Journal of Applied Probability

Limiting dependence structures for tail events, with applications to credit derivatives

Arthur Charpentier and Alessandro Juri

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Dependence structures for bivariate extremal events are analyzed using particular types of copula. Weak convergence results for copulas along the lines of the Pickands-Balkema-de Haan theorem provide limiting dependence structures for bivariate tail events. A characterization of these limiting copulas is also provided by means of invariance properties. The results obtained are applied to the credit risk area, where, for intensity-based default models, stress scenario dependence structures for widely traded products such as credit default swap baskets or first-to-default contract types are proposed.

Article information

J. Appl. Probab. Volume 43, Number 2 (2006), 563-586.

First available: 8 July 2006

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 62E20: Asymptotic distribution theory
Secondary: 62H20: Measures of association (correlation, canonical correlation, etc.) 62P05: Applications to actuarial sciences and financial mathematics

Copula credit risk dependent defaults dependent risks extreme value theory regular variation tail dependence


Charpentier, Arthur; Juri, Alessandro. Limiting dependence structures for tail events, with applications to credit derivatives. Journal of Applied Probability 43 (2006), no. 2, 563--586. doi:10.1239/jap/1152413742.

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