The potential of the I(p) inequality curve in the analysis of empirical sistributions

The possibility of analysing the inequality of a frequency distribution through a point measure is undoubtedly an advantage for any socioeconomic research. The Lorenz curve is the cornerstone on which other global inequality measures have been subsequently introduced. Nonetheless, other point inequality measures have been put forward and have, in fact, revived the debate about it. The I(p) inequality measure stands out from these others because of its straightforward interpretation, its ease of computing and its non-predetermined behaviour. Throughout the present study, other positive aspects of the I(p) measure have been pointed out. In particular, we have highlighted its readiness to respond to translation and equalitarian transfers, and we have compared the I(p) curve with the Lorenz curve which does not show a similar response. In order to explain the descriptive and interpretative capacity of I(p), some real cases of Italian income distribution have been analysed. It is very interesting to note how easily the I(p) inequality point measure can graphically show the inequality among different groups of population, and how it can express the effect of the transformations that may occur in income distribution.