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Spatial Tail Dependence and Survival Stability in a Class of Archimedean Copulas

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  • Diakarya Barro
  • Moumouni Diallo
  • Remi Guillaume Bagré

Abstract

This paper investigates properties of extensions of tail dependence of Archimax copulas to high dimensional analysis in a spatialized framework. Specifically, we propose a characterization of bivariate margins of spatial Archimax processes while spatial multivariate upper and lower tail dependence coefficients are modeled, respectively, for Archimedean copulas and Archimax ones. A property of stability is given using convex transformations of survival copulas in a spatialized Archimedean family.

Suggested Citation

  • Diakarya Barro & Moumouni Diallo & Remi Guillaume Bagré, 2016. "Spatial Tail Dependence and Survival Stability in a Class of Archimedean Copulas," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2016, pages 1-8, July.
    • Handle: RePEc:hin:jijmms:8927248
    DOI: 10.1155/2016/8927248
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    References listed on IDEAS

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    1. Marius Hofert & Matthias Scherer, 2011. "CDO pricing with nested Archimedean copulas," Quantitative Finance, Taylor & Francis Journals, vol. 11(5), pages 775-787.
    2. Charpentier, Arthur & Segers, Johan, 2009. "Tails of multivariate Archimedean copulas," Journal of Multivariate Analysis, Elsevier, vol. 100(7), pages 1521-1537, August.
    3. Charpentier, A. & Fougères, A.-L. & Genest, C. & Nešlehová, J.G., 2014. "Multivariate Archimax copulas," Journal of Multivariate Analysis, Elsevier, vol. 126(C), pages 118-136.
    4. Niall Whelan, 2004. "Sampling from Archimedean copulas," Quantitative Finance, Taylor & Francis Journals, vol. 4(3), pages 339-352.
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