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

Datos Bibliográficos

ID2331160
AutoresJuan Francisco Muñoz Rosas (0000-0001-7427-6630, Universidad de Granada, autor de correspondencia), Pablo J Moya-Fernández (0000-0003-0980-3849, Universidad de Granada), Encarnación Álvarez-Verdejo (0000-0002-0473-6037, Universidad de Granada)
Año2025
Volumen54
Número1
Páginas237-274
Fecha de publicación2025-02-01
Peer ReviewedSí
Open AccessSí
TipoARTICLE
RevistaSociological Methods & Research (JOURNAL)
Identificadores de la revistaISSN: 0049-1241 • E-ISSN: 1552-8294
EditorialSAGE Publications Inc (PUBLISHER)
DOI10.1177/00491241231176847
OpenAlexW4378192371
IdiomaEN
Citas recibidas2
Referencias 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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  • Horizontal Inequality and Data Challenges

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Obras citantes distintas2
Citas por año2
Intervalo de citas2025 - 2026 (2)
Velocidad de citacióncurrent
Altamente citadoNo
Tipos de citaNeutras: 2
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