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关于洛伦茨曲线与吉尼系数的探讨OA北大核心CSCD

Study on the Lorenz Curve and the Gini Coefficient

中文摘要英文摘要

作者运用数理统计的手段,分析了在经济学中广为应用的描述性曲线-洛伦茨曲线y=L(t)的数理实质,给出其积分表达式,L(t)=(1/Eξ)∫t0F-1(u)du,并在此基础上讨论某些分布的吉尼系数与标准差系数的关系,同时给出一个讨论一般分布函数的吉尼系数的途径:将分布函数展成泰勒级数。

By using methods of mathematical statistics, the essence of Lorenz curve y=L(t),a kind of descriptive curve widely used in economics, was analysed; L(t)=(1/Eξ)∫t0F-1(u)du. Based on this result, the relationship between the Gini coefficient of some distribution and the standard deviation coefficient was discussed, also a method for discussing for general distributions function the Gini coefficient was given, i.e., to the distribution function into a Taylor series.

陈峥

青岛海洋大学,

数学

洛伦茨曲线吉尼系数分布函数标准差系数

《青岛海洋大学学报(自然科学版)》 2001 (3)

455-460,6

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