In this paper, we show a characterization of upper comonotonicity via tail convex order. For any given marginal distributions, a maximal random vector with respect to tail convex order is proved to be upper comonotonic under suitable conditions. As an application, we consider the computation of...

In this paper, we are interested in the calculation of the Haezendonck–Goovaerts risk measure, which is defined via a convex Young function and a parameter q∈(0,1) representing the confidence level. We mainly focus on the case in which the risk variable follows a distribution function from a...

For a risk variable X and a normalized Young function φ(⋅), the Haezendonck–Goovaerts risk measure for X at level q∈(0,1) is defined as Hq[X]=infx∈R(x+h), where h solves the equation E[φ((X−x)+/h)]=1−q if Pr(Xx)0 or is 0 otherwise. In a recent work, we implemented an asymptotic...