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...
| Authors: | ; ; |
|---|---|
| Format: | Article |
| Status: | Published version |
| Publication date: | 2025 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10459.1/466309 |
| Online Access: | https://doi.org/10.1111/insr.12582 https://hdl.handle.net/10459.1/466309 |
| Access Level: | Open access |
| Keyword: | Cross-function mark correlation Forest monitoring data Functional-marked point processes Mark variogram Mark weighted second order summary characteristics |
| _version_ | 1878730165533540352 |
|---|---|
| author | Eckardt, Matthias |
| author2 | Comas Rodríguez, Carles Mateu, Jorge |
| author2_role | author author |
| author_browse | Comas Rodríguez, Carles Eckardt, Matthias Mateu, Jorge |
| author_facet | Eckardt, Matthias Comas Rodríguez, Carles Mateu, Jorge |
| author_role | author |
| collection | Recercat. Dipósit de la Recerca de Catalunya |
| 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_16bae3ddfa912e5b0ea2e9959ff5e1b6 |
| institution | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| instname_str | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:recercat.cat:10459.1/466309 |
| publishDate | 2025 |
| publishDateSort | 2025 |
| publisher | Wiley |
| publisherStr | Wiley |
| reponame_str | Recercat. Dipósit de la Recerca de Catalunya |
| spelling | Summary characteristics for multivariate function-valued spatial point process attributes Eckardt, Matthias Comas Rodríguez, Carles Mateu, Jorge Cross-function mark correlation Forest monitoring data Functional-marked point processes Mark variogram Mark weighted second order summary characteristics 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. 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) Wiley https://doi.org/10.1111/insr.12582 https://hdl.handle.net/10459.1/466309 |
| 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 |
| status_str | publishedVersion |
| title | 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_short | Summary characteristics for multivariate function-valued spatial point process attributes |
| title_sort | Summary characteristics for multivariate function-valued spatial point process attributes |
| topic | Cross-function mark correlation Forest monitoring data Functional-marked point processes Mark variogram Mark weighted second order summary characteristics |
| topic_facet | Cross-function mark correlation Forest monitoring data Functional-marked point processes Mark variogram Mark weighted second order summary characteristics |
| url | https://doi.org/10.1111/insr.12582 https://hdl.handle.net/10459.1/466309 |