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Estimating the tail index: another algorithmic method

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Detalhes bibliográficos
Resumo:The tail index is a determinant parameter within extreme value theory. Under a semiparametric approach, one has often to choose the number of the largest order statistics to include in estimates. This is a hard task since it is not possible to know for sure where the tail of data really begins. This crucial topic has been largely addressed in literature and several methods were developed. In this paper we analyze, through simulation, a heuristic method and compare it with two very popular methodologies. It will be seen that the new method can be a good alternative.
Autores principais:Ferreira, Marta Susana
Assunto:Extreme value theory Hill estimator Generalized Hill estimator
Ano:2015
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
Descrição
Resumo:The tail index is a determinant parameter within extreme value theory. Under a semiparametric approach, one has often to choose the number of the largest order statistics to include in estimates. This is a hard task since it is not possible to know for sure where the tail of data really begins. This crucial topic has been largely addressed in literature and several methods were developed. In this paper we analyze, through simulation, a heuristic method and compare it with two very popular methodologies. It will be seen that the new method can be a good alternative.