Publicação
Asymptotic dependence of bivariate maxima
| 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. |
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| Autores principais: | Ferreira, Helena |
| Outros Autores: | Ferreira, Marta Susana |
| Assunto: | Extreme value theory Stationary sequences Asymptotic dependence Dependence conditions |
| Ano: | 2019 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| 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. |
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