We consider 1927 borrowers from 54 countries who had a credit rating by both Moody's and S&P at the end of 1998, and their subsequent default history up to the end of 2002. Viewing bond ratings as predicted probabilities of default, we consider partial orderings among competing probability...

We decompose the generalized Lorenz order into a size and a distribution component. The former is represented by stochastic dominance, the latter by the standard Lorenz order. We show that it is always possible, given generalized Lorenz dominance between two distributions F and G, to find...

We show that a recent appendix to the Gini-coefficient to make the latter more sensitive to asymmetric income distributions can be viewed as an abstract measure of skewness. We develop some of its properties and apply it to the US-income distribution in 1974 and 2010.