Lorenz曲线的“修补”及其应用

The "Revision" and Application of Lorenz Curve

对收入分配不平等的客观性和Lorenz曲线显示收入和财富不平等的分析显示,Gini系数压缩了收入分布中不平等的某些数据,损失了对收入分布深入研究的信息。应用概率统计知识来弥补这一缺陷,并通过数学上的处理对Lorenz曲线进行"修补",可得出"L-C定理"及其推论。应用该定理来解释有关收入分配不平等的现象,有利于对此进行预测与控制。

The analysis of the objectivity of income distribution inequality and the income and wealth inequality revealed by Lorenz curve indicates that Gini coefficient compresses some of the data in income distribution inequality and loses the information for deep research on income distribution. The 'L-C theorem' and its corollaries can be obtained by 'revising' Lorenz curve through probability statistics and mathematical treatment. Applying the theorem in explaining the phenomena related to income distribution inequality can contribute its forecast and control.