Additive decomposability is an interesting feature of inequality indices which, however, is not always fulfilled; solutions to overcome such an issue have been given by Deutsch and Silber (2007) and by Di Maio and Landoni (2017). In this paper, we apply these methods, based on the “Shapley...

The immigrants integration process in Italy is investigated through the analysis of Gini (ANOGI). This methodology has an advantage with respect to the analysis of variance (ANOVA) because it provides a further element: the overlapping index, split in overlapping between and within the groups....

A sampling estimator ( "B" ) of the Bonferroni inequality index based on the Bonferroni curve, is presented. "B" is compared through a simulation study with the percentile estimator and "B" , the estimator that uses weighted observations. It is shown that the "B" estimator, that decomposes the...