Characterization of distributions by properties of truncated Gini index and mean difference. (English) Zbl 1302.62025

Summary: 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.


62E10 Characterization and structure theory of statistical distributions
62N05 Reliability and life testing
62P20 Applications of statistics to economics
91B82 Statistical methods; economic indices and measures


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