基于三次Hermite插值与线性规划的Lorenz曲线逼近方法
发布时间：2019-07-25 13:07
【摘要】：Lorenz曲线和Gini系数是收入分配分析的重要工具。文章通过对《中国统计年鉴》2014年发布的城镇和农村分别的收入分配数据进行加总得到全国的Lorenz曲线及Gini系数。具体做法是在已知城镇和农村Lorenz曲线分组数据的基础上,运用线性规划的方法求得的各分割点处的导数值。目的是使得分段Hermite插值后的整体曲线保持为单调上升的光滑凸曲线。利用这种方法首先得到城镇和农村各自的Lorenz曲线,然后再对城镇和农村的Lorenz曲线进行加总得到全国的Lorenz曲线及全国的Gini系数。
[Abstract]:The Lorenz curve and the Gini coefficient are important tools for income distribution analysis. The Lorenz curve and the Gini coefficient of the whole country are obtained by summing up the income distribution data of the urban and rural areas released in the Statistical Yearbook of China in 2014. The method is based on the known urban and rural Lorenz curve packet data, and uses the linear programming method to obtain the guide value at each division point. The objective is to keep the whole curve after the piecewise Hermite interpolation as a smooth convex curve with a monotone rise. The Lorenz curve of the town and the countryside is first obtained by this method, and the Lorenz curve of the whole country and the whole country is then added to the Lorenz curve of the town and the countryside, and the Gini coefficient of the whole country is obtained.
【作者单位】： 吉林大学商学院;吉林大学数学学院;
【基金】：国家自然科学基金资助项目(11271041) 国家留学基金(CSC)资助项目 吉林大学哲学社会科学基金资助项目(2011QY093)
【分类号】：O241.5
，
本文编号：2519103
[Abstract]:The Lorenz curve and the Gini coefficient are important tools for income distribution analysis. The Lorenz curve and the Gini coefficient of the whole country are obtained by summing up the income distribution data of the urban and rural areas released in the Statistical Yearbook of China in 2014. The method is based on the known urban and rural Lorenz curve packet data, and uses the linear programming method to obtain the guide value at each division point. The objective is to keep the whole curve after the piecewise Hermite interpolation as a smooth convex curve with a monotone rise. The Lorenz curve of the town and the countryside is first obtained by this method, and the Lorenz curve of the whole country and the whole country is then added to the Lorenz curve of the town and the countryside, and the Gini coefficient of the whole country is obtained.
【作者单位】： 吉林大学商学院;吉林大学数学学院;
【基金】：国家自然科学基金资助项目(11271041) 国家留学基金(CSC)资助项目 吉林大学哲学社会科学基金资助项目(2011QY093)
【分类号】：O241.5
，
本文编号：2519103
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