In this paper, we study optimal reinsurance treaties that minimize the liability of an insurer. The liability is defined as the actuarial reserve on an insurer's risk exposure plus the risk margin required for the risk exposure. The risk margin is determined by the risk measure of expectile....

Distributionally robust optimization (DRO) has arose as an important paradigm to address the issue of distributional ambiguity in decision optimization. In its standard form, DRO seeks an optimal solution against the worst-possible expected value evaluated based on a set of candidate...

The photocatalytic oxidation of gaseous heavy metals is an efficient approach to alleviate energy crises and environmental pollution. In this work, a novel two-step solvothermal method is designed to synthesize rGO-modified BiOX (X=Cl, I, Br) nanosheets. The modification of rGO significantly...

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...