Extreme value distributions for dependent jointly l n,p -symmetrically distributed random variables

Abstract: A measure-of-cone representation of skewed continuous ln,p-symmetric distributions, n ∈ N, p > 0, is proved following the geometric approach known for elliptically contoured distributions. On this basis, distributions of extreme values of n dependent random variables are derived if the latter follow a joint continuous ln,p-symmetric distribution. Light, heavy, and extremely far tails as well as tail indices are discussed, and new parameters of multivariate tail behavior are introduced.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Extreme value distributions for dependent jointly l n,p -symmetrically distributed random variables ; volume:4 ; number:1 ; year:2016 ; extent:33
Dependence modeling ; 4, Heft 1 (2016) (gesamt 33)

Creator
Müller, K.
Richter, W.-D.

DOI
10.1515/demo-2016-0002
URN
urn:nbn:de:101:1-2411181541044.854423047113
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:36 AM CEST

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Associated

  • Müller, K.
  • Richter, W.-D.

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