Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/16225
Título: | Tail dependence between order statistics |
Autor(es): | Ferreira, Helena Ferreira, Marta Susana |
Palavras-chave: | Tail dependence Order statistics Measures of tail dependence Multivariate extreme value distribution |
Data: | 2012 |
Editora: | Elsevier 1 |
Revista: | Journal of Multivariate Analysis |
Resumo(s): | In this work, we introduce the s, k-extremal coefficients for studying the tail dependence between the s-th lower and k-th upper order statistics of a normalized random vector. If its margins have tail dependence then so do their order statistics, with the strength of bivariate tail dependence decreasing as two order statistics become farther apart. Some general properties are derived for these dependence measures which can be expressed via copulas of random vectors. Its relations with other extremal dependence measures used in the literature are discussed, such as multivariate tail dependence coefficients, the coefficient of tail dependence, coefficients based on tail dependence functions, the extremal coefficient ., the multivariate extremal index and an extremal coefficient for min-stable distributions. Several examples are presented to illustrate the results, including multivariate exponential and multivariate Gumbel distributions widely used in applications. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/16225 |
DOI: | 10.1016/j.jmva.2011.09.001 |
ISSN: | 0047-259X |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals DMA - Artigos (Papers) |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
tail_dependence_order_statistics_revised.pdf Acesso restrito! | 281,08 kB | Adobe PDF | Ver/Abrir |