model are positively dependent through the stochastic ordering (PDS). The PDS risks include independent, comonotonic …, conditionally stochastically increasing (CI) risks, and other interesting dependent risks. By proving the convolution preservation … of the convex order for PDS random vectors, we show that in individualized reinsurance treaties, to minimize certain risk …

The inverse of the (additive) generator of an Archimedean copula is a strictly decreasing and convex function, while … an inverse generator of an Archimedean copula from a utility function. If we derive the inverse of the generator from the …–Pratt coefficient of absolute risk aversion) and the strength of dependence featured by the corresponding Archimedean copula. Some new …