论文标题
关于基于傅立叶的不平等指数
On Fourier-based inequality indices
论文作者
论文摘要
不平等指数最初开发的是用于衡量财富度量的异质性，是定量分数，在单位间隔中以值为单位，零分数表征了完美的平等。在本文中，我们根据傅立叶变换提请人们注意新的不平等指数，该傅立叶变换具有许多有趣的属性，使其在应用中非常有前途。作为一种副产品，可以表明，包括Gini和Pietra指数在内的其他不平等措施可以根据傅立叶变换来富有成果表达，这允许以新的简单方式启发性能。
Originally developed for measuring the heterogeneity of wealth measures, inequality indices are quantitative scores that take values in the unit interval, with the zero score characterizing perfect equality. In this paper, we draw attention to a new inequality index, based on the Fourier transform, which exhibits a number of interesting properties that make it very promising in applications. As a by-product, it is shown that other inequality measures, including Gini and Pietra indices can be fruitfully expressed in terms of the Fourier transform, which allows to enlighten properties in a new and simple way.
