management. This paper proposes an alternative explainable machine learning method, based on Lorenz Zonoids, that is …

Lorenz curves of two income distributions intersect, how the change from one distribution to the other is judged by an … inequality aversion is shown to determine the ranking by the index of two distributions whose Lorenz curves cross once. The … precise condition under which the same result generalizes to the case of multiple-crossing Lorenz curves is also identified …

the bivariate framework, using the Lorenz curve, a well-know tool in wealth inequality studies.We first notice that the … Pickands dependence function is nothing but a Lorenz curve in a particular coordinate system. Once this connection is … established, we can use the representation of the Lorenz curve as integral of the quantile function of positive random variables …

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 … Lorenz-dominates G, and such that F Lorenz-dominates H2 and H2 stochastically dominates G. We also show that generalized …

This paper is concerned with the problem of ranking Lorenz curves in situations where the Lorenz curves intersect and … no unambiguous ranking can be attained without introducing weaker ranking criteria than first-degree Lorenz dominance. To … deal with such situations two alternative sequences of nested dominance criteria between Lorenz curves are introduced. At …