论文标题
中心向外的多输出洛伦兹曲线和吉尼指数量度运输方法
Center-Outward Multiple-Output Lorenz Curves and Gini Indices a measure transportation approach
论文作者
论文摘要
基于测量的运输思想和中央外向函数的相关概念，我们提出了传统的洛伦兹和浓度函数的单变量概念的多输出中心概括，以及相关的Gini和Kakwani系数。这些新概念具有自然的解释，要么就中央（“中产阶级”）地区的贡献来期望某些感兴趣的变量，要么就工作和能量的物理观念而言，这对经济和社会不平等的本质阐明了新的启示。重要的是，提出的概念为基于多个变量，分位数和分位区域的统计良好定义铺平了道理的方式，以及高相关性的“中产阶级”的概念 在各种社会经济背景下。
Based on measure transportation ideas and the related concepts of center-outward quantile functions, we propose multiple-output center-outward generalizations of the traditional univariate concepts of Lorenz and concentration functions, and the related Gini and Kakwani coefficients. These new concepts have a natural interpretation, either in terms of contributions of central ("middle-class") regions to the expectation of some variable of interest, or in terms of the physical notions of work and energy, which sheds new light on the nature of economic and social inequalities. Importantly, the proposed concepts pave the way to statistically sound definitions, based on multiple variables, of quantiles and quantile regions, and the concept of "middle class," of high relevance in various socio-economic contexts.
