洛伦兹曲线的半参数估计

洛伦兹曲线与基尼系数是研究社会收入分配差异的重要工具.社会收入分配是一个复杂的过程,用尽可能精确的曲线给出洛伦兹曲线的估计进而给出基尼系数的估计,历来是统计学者和经济学者的工作目标.基于将参数方法与非参数方法相结合的思想给出洛伦兹曲线的半参数估计,进而导出基尼系数的估计,并据此进行了实证分析.

The Semi Parametric Estimation of Lorenz Curves

Lorenz curves and Gini index are important in dealing with the gap of social income distribution.The allocation of social income is a very complicated process,and it is for decades the goal of statisticians and economists to estimate the Lorenz curves as accurate as possible.This paper is based on the thought of combining parametric approach with nonparametric approach to give the semi parametric approach of Lorenz curves and furthermore the estimation of Gini index.An example with true data is analyzed by the whole approach.