On the capacity of the Gini index to represent income distributions. (English) Zbl 1436.62689
Summary: Almost all governmental and international agencies use the Gini index to summarize income inequality in a nation or the world. The index has been criticized because it can have the same value for two different distributions. It will be seen that other commonly used summary measures of inequality are subject to the same criticism. The Gini index has the advantage that it is able to distinguish between two distributions that have identical integer valued generalized entropy measures. Because no single measure can fully summarize a distribution, researchers should consider combining the Gini index with another measure appropriate for the topic being studied.
MSC:
| 62P20 | Applications of statistics to economics |
| 62G30 | Order statistics; empirical distribution functions |
| 62B10 | Statistical aspects of information-theoretic topics |
Keywords:
generalized entropy measures; Gini index; Lorenz curve; measures of income inequality; Pareto distribution; moment problemReferences:
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