@article{FalkFuller2021, author = {Falk, Michael and Fuller, Timo}, title = {New characterizations of multivariate Max-domain of attraction and D-Norms}, series = {Extremes}, volume = {24}, journal = {Extremes}, number = {4}, issn = {1572-915X}, doi = {10.1007/s10687-021-00416-4}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-269071}, pages = {849-879}, year = {2021}, abstract = {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 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.}, language = {en} }