| 一种收入分布函数序列的拟合方法及扩展应用 |
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| 引用本文： | 黄恒君,刘黎明.一种收入分布函数序列的拟合方法及扩展应用[J].统计与信息论坛,2011(12):14-18. |
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| 作者姓名： | 黄恒君 刘黎明 |
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| 作者单位： | 首都经济贸易大学统计学院; |
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| 基金项目： | 国家社会科学基金项目《中国现行社会福利保障制度下城镇贫困人口的统计研究》(11BTJ002); 首都经济贸易大学博士研究生科技创新项目《社会保障与税收对中等收入群体的影响研究》(CUEB2010533) |
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| 摘 要： | 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。
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| 关 键 词： | 收入分布拟合 样条 洛伦兹曲线 函数型数据分析 |
Fitting Methods on Income Distribution Functions Series and Its Application |
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| HUANG Heng-jun,LIU Li-ming.Fitting Methods on Income Distribution Functions Series and Its Application[J].Statistics & Information Tribune,2011(12):14-18. |
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| Authors: | HUANG Heng-jun LIU Li-ming |
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| Institution: | HUANG Heng-jun,LIU Li-ming(Dept.of Statistics,Capital University of Economics and Business,Beijing 100026,China) |
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| Abstract: | 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... |
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| Keywords: | income distribution fitting spline lorentz curve functional data analysis |
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