On a property of Lorenz curves with monotone elasticity and its application to the study of inequality by using tax data

The Lorenz curve is the most widely used graphical tool for describing and comparing inequality of income distributions. In this paper, we show that the elasticity of this curve is an indicator of the effect, in terms of inequality, of a truncation of the income distribution. As an application, we c...

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Bibliographic Details
Authors: Sordo Díaz, Miguel Ángel; Berihuete Macías, Ángel; Ramos González, Carmen Dolores; Ramos Romero, Héctor Manuel
Format: Article
Publication date:2017
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:176144
Online Access:https://ddd.uab.cat/record/176144
https://dx.doi.org/urn:doi:10.2436/20.8080.02.50
Access Level:Open access
Keyword:Lorenz curve
Tax data
Truncation
Inequality
Description
Summary:The Lorenz curve is the most widely used graphical tool for describing and comparing inequality of income distributions. In this paper, we show that the elasticity of this curve is an indicator of the effect, in terms of inequality, of a truncation of the income distribution. As an application, we consider tax returns as equivalent to the truncation from below of a hypothetical income distribution. Then, we replace this hypothetical distribution by the income distribution obtained from a general household survey and use the dual Lorenz curve to anticipate this effect.