Saeed Baghban Kohne Rooz, Mohammad Moradi, Hossein Jabbari Khamnei, Ranking and Selection Procedure for Gini Index, BMSA Volume 3, Bulletin of Mathematical Sciences and Applications (Volume 3)
https://www.scipress.com/BMSA.3.1
Abstract:
    Gini index, which is derived from the Lorenz curve of income inequality and shows income inequality in different populations, can be applied to ranking and selectionpopulations. Many procedures are available for ordering and ranking income distributions where the ordering is not linear. However, the researchers often are not interested in ordering the populations but selecting the best (or worst) of available populations indicating a lower (or higher) level of disparities in incomes within the population. Madhuri S. Mulekar (2005) discussed the estimation of overlap ofincome distributions and selection in terms of Gini Measure of income inequality. In this paper, we simulate populations ranking and selection based on Gini index of income inequality for case that the variances are equal but known in income distributions and for case that the variances are unequal but known in income distributions.
Keywords:
    Gini Index, Indifference Zone, Preference Zone, Probability of Correct Selection, Ranking, Selection, Selection Procedures