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Multivariate generalized Pareto distributions: Parametrizations, representations, and properties

Rootzén, Holger, 1945 (author)
Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
Segers, Johan (author)
Universite catholique de Louvain
Wadsworth, Jennifer L. (author)
Lancaster University
 (creator_code:org_t)
Elsevier BV, 2018
2018
English.
In: Journal of Multivariate Analysis. - : Elsevier BV. - 0047-259X .- 1095-7243. ; 165, s. 117-131
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • © 2017 Elsevier Inc. Multivariate generalized Pareto distributions arise as the limit distributions of exceedances over multivariate thresholds of random vectors in the domain of attraction of a max-stable distribution. These distributions can be parametrized and represented in a number of different ways. Moreover, generalized Pareto distributions enjoy a number of interesting stability properties. An overview of the main features of such distributions is given, expressed compactly in several parametrizations, giving the potential user of these distributions a convenient catalogue of ways to handle and work with generalized Pareto distributions.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Datorsystem (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Computer Systems (hsv//eng)
NATURVETENSKAP  -- Data- och informationsvetenskap -- Annan data- och informationsvetenskap (hsv//swe)
NATURAL SCIENCES  -- Computer and Information Sciences -- Other Computer and Information Science (hsv//eng)
NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

Keyword

Exceedances
Linear combination
Maxima
Stable tail dependence function
Tail copula
Tail copula

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ref (subject category)
art (subject category)

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