, Volume 12, Issue 2, pp 107-127
Date: 27 Sep 2008

Multivariate extremes and the aggregation of dependent risks: examples and counter-examples

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Properties of risk measures for extreme risks have become an important topic of research. In the present paper we discuss sub- and superadditivity of quantile based risk measures and show how multivariate extreme value theory yields the ideal modeling environment. Numerous examples and counter-examples highlight the applicability of the main results obtained.