Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/313190 
Authors: 
Year of Publication: 
2022
Citation: 
[Journal:] Finance and Stochastics [ISSN:] 1432-1122 [Volume:] 26 [Issue:] 4 [Publisher:] Springer Berlin Heidelberg [Year:] 2022 [Pages:] 825-875
Publisher: 
Springer Berlin Heidelberg
Abstract: 
Abstract In financial and actuarial applications, marginal risks and their dependence structure are often modelled separately. While it is sometimes reasonable to assume that the marginal distributions are ‘known’, it is usually quite involved to obtain information on the copula (dependence structure). Therefore copula models used in practice are quite often only rough guesses. For many purposes, it is thus relevant to know whether certain characteristics derived from d-variate risks are robust with respect to (at least small) deviations in the copula. In this article, a general concept of copula robustness is introduced and criteria for copula robustness are presented. These criteria are illustrated by means of several examples from quantitative risk management. The concept of aggregation robustness introduced by Embrechts et al. (Finance Stoch. 19:763–790, 17 ) can be embedded in our framework of copula robustness.
Subjects: 
Copula
Fréchet class
Lp-weak topology
Risk measure
Portfolio optimisation
Persistent Identifier of the first edition: 
Additional Information: 
C02;C60;G11
Creative Commons License: 
cc-by Logo
Document Type: 
Article
Document Version: 
Published Version
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