Weighted Approximations of Tail Copula Processes with Application to Testing the Bivariate Extreme Value Condition

Consider n i.i.d. random vectors on ${\Bbb R}^{2}$ , with unknown, common distribution function F. Under a sharpening of the extreme value condition on F, we derive a weighted approximation of the corresponding tail copula process. Then we construct a test to check whether the extreme value conditio...

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Bibliographische Detailangaben
Veröffentlicht in:The Annals of Statistics. - Institute of Mathematical Statistics. - 34(2006), 4, Seite 1987-2014
1. Verfasser: Einmahl, John H. J. (VerfasserIn)
Weitere Verfasser: de Haan, Laurens, Li, Deyuan
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2006
Zugriff auf das übergeordnete Werk:The Annals of Statistics
Schlagworte:Dependence structure Goodness-of-fit test Bivariate extreme value theory Tail copula process Weighted approximation Mathematics Philosophy