Asymptotic dependence of bivariate maxima

The Ledford and Tawn model for the bivariate tail incorporates a coefficient, $\eta$, as a measure of pre-asymptotic dependence between the marginals. However, in the limiting bivariate extreme value model, $G$, of suitably normalized component-wise maxima, it is just a shape parameter without refle...

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Detalhes bibliográficos
Autor principal: Ferreira, Helena (author)
Outros Autores: Ferreira, Marta Susana (author)
Formato: article
Idioma:eng
Publicado em: 2019
Assuntos:
Texto completo:http://hdl.handle.net/1822/61561
País:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/61561
Descrição
Resumo:The Ledford and Tawn model for the bivariate tail incorporates a coefficient, $\eta$, as a measure of pre-asymptotic dependence between the marginals. However, in the limiting bivariate extreme value model, $G$, of suitably normalized component-wise maxima, it is just a shape parameter without reflecting any description of the dependency in $G$. Under some local dependence conditions, we consider an index that describes the pre-asymptotic dependence in this context. We analyze some particular cases considered in the literature and illustrate with examples. A small discussion on inference is presented at the end.