一种洛伦兹曲线模型的构建与测评研究

A Study on Construction and Evaluation of a Model for Lorentz Curve

收入分配是国家政府部门、普通百姓和学者长期关注的焦点,洛伦兹曲线反映我国收入分配公平情况,对洛伦兹曲线的研究具有很强的实际意义与学术意义。鉴于此,打破常用指数、对数讨论洛伦兹曲线的框架,构建新的洛伦兹曲线模型并采用MATLAB进行数据拟合得出曲线函数,进而采用均方误差(MSE)、平均绝对误差(MAE)和最大绝对误差(MAS)三个评价指标与现有的9个成熟的洛伦兹曲线模型进行对比,比较结果显示新建模型在MSE、MAE和MAS三个指标上都优于其中8个模型,在学术研究和实际应用中具有很强的可操作性。

Lorentz curve is closely related to the fairness of income distribution in China.Income distribution has long been the focus of attention of government departments,ordinary people and scholars.Therefore,this paper breaks the frame of exponential and logarithmic discussion of Lorentz curve,constructs a new Lorentz curve model and uses MATLAB to fit data to get curve function.On this basis,three evaluation indexes,namely,mean square error(MSE),mean absolute error(MAE)and maximum absolute error(MAS),are used to evaluate Lorentz curve.Nine mature Lorentz curve models are compared and the results show that the new model is superior to the other eight of them in the three indicators of MSE,MAE and MAS,which makes it highly operable in academic research and practical application.