一种收入分布函数序列的拟合方法及扩展应用

Fitting Methods on Income Distribution Functions Series and Its Application

针对收入分布函数形式选择问题,提出具有"自适应"能力的收入分布序列拟合思路,给出基于B-样条的收入分布函数形式,并对收入分布参数进行最小二乘估计。拟合了中国历年城镇居民收入分布序列;导出中国1996-2009年洛伦兹曲线和基尼系数;从函数角度刻画了城镇居民收入水平不断提高的同时,收入差距扩大的动态趋势;验证了城镇居民收入差距的变动轨迹体现着"阶梯形"扩大的特征。

This paper discusses the auto-adapt method for income distribution series fitting according to the issue of distribution functions selection,an income distribution was constructed based on B-spline,and estimated by least squares method.Applications involving urban person＇s income data series between 1996 and 2009 in China were included;income distributions,Lorentz curves and Gini coefficients were estimated according to our methods.Income differential were described from the functional point of view,and the steps features of urban residents income differential were verified.