Testing extreme value copulas to estimate the quantile

We generalize the test proposed by Kojadinovic, Segers and Yan which is used for testing whether the data belongs to the family of extreme value copulas. We prove that the generalized test can be applied whatever the alternative hypothesis. We also study the effect of using different extreme value c...

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Detalhes bibliográficos
Autores: Bahraoui, Zuhair, Bolancé, Catalina|||0000-0002-5982-1538, Pérez-Marín, Ana M..
Formato: artículo
Fecha de publicación:2014
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:118912
Acesso em linha:https://ddd.uab.cat/record/118912
Access Level:acceso abierto
Palavra-chave:Extreme value copula
Extreme value distributions
Quantile
Descrição
Resumo:We generalize the test proposed by Kojadinovic, Segers and Yan which is used for testing whether the data belongs to the family of extreme value copulas. We prove that the generalized test can be applied whatever the alternative hypothesis. We also study the effect of using different extreme value copulas in the context of risk estimation. To measure the risk we use a quantile. Our results have been motivated by a bivariate sample of losses from a real database of auto insurance claims.