caa a22 4500 605463719 CHVBK 20210128100254.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10687-014-0204-y doi (NATIONALLICENCE)springer-10.1007/s10687-014-0204-y The space of D -norms revisited [Elektronische Daten] [Stefan Aulbach, Michael Falk, Maximilian Zott] The theory of D-norms is an offspring of multivariate extreme value theory. We present recent results on D-norms, which are completely determined by a certain random vector called generator. In the first part it is shown that the space of D-norms is a complete separable metric space, if equipped with the Wasserstein-metric in a suitable way. Secondly, multiplying a generator with a doubly stochastic matrix yields another generator. An iteration of this multiplication provides a sequence of D-norms and we compute its limit. Finally, we consider a parametric family of D-norms, where we assume that the generator follows a symmetric Dirichlet distribution. This family covers the whole range between complete dependence and independence. Springer Science+Business Media New York, 2014 Multivariate extreme value theory nationallicence Max-stable distributions nationallicence D -norm nationallicence Generator of D -norm nationallicence Doubly stochastic matrix nationallicence Dirichlet distribution nationallicence Dirichlet D -norm nationallicence Aulbach Stefan Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074, Würzburg, Germany aut Falk Michael Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074, Würzburg, Germany aut Zott Maximilian Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074, Würzburg, Germany aut Extremes Springer US; http://www.springer-ny.com 18/1(2015-03-01), 85-97 1386-1999 18:1<85 2015 18 10687 https://doi.org/10.1007/s10687-014-0204-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10687-014-0204-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aulbach Stefan Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074, Würzburg, Germany aut NATIONALLICENCE 700 1- Falk Michael Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074, Würzburg, Germany aut NATIONALLICENCE 700 1- Zott Maximilian Institute of Mathematics, University of Würzburg, Emil-Fischer-Str. 30, 97074, Würzburg, Germany aut NATIONALLICENCE 773 0- Extremes Springer US; http://www.springer-ny.com 18/1(2015-03-01), 85-97 1386-1999 18:1<85 2015 18 10687