This paper notes that Gini's concept of "Transvariazione" corresponds to the idea of overlapping of distributions. It shows that this concept is implicit in some measures of income inequality such as the Pietra and Gini Index and is at the basis of various measures of distance between...

pt. 1. Deprivation, happiness and well-being -- pt. 2. Polarization -- pt. 3. Distributional change and mobility -- pt. 4. On the decomposition of income and wage inequality -- pt. 5. Individual well-being and poverty.