基于三角函数的洛伦兹曲线模型构造研究

为构造具有高拟合精度的洛伦兹曲线模型，提出两类基于三角函数的单参数洛伦兹曲线模型，进而通过对两类基本洛伦兹曲线的复合、加权积以及凸组合等方式构造一系列拓展洛伦兹曲线。实例研究表明，Pareto族曲线与三角函数型曲线的组合曲线对实际数据的拟合精度高于单独使用三角函数型曲线或单独使用Pareto族曲线，验证了基于三角函数的洛伦兹曲线模型构造是对既有洛伦兹曲线类型的有效拓展。...

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Bibliographic Details
Published in计算机应用研究 Vol. 31; no. 11; pp. 3273 - 3280
Main Author 丁恒 李延来 熊升华 陈振颂
Format Journal Article
LanguageChinese
Published 西南交通大学 综合交通运输智能化国家地方联合工程实验室，成都 610031 2014
西南交通大学 交通运输与物流学院
Subjects
三角函数
洛伦兹序
洛伦兹曲线模型
组合曲线
Lorenz curves
combined curves
Lorenz ordering
洛伦兹曲线模型
三角函数
trigonometric functions
组合曲线
洛伦兹序
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ISSN1001-3695
DOI10.3969/j.issn.1001-3695.2014.11.018

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Summary:为构造具有高拟合精度的洛伦兹曲线模型，提出两类基于三角函数的单参数洛伦兹曲线模型，进而通过对两类基本洛伦兹曲线的复合、加权积以及凸组合等方式构造一系列拓展洛伦兹曲线。实例研究表明，Pareto族曲线与三角函数型曲线的组合曲线对实际数据的拟合精度高于单独使用三角函数型曲线或单独使用Pareto族曲线，验证了基于三角函数的洛伦兹曲线模型构造是对既有洛伦兹曲线类型的有效拓展。
Bibliography:51-1196/TP
Lorenz curves; combined curves; trigonometric functions; Lorenz ordering
DING Heng, LI Yan-lai, XIONG Sheng-hua, CHEN Zhen-song （ a. School of Transportation ＆ Logistics, b. Nation ＆ Region Combined Engineering Laboratory of lntelligentizing Integrated Transportation, Southwest Jiaotong University, Chengdu 610031, China）
To construct Lorenz curves of high fitting precision,this paper put forward two single-parameter models for Lorenz curves.Furthermore,it constructed a set of extended Lorenz curves by means of ways of such as compound,the weighted prod-uct and the convex combination,etc.based on the two proposed models.An illustration example shows that,compared with u-tilizing the Lorenz curves of trigonometric forms or the Lorenz curves of Pareto distribution separately,the Lorenz curves gener-ated by the combination the Lorenz curves of trigonometric forms and the Lorenz curves of Pareto distribution have higher fitting precision,which verify the Lorenz curves of trigonometric forms are effective e
ISSN:1001-3695
DOI:10.3969/j.issn.1001-3695.2014.11.018