基于三次Hermite插值與線性規(guī)劃的Lorenz曲線逼近方法
發(fā)布時間:2019-07-25 13:07
【摘要】:Lorenz曲線和Gini系數(shù)是收入分配分析的重要工具。文章通過對《中國統(tǒng)計年鑒》2014年發(fā)布的城鎮(zhèn)和農(nóng)村分別的收入分配數(shù)據(jù)進行加總得到全國的Lorenz曲線及Gini系數(shù)。具體做法是在已知城鎮(zhèn)和農(nóng)村Lorenz曲線分組數(shù)據(jù)的基礎上,運用線性規(guī)劃的方法求得的各分割點處的導數(shù)值。目的是使得分段Hermite插值后的整體曲線保持為單調(diào)上升的光滑凸曲線。利用這種方法首先得到城鎮(zhèn)和農(nóng)村各自的Lorenz曲線,然后再對城鎮(zhèn)和農(nóng)村的Lorenz曲線進行加總得到全國的Lorenz曲線及全國的Gini系數(shù)。
[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.
【作者單位】: 吉林大學商學院;吉林大學數(shù)學學院;
【基金】:國家自然科學基金資助項目(11271041) 國家留學基金(CSC)資助項目 吉林大學哲學社會科學基金資助項目(2011QY093)
【分類號】:O241.5
,
本文編號: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.
【作者單位】: 吉林大學商學院;吉林大學數(shù)學學院;
【基金】:國家自然科學基金資助項目(11271041) 國家留學基金(CSC)資助項目 吉林大學哲學社會科學基金資助項目(2011QY093)
【分類號】:O241.5
,
本文編號:2519103
本文鏈接:http://sikaile.net/kejilunwen/yysx/2519103.html
最近更新
教材專著