publishDate 2025
dc.date.none.fl_str_mv 2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1111/insr.12582
https://hdl.handle.net/10459.1/466309
url https://doi.org/10.1111/insr.12582
https://hdl.handle.net/10459.1/466309
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-115442RB-I00
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-107392RB-I00
Reproducció del document publicat a https://doi.org/10.1111/insr.12582
International Statistical Review, 2025, vol. 93, núm. 1, p. 150-178
dc.rights.none.fl_str_mv cc-by (c) Matthias Eckardt, Carles Comas, Jorge Mateu, 2025
Attribution 4.0 International
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
rights_invalid_str_mv cc-by (c) Matthias Eckardt, Carles Comas, Jorge Mateu, 2025
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:Repositori Obert UdL
instname:Universitat de Lleida (UdL)
instname_str Universitat de Lleida (UdL)
reponame_str Repositori Obert UdL
collection Repositori Obert UdL
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repository.mail.fl_str_mv
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