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Measuring extremal clustering in time series

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Resumo:The propensity of data to cluster at extreme values is important for risk assessment. For example, heavy rain over time leads to catastrophic floods. The extremal index is a measure of Extreme Values Theory that allows measurement of the degree of high-value clustering in a time series. Inference about the extremal index requires a prior choice of values for tuning parameters, which impacts the efficiency of existing estimators. In this work, we propose an algorithm that avoids these constraints. Performance is evaluated based on simulations. We also illustrate with real data.
Autores principais:Ferreira, Marta Susana
Assunto:Extremal index Extreme values theory Stationary sequences
Ano:2023
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
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author Ferreira, Marta Susana
author_facet Ferreira, Marta Susana
author_role author
contributor_name_str_mv RepositóriUM - Universidade do Minho
country_str PT
creators_json_txt [{\"Person.name\":\"Ferreira, Marta Susana\"}]
datacite.contributors.contributor.contributorName.fl_str_mv RepositóriUM - Universidade do Minho
datacite.creators.creator.creatorName.fl_str_mv Ferreira, Marta Susana
datacite.date.Accepted.fl_str_mv 2023-01-01T00:00:00Z
datacite.date.available.fl_str_mv 2024-01-25T16:23:30Z
datacite.date.embargoed.fl_str_mv 2024-01-25T16:23:30Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Extremal index
Extreme values theory
Stationary sequences
datacite.titles.title.fl_str_mv Measuring extremal clustering in time series
dc.contributor.none.fl_str_mv RepositóriUM - Universidade do Minho
dc.creator.none.fl_str_mv Ferreira, Marta Susana
dc.date.Accepted.fl_str_mv 2023-01-01T00:00:00Z
dc.date.available.fl_str_mv 2024-01-25T16:23:30Z
dc.date.embargoed.fl_str_mv 2024-01-25T16:23:30Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv https://hdl.handle.net/1822/88296
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute (MDPI)
dc.rights.cclincense.fl_str_mv http://creativecommons.org/licenses/by/4.0/
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.rights.copyright.fl_str_mv openAccess
dc.subject.none.fl_str_mv Extremal index
Extreme values theory
Stationary sequences
dc.title.fl_str_mv Measuring extremal clustering in time series
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_6501
description The propensity of data to cluster at extreme values is important for risk assessment. For example, heavy rain over time leads to catastrophic floods. The extremal index is a measure of Extreme Values Theory that allows measurement of the degree of high-value clustering in a time series. Inference about the extremal index requires a prior choice of values for tuning parameters, which impacts the efficiency of existing estimators. In this work, we propose an algorithm that avoids these constraints. Performance is evaluated based on simulations. We also illustrate with real data.
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eu_rights_str_mv openAccess
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fulltext.url.fl_str_mv https://repositorium.uminho.pt/bitstreams/f8f7d7cf-a01c-42f4-8820-c30d4cb1053c/download
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instname_str Universidade do Minho
language eng
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oai_identifier_str oai:repositorium.uminho.pt:1822/88296
organization_str_mv urn:organizationAcronym:repositorium
person_str_mv Ferreira, Marta Susana
publishDate 2023
publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute (MDPI)
reponame_str RepositóriUM - Universidade do Minho
repository_id_str urn:repositoryAcronym:rum
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spelling engMultidisciplinary Digital Publishing Institute (MDPI)porThe propensity of data to cluster at extreme values is important for risk assessment. For example, heavy rain over time leads to catastrophic floods. The extremal index is a measure of Extreme Values Theory that allows measurement of the degree of high-value clustering in a time series. Inference about the extremal index requires a prior choice of values for tuning parameters, which impacts the efficiency of existing estimators. In this work, we propose an algorithm that avoids these constraints. Performance is evaluated based on simulations. We also illustrate with real data.application/pdfporMeasuring extremal clustering in time seriesFerreira, Marta SusanaHostingInstitutionOrganizationalRepositóriUM - Universidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptARTICLENUMBER64ISSNIsPartOf2673-4591DOIIsPartOf10.3390/engproc20230390642024-01-25T16:23:30Z20232024-01-22T09:50:32Z2023-01-01T00:00:00ZHandlehttps://hdl.handle.net/1822/88296http://purl.org/coar/access_right/c_abf2open accessExtremal indexExtreme values theoryStationary sequences703808 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal article2023http://creativecommons.org/licenses/by/4.0/openAccesshttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorium.uminho.pt/bitstreams/f8f7d7cf-a01c-42f4-8820-c30d4cb1053c/download
spellingShingle Measuring extremal clustering in time series
Ferreira, Marta Susana
Extremal index
Extreme values theory
Stationary sequences
status SINGLETON
subject.fl_str_mv Extremal index
Extreme values theory
Stationary sequences
title Measuring extremal clustering in time series
title_full Measuring extremal clustering in time series
title_fullStr Measuring extremal clustering in time series
title_full_unstemmed Measuring extremal clustering in time series
title_short Measuring extremal clustering in time series
title_sort Measuring extremal clustering in time series
topic Extremal index
Extreme values theory
Stationary sequences
topic_facet Extremal index
Extreme values theory
Stationary sequences
url https://hdl.handle.net/1822/88296
visible 1