TY - JOUR AU - Balbás De La Corte, Alejandro AU - Balbás, Beatriz AU - Balbás Aparicio, Raquel AU - Charron, Jean-Philippe PY - 2023 DO - 10.3390/risks11120220 UR - https://hdl.handle.net/20.500.14352/103784 T2 - Risks AB - Downside risk measures play a very interesting role in risk management problems. In particular, the value at risk (VaR) and the conditional value at risk (CVaR) have become very important instruments to address problems such as risk optimization,... LA - eng PB - MDPI KW - VaR and CVaR KW - Expectile KW - Dual and bidual representations KW - Risk optimization; risk bounds and equalities KW - Risk bounds and equalities TI - Bidual representation of expectiles TY - journal article VL - 11 ER -