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The Expected Shortfall (ES) is one of the most important regulatory risk measures in finance, insurance, and statistics …, which has recently been characterized via sets of axioms from perspectives of portfolio risk management and statistics … the special role of ES in insurance and actuarial science. To fill this gap, we study characterization of risk measures …
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realistic but unjustifiable, dependence structures. The trade-off between validity and efficiency of these methods is studied …
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We address the problem of risk sharing among agents using a two-parameter class of quantile-based risk measures, the so …-called Range-Value-at-Risk (RVaR), as their preferences. The family of RVaR includes the Value-at-Risk (VaR) and the Expected … Shortfall (ES), the two popular and competing regulatory risk measures, as special cases. We first establish an inequality for …
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