Several well-known stochastic orderings are defined in terms of iterated integrals of distribution or survival functions. In this note we will provide necessary conditions for some variability orderings of the above type. These conditions will be based on the comparison of mean differences,...

In many applications, common factors influence a set of failure (or survival) times of interest. This is, for instance, the case in mortality analysis, where mortality is influenced by socio-economic and health factors, or in the analysis of time-to-failure observations, where the items are...