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the issue of model uncertainty or ambiguity. In this paper, we study the worst-case evaluation of Yaari's dual utility … functionals of an aggregate risk under dependence uncertainty along with its decision-theoretic implications. To arrive at our … with dependence uncertainty are established and, in the presence of conditional joint mixability, they are shown to be …
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Risk measures such as Expected Shortfall (ES) and Value-at-Risk (VaR) have been prominent in banking regulation and financial risk management. Motivated by practical considerations in the assessment and management of risks, including tractability, scenario relevance and robustness, we consider...
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It is natural to connect reinsurance problems with risk measures since a reinsurance contract is an efficient risk management tool for an insurer and the reinsurance premium can also be viewed as a measure of a reinsurer's risk. In this paper, we assume that the insurer uses a law-invariant...
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We bring the recently developed framework of dependence uncertainty into collective risk models, one of the most …) of the aggregate loss in collective risk models, under two settings of dependence uncertainty: (i) the counting random …
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-Debreu equilibrium is established for some simple, yet natural settings. Further, we investigate the problem of model uncertainty in risk …
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