New approach to measuring income inequality

We show that the conventional income inequality indexes assess income inequality incorrectly because of three problems. The unequally distributed (UD) income-based approach solves the problems, decomposes income inequality into two kinds of departure from equality, and provides two indexes. The comp...

Full description

Bibliographic Details
Main Authors: Youngsoon Kim, Joongyang Park, Ae-Jin Ju
Format: Article
Language:English
Published: Elsevier 2024-02-01
Series:Heliyon
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844024025131
_version_ 1797267682242854912
author Youngsoon Kim
Joongyang Park
Ae-Jin Ju
author_facet Youngsoon Kim
Joongyang Park
Ae-Jin Ju
author_sort Youngsoon Kim
collection DOAJ
description We show that the conventional income inequality indexes assess income inequality incorrectly because of three problems. The unequally distributed (UD) income-based approach solves the problems, decomposes income inequality into two kinds of departure from equality, and provides two indexes. The comprehensive assessment of income inequality requires the integration of two kinds of departure. This paper proposes the relative UD (RUD) income-based approach. The RUD income-based approach combines the cumulative distribution function and quantile function of the RUD income and produces a new index integrating two kinds of departure. We investigate the properties of the new index and demonstrate its applicability through example income distributions.
first_indexed 2024-03-07T22:01:18Z
format Article
id doaj.art-912670047baa4a4b8cb26c5f61bb356f
institution Directory Open Access Journal
issn 2405-8440
language English
last_indexed 2024-04-25T01:20:28Z
publishDate 2024-02-01
publisher Elsevier
record_format Article
series Heliyon
spelling doaj.art-912670047baa4a4b8cb26c5f61bb356f2024-03-09T09:28:23ZengElsevierHeliyon2405-84402024-02-01104e26482New approach to measuring income inequalityYoungsoon Kim0Joongyang Park1Ae-Jin Ju2Department of Information and Statistics, Gyeongsang National University, 501 Jinju-daero, Jinju-si, Gyeongsangnam-do, 52828, Republic of KoreaDepartment of Information and Statistics, Gyeongsang National University, 501 Jinju-daero, Jinju-si, Gyeongsangnam-do, 52828, Republic of Korea; Corresponding author.Department of Information and Statistics, Graduate School, Gyeongsang National University, 501 Jinju-daero, Jinju-si, Gyeongsangnam-do, 52828, Republic of KoreaWe show that the conventional income inequality indexes assess income inequality incorrectly because of three problems. The unequally distributed (UD) income-based approach solves the problems, decomposes income inequality into two kinds of departure from equality, and provides two indexes. The comprehensive assessment of income inequality requires the integration of two kinds of departure. This paper proposes the relative UD (RUD) income-based approach. The RUD income-based approach combines the cumulative distribution function and quantile function of the RUD income and produces a new index integrating two kinds of departure. We investigate the properties of the new index and demonstrate its applicability through example income distributions.http://www.sciencedirect.com/science/article/pii/S2405844024025131Cumulative distribution functionIncome inequalityNormProgressive transferQuantile functionUnequally distributed income
spellingShingle Youngsoon Kim
Joongyang Park
Ae-Jin Ju
New approach to measuring income inequality
Heliyon
Cumulative distribution function
Income inequality
Norm
Progressive transfer
Quantile function
Unequally distributed income
title New approach to measuring income inequality
title_full New approach to measuring income inequality
title_fullStr New approach to measuring income inequality
title_full_unstemmed New approach to measuring income inequality
title_short New approach to measuring income inequality
title_sort new approach to measuring income inequality
topic Cumulative distribution function
Income inequality
Norm
Progressive transfer
Quantile function
Unequally distributed income
url http://www.sciencedirect.com/science/article/pii/S2405844024025131
work_keys_str_mv AT youngsoonkim newapproachtomeasuringincomeinequality
AT joongyangpark newapproachtomeasuringincomeinequality
AT aejinju newapproachtomeasuringincomeinequality