Statistical tests for comparisons of spatial and spatio-temporal point patterns

We mainly introduce a new set of tests to compare functional descriptors in point processes context. Firstly, since the study of spatio-temporal point processes has not been widely covered in the literature, a complete review is made. The review is a reference paper of the available techniques and a...

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Detalles Bibliográficos
Autor: González Monsalve, Jonatan A.
Tipo de recurso: tesis doctoral
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:CBUC, CESCA
Repositorio:TDR. Tesis Doctorales en Red
OAI Identifier:oai:www.tdx.cat:10803/462034
Acceso en línea:http://hdl.handle.net/10803/462034
http://dx.doi.org/10.6035/14101.2018.4263065
Access Level:acceso abierto
Palabra clave:Analysis of variance
First-order intensity
Permutation tests
Replicated point patterns
Ripley's K-Function
Space-time point patterns
Matemàtiques
51
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spelling Statistical tests for comparisons of spatial and spatio-temporal point patternsGonzález Monsalve, Jonatan A.Analysis of varianceFirst-order intensityPermutation testsReplicated point patternsRipley's K-FunctionSpace-time point patternsMatemàtiques51We mainly introduce a new set of tests to compare functional descriptors in point processes context. Firstly, since the study of spatio-temporal point processes has not been widely covered in the literature, a complete review is made. The review is a reference paper of the available techniques and approaches regarding the spatio-temporal context. Secondly, a studentized permutation test is developed in the spatio-temporal case. This test is motivated by locations of tornadoes in the U.S. in a period of 36 years. Some tools have been developed as a non-separable estimator of the first-order intensity, which allows a realistic analysis of the phenomenon through the new test. Finally, a factorial two-way design is considered, where the observations are spatial point patterns in presence of replication. This methodology is motivated by a minerals engineering experiment. We develop statistics to test the influence of the factors and the possible interaction effects.Desarrollamos un nuevo conjunto de pruebas para comparar descriptores funcionales en el contexto de procesos puntuales. Puesto que el estudio de los procesos puntuales espacio-temporales no ha sido muy exhaustivo en la literatura, hemos hecho un artículo de resumen. Introducimos un test de permutación para grupos de patrones puntuales espacio-temporales motivado por las ubicaciones de ocurrencias de tornados en EE.UU. durante 36 años. Hemos desarrollado algunas técnicas como la estimación de la intensidad de primer-orden sin suponer separabilidad, lo que permite un tratamiento más realista del fenómeno climático en sí mismo a través del nuevo test.Finalmente, hemos desarrollado algunas técnicas para el análisis de la varianza de experimentos de dos factores en presencia de réplicas cuando las observaciones son patrones puntuales espaciales. Esta metodología está motivada por un experimento de ingeniería de minerales. Desarrollamos algunos estadísticos adecuados para probar la influencia de los factores y su posible interacción.Programa de Doctorat en CiènciesUniversitat Jaume IMateu, JorgeHahn, UteUniversitat Jaume I. Escola de Doctorat201820182018info:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/publishedVersion192 p.application/pdfapplication/pdfhttp://hdl.handle.net/10803/462034http://dx.doi.org/10.6035/14101.2018.4263065TDX (Tesis Doctorals en Xarxa)reponame:TDR. Tesis Doctorales en Redinstname:CBUC, CESCAInglésL'accés als continguts d'aquesta tesi queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-sa/4.0/http://creativecommons.org/licenses/by-sa/4.0/info:eu-repo/semantics/openAccessoai:www.tdx.cat:10803/4620342026-06-14T12:46:07Z
dc.title.none.fl_str_mv Statistical tests for comparisons of spatial and spatio-temporal point patterns
title Statistical tests for comparisons of spatial and spatio-temporal point patterns
spellingShingle Statistical tests for comparisons of spatial and spatio-temporal point patterns
González Monsalve, Jonatan A.
Analysis of variance
First-order intensity
Permutation tests
Replicated point patterns
Ripley's K-Function
Space-time point patterns
Matemàtiques
51
title_short Statistical tests for comparisons of spatial and spatio-temporal point patterns
title_full Statistical tests for comparisons of spatial and spatio-temporal point patterns
title_fullStr Statistical tests for comparisons of spatial and spatio-temporal point patterns
title_full_unstemmed Statistical tests for comparisons of spatial and spatio-temporal point patterns
title_sort Statistical tests for comparisons of spatial and spatio-temporal point patterns
dc.creator.none.fl_str_mv González Monsalve, Jonatan A.
author González Monsalve, Jonatan A.
author_facet González Monsalve, Jonatan A.
author_role author
dc.contributor.none.fl_str_mv Mateu, Jorge
Hahn, Ute
Universitat Jaume I. Escola de Doctorat
dc.subject.none.fl_str_mv Analysis of variance
First-order intensity
Permutation tests
Replicated point patterns
Ripley's K-Function
Space-time point patterns
Matemàtiques
51
topic Analysis of variance
First-order intensity
Permutation tests
Replicated point patterns
Ripley's K-Function
Space-time point patterns
Matemàtiques
51
description We mainly introduce a new set of tests to compare functional descriptors in point processes context. Firstly, since the study of spatio-temporal point processes has not been widely covered in the literature, a complete review is made. The review is a reference paper of the available techniques and approaches regarding the spatio-temporal context. Secondly, a studentized permutation test is developed in the spatio-temporal case. This test is motivated by locations of tornadoes in the U.S. in a period of 36 years. Some tools have been developed as a non-separable estimator of the first-order intensity, which allows a realistic analysis of the phenomenon through the new test. Finally, a factorial two-way design is considered, where the observations are spatial point patterns in presence of replication. This methodology is motivated by a minerals engineering experiment. We develop statistics to test the influence of the factors and the possible interaction effects.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018
2018
dc.type.none.fl_str_mv info:eu-repo/semantics/doctoralThesis
info:eu-repo/semantics/publishedVersion
format doctoralThesis
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10803/462034
http://dx.doi.org/10.6035/14101.2018.4263065
url http://hdl.handle.net/10803/462034
http://dx.doi.org/10.6035/14101.2018.4263065
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv http://creativecommons.org/licenses/by-sa/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-sa/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 192 p.
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universitat Jaume I
publisher.none.fl_str_mv Universitat Jaume I
dc.source.none.fl_str_mv TDX (Tesis Doctorals en Xarxa)
reponame:TDR. Tesis Doctorales en Red
instname:CBUC, CESCA
instname_str CBUC, CESCA
reponame_str TDR. Tesis Doctorales en Red
collection TDR. Tesis Doctorales en Red
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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