Characterization of distributions by properties of truncated Gini index and mean difference

The right truncated Gini index and mean difference are useful tools in the analysis of incomes and the left truncated versions of these functions can be employed in reliability modelling. In this paper we identify the distributions characterized by simple functional forms of these measures and also by relationships they have with poverty measures and reliability functions. Finally, we provide an application of proposed results in modelling statistical data. Copyright Sapienza Università di Roma 2012