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Performance Assessment of Sandwich and Block Bootstrap Estimators for Temporally Dependent Bivariate Extremes

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Resumo:Ignoring temporal dependence when modelling sequences of extreme observations yields underestimated standard errors which can lead to inaccurate risk assessment of extreme phenomena such as floods and economic crises. One remedy is to inflate standard errors with sandwich or block bootstrap estimators. In this study, four such standard error estimators are investigated and compared, through simulation, when modelling extremes from bivariate sequences with the logistic extreme-value model. Block bootstrap estimators generally yield the most correct standard errors, but suffer from being computationally intensive and a sandwich estimator might be a good alternative due to relatively good performance and computational cheapness.
Autores principais:Engberg, Alexander
Assunto:block bootstrap sandwich estimator logistic model Hüsler-Reiss model bivariate extremes temporal dependence
Ano:2025
País:Portugal
Tipo de documento:artigo
Tipo de acesso:unknown
Instituição associada:Instituto Nacional de Estatística
Idioma:inglês
Origem:REVSTAT-Statistical Journal
Descrição
Resumo:Ignoring temporal dependence when modelling sequences of extreme observations yields underestimated standard errors which can lead to inaccurate risk assessment of extreme phenomena such as floods and economic crises. One remedy is to inflate standard errors with sandwich or block bootstrap estimators. In this study, four such standard error estimators are investigated and compared, through simulation, when modelling extremes from bivariate sequences with the logistic extreme-value model. Block bootstrap estimators generally yield the most correct standard errors, but suffer from being computationally intensive and a sandwich estimator might be a good alternative due to relatively good performance and computational cheapness.