The New Measures of Lorenz Curve Asymmetry: Formulation and Hypothesis Testing

被引：0

作者：

Fajar M. ^{[1
,2
]}

Setiawan S. ^{[1
]}

Iriawan N. ^{[1
]}

机构：

[1] Department of Statistics, Faculty of Science and Data Analytics, Institut Teknologi Sepuluh Nopember, Surabaya

[2] Badan Pusat Statistik-Statistics Indonesia, Jakarta

来源：

Decision Making: Applications in Management and Engineering | 2024年 / 7卷 / 01期

关键词：

Asymmetry; Bootstrap; Hypothesis; Income inequality; Lorenz curve; Measure;

D O I：

10.31181/dmame712024875

中图分类号：

学科分类号：

摘要：

The existence of an asymmetric empirical Lorenz curve requires a measure of asymmetry that directly involves the geometry of the Lorenz curve as a component of its formulation. Therefore, establishing hypothesis testing for Lorenz curve asymmetry is necessary to conclude whether the Lorenz curve exhibits symmetry in actual data. Consequently, this study aims to construct a measure of Lorenz curve asymmetry that utilizes the area and perimeter elements of the inequality subzones as its components and establish a procedure for hypothesis testing the symmetry of the Lorenz curve. This study proposes two types of asymmetry measures, ℛA and ℛP, constructed based on the ratio of area and perimeter obtained from the inequality subzone. These measures effectively capture the asymmetric phenomenon of the Lorenz curve and provide an economic interpretation of the values of ℛA and ℛP. The Lorenz curve symmetry hypothesis testing, based on ℛA and ℛP through a nonparametric bootstrap, yields reliable results when applied to actual data. © 2023 by the authors; licensee Learning Gate.

引用

页码：99 / 130

页数：31

共 46 条

[31]

Deloitte Consumer Insights Capturing Indonesia’s latent markets, (2015)

[32]

Powell J. A., Six policies to reduce economic inequality, (2014)

[33]

Six Charts Explain South Africa’s Inequality, (2020)

[34]

South Africa: Bridging the Income Divide, (2020)

[35]

Leibbrandt M. V., Wegner Eva., Finn Arden, The policies for reducing income inequality and poverty in South Africa (64), (2011)

[36]

Reducing inequalities in South Africa, (2019)

[37]

Policy Interventions, Skilled Jobs Can Reduce Inequality in South Africa, (2018)

[38]

In Southern Africa, Leveling the Playing Field at Birth Critical to Reducing Inequality, Intergenerational Poverty, (2022)

[39]

Finner H., Gontscharuk V., Two-sample kolmogorov-smirnov-type tests revisited: Old and new tests in terms of local levels, Annals of Statistics, 46, 6A, pp. 3014-3037, (2018)

[40]

Coronel-Brizio H. F., Hernandez-Montoya A. R., The Anderson-Darling test of fit for the power-law distribution from left-censored samples, Physica A: Statistical Mechanics and Its Applications, 389, 17, pp. 3508-3515, (2010)

← 1 2 3 4 5 →