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314438

Estimation of Lorenz, Schotz and Champernowne-Pareto Measures of Income Inequality Relative to the Poverty Gab-Ratio for Achieving Social Equality

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Last updated: 28 Dec 2024

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Abstract

The fundamental goal of the paper is to introduce an adequate mathematical solution for achieving social equality through analyzing the relation between income distribution curve and poverty line of a society. This relation would determine how many incomes of population groups fall below poverty line and identify their position among low and medium income classes. Hence some relative measures of income inequality derived from three functional curves of income graduation, namely Lorenz, Schotz and Champernowne-Pareto have been analyzed. Meantime three relative indices of deviations of income disparities from poverty line are estimated. Then an adequate treatment to shift these gaps, are obtained to achieve the social and income equality. Both of the two groups of income and poverty measures are estimated from the Egyptian family data 2008/2009 by fitting the three income curves as well as the poverty line to the household income and expenditure. Hence, some specific statements about poverty rate and the income percentages needed to be transformed from the rich to the poor people have been determined.  

DOI

10.21608/esju.2014.314438

Keywords

Schotz - Champernowne-Pareto, Lorenz - Low and Medium Income Classes - Poverty Gab-Ratio - Social Equality - Income Inequality

Volume

58

Article Issue

1

Related Issue

43134

Issue Date

2014-06-01

Publish Date

2014-06-01

Page Start

30

Page End

58

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314438.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314438

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2

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Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Estimation of Lorenz, Schotz and Champernowne-Pareto Measures of Income Inequality Relative to the Poverty Gab-Ratio for Achieving Social Equality

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Article

Created At

28 Dec 2024