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Abstract：
We show that the conventional income inequality indexes assess income inequality incorrectly because of three problems. The unequally distributed (UD) income-based approach solves the problems, decomposes income inequality into two kinds of departure from equality, and provides two indexes. The comprehensive assessment of income inequality requires the integration of two kinds of departure. This paper proposes the relative UD (RUD) income-based approach. The RUD income-based approach combines the cumulative distribution function and quantile function of the RUD income and produces a new index integrating two kinds of departure. We investigate the properties of the new index and demonstrate its applicability through example income distributions.
摘要：
我们表明，由于三个问题，传统的收入不平等指数评估收入不平等是错误的。基于不均匀分布(UD)收入的方法解决了这些问题，将收入不平等分解为两种对平等的背离，并提供两个索引。对收入不平等的综合评估需要整合两种出发。本文提出了基于相对UD(RUD)收益的方法。基于RUD收入的方法结合了RUD收入的累积分布函数和分位数函数，并产生了一种新的指标，融合了两种出发。我们研究了新指数的属性，并通过示例收入分配来证明其适用性。
