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A new regression-based tail index estimator

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Resumo:A new regression-based approach for the estimation of the tail index of heavy-tailed distributions with several important properties is introduced. First, it provides a bias reduction when compared to available regression-based methods; second, it is resilient to the choice of the tail length used for the estimation of the tail index; third, when the effect of the slowly varying function at infinity of the Pareto distribution vanishes slowly, it continues to perform satisfactorily; and fourth, it performs well under dependence of unknown form. An approach to compute the asymptotic variance under time dependence and conditional heteroskcedasticity is also provided.
Autores principais:Nicolau, João
Outros Autores:Rodrigues, Paulo M. M.
Assunto:Regression-based Approach Pareto-type Model Monte Carlo Simulation Heteroskcedasticity
Ano:2019
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade de Lisboa
Idioma:inglês
Origem:Repositório da Universidade de Lisboa
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author Nicolau, João
author2 Rodrigues, Paulo M. M.
author2_role author
author_facet Nicolau, João
Nicolau, João
Rodrigues, Paulo M. M.
Rodrigues, Paulo M. M.
author_role author
contributor_name_str_mv Repositório Científico de Acesso Aberto da ULisboa
country_str PT
creators_json_str [{\"Person.name\":\"Nicolau, João\"},{\"Person.name\":\"Rodrigues, Paulo M. M.\"}]
datacite.contributors.contributor.contributorName.fl_str_mv Repositório Científico de Acesso Aberto da ULisboa
datacite.creators.creator.creatorName.fl_str_mv Nicolau, João
Rodrigues, Paulo M. M.
datacite.date.Accepted.fl_str_mv 2019-01-01T00:00:00Z
datacite.date.available.fl_str_mv 2023-03-24T10:18:26Z
datacite.date.embargoed.fl_str_mv 2023-03-24T10:18:26Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Regression-based Approach
Pareto-type Model
Monte Carlo Simulation
Heteroskcedasticity
datacite.titles.title.fl_str_mv A new regression-based tail index estimator
dc.contributor.none.fl_str_mv Repositório Científico de Acesso Aberto da ULisboa
dc.creator.none.fl_str_mv Nicolau, João
Rodrigues, Paulo M. M.
dc.date.Accepted.fl_str_mv 2019-01-01T00:00:00Z
dc.date.available.fl_str_mv 2023-03-24T10:18:26Z
dc.date.embargoed.fl_str_mv 2023-03-24T10:18:26Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv http://hdl.handle.net/10400.5/27504
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv Harvard College and the Massachusetts Institute of Technology
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.subject.none.fl_str_mv Regression-based Approach
Pareto-type Model
Monte Carlo Simulation
Heteroskcedasticity
dc.title.fl_str_mv A new regression-based tail index estimator
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_6501
description A new regression-based approach for the estimation of the tail index of heavy-tailed distributions with several important properties is introduced. First, it provides a bias reduction when compared to available regression-based methods; second, it is resilient to the choice of the tail length used for the estimation of the tail index; third, when the effect of the slowly varying function at infinity of the Pareto distribution vanishes slowly, it continues to perform satisfactorily; and fourth, it performs well under dependence of unknown form. An approach to compute the asymptotic variance under time dependence and conditional heteroskcedasticity is also provided.
dirty 0
eu_rights_str_mv openAccess
format article
fulltext.url.fl_str_mv https://repositorio.ulisboa.pt/bitstreams/fb255e36-1eb0-41a2-b6c7-7aaff3647f7e/download
id ul_c2e47296a97e24b5c8d8f577503ba0a5
identifier.url.fl_str_mv http://hdl.handle.net/10400.5/27504
instacron_str ul
institution Universidade de Lisboa
instname_str Universidade de Lisboa
language eng
network_acronym_str ul
network_name_str Repositório da Universidade de Lisboa
oai_identifier_str oai:repositorio.ulisboa.pt:10400.5/27504
organization_str_mv urn:organizationAcronym:ul
person_str_mv Nicolau, João
Rodrigues, Paulo M. M.
publishDate 2019
publisher.none.fl_str_mv Harvard College and the Massachusetts Institute of Technology
reponame_str Repositório da Universidade de Lisboa
repository_id_str urn:repositoryAcronym:ul
service_str_mv urn:repositoryAcronym:ul
spelling engHarvard College and the Massachusetts Institute of Technologypt_PTA new regression-based approach for the estimation of the tail index of heavy-tailed distributions with several important properties is introduced. First, it provides a bias reduction when compared to available regression-based methods; second, it is resilient to the choice of the tail length used for the estimation of the tail index; third, when the effect of the slowly varying function at infinity of the Pareto distribution vanishes slowly, it continues to perform satisfactorily; and fourth, it performs well under dependence of unknown form. An approach to compute the asymptotic variance under time dependence and conditional heteroskcedasticity is also provided.application/pdfpt_PTA new regression-based tail index estimatorNicolau, JoãoRodrigues, Paulo M. M.HostingInstitutionOrganizationalRepositório Científico de Acesso Aberto da ULisboae-mailmailto:repositorio@reitoria.ulisboa.ptrepositorio@reitoria.ulisboa.ptDOIIsPartOf10.1162/rest_a_007682023-03-24T10:18:26Z20192019-01-01T00:00:00ZHandlehttp://hdl.handle.net/10400.5/27504http://purl.org/coar/access_right/c_abf2open accessRegression-based ApproachPareto-type ModelMonte Carlo SimulationHeteroskcedasticity878191 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorio.ulisboa.pt/bitstreams/fb255e36-1eb0-41a2-b6c7-7aaff3647f7e/download
spellingShingle A new regression-based tail index estimator
A new regression-based tail index estimator
Nicolau, João
Regression-based Approach
Pareto-type Model
Monte Carlo Simulation
Heteroskcedasticity
Nicolau, João
Regression-based Approach
Pareto-type Model
Monte Carlo Simulation
Heteroskcedasticity
status SINGLETON
subject.fl_str_mv Regression-based Approach
Pareto-type Model
Monte Carlo Simulation
Heteroskcedasticity
title A new regression-based tail index estimator
title_full A new regression-based tail index estimator
title_fullStr A new regression-based tail index estimator
A new regression-based tail index estimator
title_full_unstemmed A new regression-based tail index estimator
A new regression-based tail index estimator
title_short A new regression-based tail index estimator
title_sort A new regression-based tail index estimator
topic Regression-based Approach
Pareto-type Model
Monte Carlo Simulation
Heteroskcedasticity
topic_facet Regression-based Approach
Pareto-type Model
Monte Carlo Simulation
Heteroskcedasticity
url http://hdl.handle.net/10400.5/27504
visible 1