基于凹凸组合的一类洛伦兹曲线模型
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引用本文:储昌木, 邢丽,田应福.基于凹凸组合的一类洛伦兹曲线模型[J].经济数学,2015,(2):93-96
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储昌木, 邢丽,田应福 (贵州民族大学 理学院贵州 贵阳550025) 
中文摘要:为了统计和分析一个国家和地区的收入分配情况,经济学界往往通过入户调查获得家庭收入与消费等数据,采用洛伦兹曲线模型来进行数据拟合.洛伦兹曲线模型拟合效果的好坏,直接影响着收入分配的描述.本文构建了一类凹凸组合的洛伦兹曲线模型,并针对19个国家的收入分配数据进行了实证分析.结果显示该模型具有较好的拟合效果,其基尼系数能较好地描述收入分配现状,对反映和监测居民之间的贫富差距具有重要意义.
中文关键词:数理经济学  洛伦兹曲线  基尼系数  凹凸组合
 
A Class of Lorenz Curve Model with Concave and Convex Combination
Abstract:In order to analyze and make statistics about a national and regional income distribution situation, the economics often obtain the income and consumption data through household surveys, and carry out data fitting by using the Lorenz curve model. And the Lorenz curve model fitting effect directly affects the description of the income distribution. This paper constructed a class of Lorentz curve model involving concave and convex combination, and carried on the empirical analysis by using the income distribution data of 19 countries. The results show that the model has good fitting effect. The Gini coefficient can well describe the income distribution situation. As a result, the model is of great significance to reflect and monitor the gap between the rich and poor residents.
keywords:mathematical economics  lorenz curve  gini coefficient  concave and convex combination
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