A family of arctan Lorenz curves

被引：5

作者：

Gomez-Deniz, E. ^{[1
]}

机构：

[1] Univ Las Palmas Gran Canaria, Dept Quantitat Methods Econ, TiDES Inst, Las Palmas De G C 35017, Spain

来源：

EMPIRICAL ECONOMICS | 2016年 / 51卷 / 03期

关键词：

Parametric Lorenz curve; Gini measure; Leimkuhler curve; Pietra measure; FUNCTIONAL FORM; LEIMKUHLER CURVE; GINI;

D O I：

10.1007/s00181-015-1031-y

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

This paper presents a new family of parametric Lorenz curves based on the arctan function and adding a parameter , to an initial Lorenz curve . The particular case obtained when tends to zero is reduced to the initial Lorenz curve . The corresponding distribution functions are shown. Some inequality measures are calculated, and a method to compute the Gini index based on the use of the inverse of the Lorenz curve is proposed. Finally, an application to two well-known data sets is presented and a good fit is obtained.

引用

页码：1215 / 1233

页数：19

共 28 条

[1] ON OPTIMUM STRATIFICATION WITH PROPORTIONAL ALLOCATION FOR A CLASS OF PARETO DISTRIBUTIONS [J].