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On Risk Modeling in Investment and Actuarial Sciences

並列摘要


We examine the state-of-the-art of modeling financial risks and propose a data-driven construction of risk measures. We take one form of coarse data in economics to suggest such an approach. The observed data are modeled probabilistically as random sets whose distribution functions are Choquet capacities giving rise to risk measures as Choquet integrals, a plausible class of coherent risk measures.

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參考文獻


Artzner, P.,Delbaen, F.,Elber, J. M.,Heath, D.(1999).Coherent measures of risk.Mathematical Finance.9(3),203-228.
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Songsak, S.,Wong, W. K.,Dhompongsa, D.,Nguyen, H.T.(2009).Risk and Economics.Chapman and Hall/CRC Press.

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