Titlebook: Mathematical Risk Analysis; Dependence, Risk Bou Ludger Rüschendorf Book 2013 The Editor(s) (if applicable) and The Author(s), under exclus

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Restrictions on the Dependence Structureggregate risk when this information is available. One type of restriction we discuss is the restriction to some types of positive dependent distributions. This restriction leads to essential improvements of the bounds, when available.

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Convex Order, Excess of Loss, and Comonotonicityof the excess of loss. Two different approaches to this result are given. The first approach due to Meilijson and Nadas (.) is based on a simple duality argument and uses just a monotonicity property of the inverse distribution function.

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