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...

Consider a portfolio of n identically distributed risks with dependence structure modeled by an Archimedean survival copula. Wüthrich (2003) and Alink et al. (2004) proved that the probability of a large aggregate loss scales like the probability of a large individual loss, times a...

We extend the characterization of the left-monotone risk aversion developed by Ryan (2006) to the case of unbounded random variables. The notion of weak convergence is insufficient for such an extension. It requires the solution of a host of delicate convergence problems. To this end, some...

The Haezendonck–Goovaerts risk measure is based on the premium calculation principle induced by an Orlicz norm, which is defined via an increasing and convex Young function and a parameter q∈(0,1) representing the confidence level. In this paper, we first reestablish the first-order...

Let X1:n=X2:n=...=Xn:n denote the order statistics of random variables X1,X2,...,Xn which are independent but not necessarily identically distributed (INID), and let K1,K2 be two integer-valued random variables, independent of {X1,...,Xn}, such that 1=K1=K2=n. It is shown that if K1 has a...

The quantification of diversification benefits due to risk aggregation has received more attention in the recent literature. In this paper, we establish second-order expansions of the risk concentration based on the risk measure of conditional tail expectation for a portfolio of n independent...