Generalised Income Inequality Index
提出了一个依赖两个参数的广义收入不平等指数,能统一多种现有指数,通过调整参数控制对收入分布不同层次的敏感度,帮助研究者同时选择多个指数进行更全面的不平等分析,并给出了有限总体下的两种估计方法。
Summary This paper proposes a deep generalisation for income inequality indices. A generalised income inequality index that depends on two parameters and that involves a large set of income inequality indices in the same framework is proposed. The two parameters control the sensitivity of the generalised index to different levels of the income distribution. A thorough investigation of the generalised index paves the way for understanding the influence of the low, middle and high incomes on various income inequality indices and thereby facilitates the choice of multiple indices simultaneously for a better analysis of inequality as advocated by several recent studies. Moreover, two methods for estimating the generalised index in the case of finite populations are shown. A new method for estimating the inequality indices is proposed.