In this paper we derive new results on multivariate extremes and D-norms. In particular we establish new characterizations of the multivariate max-domain of attraction property. The limit distribution of certain multivariate exceedances above high thresholds is derived, and the distribution of that generator of a D-norm on \({\mathbb R}^{d}\), whose components sum up to d, is obtained. Finally we introduce exchangeable D-norms and show that the set of exchangeable D-norms is a simplex.

中文翻译：

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吸引和D范数的多元极大域的新表征

在本文中，我们得出关于多元极值和D范数的新结果。特别是，我们建立了吸引力属性的多元最大域的新特征。推导了高于高阈值的某些多元超出的极限分布，并获得了D-范数的生成器在\（{\ mathbb R} ^ {d} \）上的分布，其分量总和为d。最后，我们介绍了可交换的D-范数，并证明了可交换的D-范数集是一个单纯形。