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

Journal of Chuxiong Normal University ›› 2020, Vol. 35 ›› Issue (3): 14-19.

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

ZHU Yong¹, HU Yanling²

1. School of Economics & Management,Chuxiong Normal University,Chuxiong,Yunnan Province 675000;
2. School of Economics & Management,Harbin University of Science & Technology,Harbin,Heilongjiang Province 150080

Received:2020-01-10 Online:2020-05-20 Published:2020-12-28

Abstract

Abstract: 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.

Key words: Lorentz curve, data fitting, construction, evaluation, MATLAB

CLC Number:

F124.7

ZHU Yong, HU Yanling. A Study on Construction and Evaluation of a Model for Lorentz Curve[J]. Journal of Chuxiong Normal University, 2020, 35(3): 14-19.

References

[1] Schader M,Schmid F.Fitting parametric Lorenz curves to grouped income distribution-a critical note[J].Empirical Economics,1994,19(3):361–370.
[2] Ogwang T,Fouranga Tao U L.A new functional form for approximating the Lorenz curve[J].Economics Letters,1996,52(1):21–29.
[3] Ryn H K,Slottje D J.Two flexible functional form approaches for approximating the Lorenz curve[J].Journal of Econometrics,1996,72(1):251–274.
[4] Sarabia J,Castillo E,Pascual M,et al.Mixture Lorenz curves[J].Economics Letters,2005,89(1):89–94.
[5] 张奎,王原君.Sarabia洛伦兹曲线模型的推广[J].应用数学,2010,23(3):501–507.
Zhang K,Wang Y J.A generation of the sarabia Lorenz Model[J].Mathematica Applicata,2010,23(3):501–507.
[6] 邢丽,储昌木,孙娇娇.基于对数组合的一类洛伦兹曲线模型[J].数学的实践与认识,2016,46(5):204–209.
Xing L,Chu C M,Sun J J.A class of Lorenz Curve model with concave and convex combination[J].Mathematics in Practice and Theory,2016,46(5):204–209.
[7] 张转,常安定,岳莎莎,等.基于粒子群优化算法的洛伦兹曲线参数估计及基尼系数的计算[J].科技和产业,2014,14(2):83–87.
Zhang Z,Chang A D,Yue S S,et al.Based on particle swarm optimization algorithm to rstimate parameters of Lorenz Curve and calculation of Gini Coefficient[J].Science Technology and Industry,2014,14(2):83–87.
[8] 周递芝.基于三角函数组合的洛伦兹曲线模型[J].经济研究导刊,2018,(5):13–14.
Zhou D Z.Lorentz Curve model based on the trigonometric function combination[J].Economic Research Guide,2018,(5):13–14.
[9] 俞翰君.洛伦兹曲线的半参数估计[J].统计与信息论坛,2013,28(5):19–24.
Yu H J.The semi parametric estimation of Lorenz Curves[J].Statistics &Information Forum,2013,28(5):19–24.
[10] 韩秀兰,陈星霖.一类与洛伦兹曲线相关的不平等测度指数[J].统计与决策,2017,489(21):18–22.
Han X L,Chen X L,Inequality measurement indices associated with Lorentz Curve[J].Statistics &Decision,2017,489(21):18–22.
[11] 游士兵,王原君.研究收入分配问题的一种新洛伦兹曲线模型:建构与应用[J].经济评论,2014,(2):3–15+27.
You S B,Wang Y J.A new Lorenz Model for income distribution analysis:model construction and application[J].Economic View,2014,(2):3–15+27.
[12] 于忠友.洛伦兹曲线在胜利油田开发中的运用[J].石油地质与工程,2014,28(1):71–73+77+148.
Yu Z Y.Application of Lorenz curve in Shenli oilfield development[J].Petroleum Geology and Engineering,2014,28(1):71–73+77+148.
[13] 林伶,景海权.洛伦兹曲线在微观非均质性研究中的应用[J].复杂油气藏,2016,9(2):15–18.
Lin L,Jing H Q.Application of Lorentz Curves in the research of microscopic heterogeneity[J].Complex Hydrocarbon Reservoirs,2016,9(2):15–18.
[14] 王屹岭.应用洛伦兹曲线评价聚合物驱油层动用状况[J].化学工程与装备,2019,(2):92–94.
Wang Y L.Application of Lorentz Curve to the evaluation of polymer flooding[J].Chemical Engineering &Equipment,2019,(2):92–94.
[15] 刘影,熊悦.基于信息熵与空间洛伦兹曲线土地利用空间结构研究[J].江西师范大学学报(自然科学版),2017,41(5):546–551.
Liu Y,Xiong Y.The study on land use spatial structure based on information entropy and spatial Lorenz Curve[J].Journal of Jiangxi Normal University (Natural Science),2017,41(5):546–551.
[16] 王青,刘招,陶望雄.基于洛伦兹曲线的泾河张家山站径流及降雨分布不均匀性分析[J].水资源与水工程学报,2016,27(1):119–127.
Wang Q,Liu Z,Tao W X.Analysis of heterogenicity of runoff and precipitation distribution at Zhangjiashan station of Jinghe river based on Lorenz Curve[J].Journal of Water Resource &Water Engineering,2016,27(1):119–127.
[17] 卞宏毅.应用Gini系数和Lorenz曲线分析2014年上海市健康教育资源配置公平性[J].健康教育与健康促进,2017,12(2):135–138.
Bian H Y.Analysis on the equity of health education in Shanghai in 2014 by using Gini coefficient and Lorenz Curve[J].Health Education and Health Promotion,2017,12(2):135–138.
[18] 覃成林,种照辉,任建辉.制造业集聚的异质性及影响因素——基于就业洛伦兹曲线及其分解的分析[J].2016,7(2):5–16.
Tan C L,Zhong Z H,Ren J H.The heterogeneity of manufacturing agglomeration and its influencing factors-A study based on employment Lorenz Curves and their decompositions[J].Industrial Economic Review,2016,7(2):5–16.
[19] 王锋.南流江流域水污染排放特征分析——基于KEC与Lorenz曲线[J].人民珠江,2018,39(8):33–36+50.
Wang F.Analysis of water pollution emission characteristics in Nanliu River-Based on KEC and Lorenz Curve[J].Pearl River,2018,39(8):33–36+50.
[20] 杨俊,王佳,张宗益.中国省际碳排放差异与碳减排目标实现[J].环境科学学报,2012,32(8):2016–2023.
Yang J,Wang J,Zhang Z Y.Inter-provincial discrepancy and abatement target achievement in carbon emissions:a study on carbon Lorenz Curve[J].Journal of Environmental Sciences,2012,32(8):2016–2023.
[21] 潘伦,熊燕影,何坪.基于洛伦兹曲线和基尼系数对重庆市主要医疗卫生资源指标的公平性研究[J].重庆医学,2017,32(11):4587–4589.
Pan L,Xiong Y Y,He P.Study on equity of main medical and health resources indicators in Chongqing based on Lorenz Curve and Gini Coefficient[J].Chongqing Medicine,2017,32(11):4587–4589.
[22] Wang,Z X and Smyth R.A hybrid method for creating Lorenz curves with an application to measuring world income inequality[J].Monash University Business and Management,2013,133(7):1–48.

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

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