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Exploring and Correcting the Bias in the Estimation of the Gini Measure of Inequality

Dados Bibliográficos

ID2331160
AutoresJuan Francisco Muñoz Rosas (0000-0001-7427-6630, Universidad de Granada, autor correspondente), Pablo J Moya-Fernández (0000-0003-0980-3849, Universidad de Granada), Encarnación Álvarez-Verdejo (0000-0002-0473-6037, Universidad de Granada)
Ano2025
Volume54
Fascículo1
Páginas237-274
Data de publicação2025-02-01
Peer ReviewedSim
Open AccessSim
TipoARTICLE
PeriódicoSociological Methods & Research (JOURNAL)
Identificadores do periódicoISSN: 0049-1241 • E-ISSN: 1552-8294
EditoraSAGE Publications Inc (PUBLISHER)
DOI10.1177/00491241231176847
OpenAlexW4378192371
IdiomaEN
Citações recebidas2
Referências citadas48

The Gini index is probably the most commonly used indicator to measure inequality. For continuous distributions, the Gini index can be computed using several equivalent formulations. However, this is not the case with discrete distributions, where controversy remains regarding the expression to be used to estimate the Gini index. We attempt to bring a better understanding of the underlying problem by regrouping and classifying the most common estimators of the Gini index proposed in both infinite and finite populations, and focusing on the biases. We use Monte Carlo simulation studies to analyse the bias of the various estimators under a wide range of scenarios. Extremely large biases are observed in heavy-tailed distributions with high Gini indices, and bias corrections are recommended in this situation. We propose the use of some (new and traditional) bootstrap-based and jackknife-based strategies to mitigate this bias problem. Results are based on continuous distributions often used in the modelling of income distributions. We describe a simulation-based criterion for deciding when to use bias corrections. Various real data sets are used to illustrate the practical application of the suggested bias corrected procedures

Data mining · Distribution (mathematics) · Econometrics · Economic inequality · Estimator · Gini coefficient · Index (typography) · Inequality · Jackknife resampling · Measure (data warehouse) · Monte Carlo method · Range (aeronautics) · Statistics · Computer Science · Fiscal Policy and Economic Growth · Global Health Care Issues · Income, Poverty, and Inequality · Mathematics

  • A Practical Guide to Proper Estimation and Inference of the Gini Index by Avoiding often Encountered Methodological Pitfalls

    Open Access•Juan Francisco Muñoz Rosas, José Manuel Pavía Miralles et al.•Social Indicators Research•2026

  • Racial Disparities in Childhood Exposure to Neurotoxic Air Pollution

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  • On Estimating the Poverty Gap and the Poverty Severity Indices With Auxiliary Information

    Open Access•Juan Francisco Muñoz Rosas, J F Muñoz et al.•Sociological Methods & Research•2018

  • Decomposing the Gini Inequality Index

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Obras citantes distintas2
Citações por ano2
Intervalo de citações2025 - 2026 (2)
Velocidade de citaçãocurrent
Altamente citadoNão
Tipos de citaçãoNeutras: 2
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