摘要
首先利用复合函数方法提出指数多项式和指数帕累托两个新的洛伦兹曲线模型,对收入分配分组数据进行拟合,得到参数估计值、均方误差、最大绝对误差和平均绝对误差指标值.与已知的10种洛伦兹曲线模型比较可知,所给的两个模型均具有很好的模拟效果.然后分别从几何学和经济学角度重新定义了中等收入人口,解释了定义的原理和相关的经济学意义.最后,分别利用几何直观和基尼系数的思想,给定了两种定义的中等收入人口的测算方法和数学模型.
In this article,two new Lorenz curve models named exponential-polynomial model and exponential-Pareto model are proposed through the method of compound functions,and the models are fitted with the given data.Thus the estimates of the parameters and the value of mean squared error（MSE）,maximal absolute error（MAS）,and mean absolute error（MAE）are got.It can been seen that the models proposed are better fitted with contrast to the other models.Then the population with medium income are redefined from the aspects of Geometry and Economy, and the theory and the related economic meaning are given.In the end,the mathematics methods that how the two models measure the population with medium income using the visual geometries and Gini coefficient are proposed.
出处
《江苏师范大学学报（自然科学版）》
CAS
2014年第1期53-56,共4页
Journal of Jiangsu Normal University：Natural Science Edition
