CAJ | 학술논문

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。
위구조구유고의합정도적락륜자곡선모형，제출량류기우삼각함수적단삼수락륜자곡선모형，진이통과대량류기본락륜자곡선적복합、가권적이급철조합등방식구조일계렬탁전락륜자곡선。실례연구표명，Pareto족곡선여삼각함수형곡선적조합곡선대실제수거적의합정도고우단독사용삼각함수형곡선혹단독사용Pareto족곡선，험증료기우삼각함수적락륜자곡선모형구조시대기유락륜자곡선류형적유효탁전。
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 extensions of the existing ones.