Artikel
A note on upper tail behavior of Liouville copulas
The family of Liouville copulas is defined as the survival copulas of multivariate Liouville distributions, and it covers the Archimedean copulas constructed by Williamson's d-transform. Liouville copulas provide a very wide range of dependence ranging from positive to negative dependence in the upper tails, and they can be useful in modeling tail risks. In this article, we study the upper tail behavior of Liouville copulas through their upper tail orders. Tail orders of a more general scale mixture model that covers Liouville distributions is first derived, and then tail order functions and tail order density functions of Liouville copulas are derived. Concrete examples are given after the main results.
- Language
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Englisch
- Bibliographic citation
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Journal: Risks ; ISSN: 2227-9091 ; Volume: 4 ; Year: 2016 ; Issue: 4 ; Pages: 1-10 ; Basel: MDPI
- Classification
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Wirtschaft
- Subject
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tail order
tail order functions
tail order density
dirichlet distributions
scale mixtures
- Event
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Geistige Schöpfung
- (who)
-
Hua, Lei
- Event
-
Veröffentlichung
- (who)
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MDPI
- (where)
-
Basel
- (when)
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2016
- DOI
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doi:10.3390/risks4040040
- Handle
- Last update
-
10.03.2025, 11:42 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Artikel
Associated
- Hua, Lei
- MDPI
Time of origin
- 2016
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