An income inequality index number, which assigns a single numerical value to the income distribution, cannot summarize … the complete information in the distribution. We propose a family of inequality index curves, which includes curves … generated by popular inequality index numbers (e.g. the top income shares, the Gini coefficient, the single parameter Gini …

different distributions.To circumvent the above limitations, this paper proposes a new index which can make comparison between … any groups with different income level, for example, the richest group and the poorest group. The new index provides … different values for different distributions and different parts of any distributions. The new index satisfies the axioms of …