Value-at-Risk (VaR) and Conditional Tail Expectation (CTE) are the two most frequently applied risk measures in quantitative risk management. Recently, expectile has also attracted much attention as a risk measure due to its elicitability property. This paper establishes empirical likelihood...

Tail Mean-Variance (TMV) has emerged from the actuarial community as a criterion for risk management and portfolio selection, with a focus on extreme losses. The existing literature on portfolio optimization under the TMV criterion relies on the plug-in approach that substitutes the unknown mean...