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Multiline aggregate XL-reinsurance
Šuchová, Martina ; Mazurová, Lucie (advisor) ; Cipra, Tomáš (referee)
This paper focuses on simulation modeling of the total aggregate reinsurer claim S when considering XL.reinsurance for multiple insurance lines. In the first part, this re- insurance structure is defined. In the second part of the paper, the collective model is approached, as well as the definition of copulas (comonotony copula, independence co- pula, Clayton's or Gumbelt's copula), and Sklar's theorem. The last part discusses a simulation study that shows the simulation of aggregate claims when considering inde- pendence as well as dependence of insurance industries. The simulation study outlines the theoretical approach in the introduction, explaining the heuristic algorithm it uses in simulating dependent industries. The conclusion of the study depicts one of the practical applications, and the outputs of the simulations. 1
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