Title
Multivariate generalized Pareto distributions: Parametrizations, representations, and properties.
Abstract
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.
Year
DOI
Venue
2018
10.1016/j.jmva.2017.12.003
Journal of Multivariate Analysis
Keywords
Field
DocType
62G32,62E15
Statistical parameter,Stability (probability),Linear combination,Parametrization,Multivariate statistics,Generalized Pareto distribution,Heavy-tailed distribution,Statistics,Maxima,Mathematics
Journal
Volume
ISSN
Citations 
165
0047-259X
1
PageRank 
References 
Authors
0.55
3
3
Name
Order
Citations
PageRank
Holger Rootzén121.38
Johan Segers24110.37
Jennifer L. Wadsworth310.55