Bounds for the sum of dependent risks having overlapping marginals
We describe several analytical and numerical procedures to obtain bounds on the distribution function of a sum of n dependent risks having fixed overlapping marginals. As an application, we produce bounds on quantile-based risk measures for portfolios of financial and actuarial interest.
Year of publication: |
2010
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Authors: | Embrechts, Paul ; Puccetti, Giovanni |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 101.2010, 1, p. 177-190
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Publisher: |
Elsevier |
Keywords: | Frechet bounds Overlapping marginals Dependent risks Mass transportation theory Copula functions Value-at-Risk |
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