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A Cautionary Note on Estimating the Standard Error of the Gini Index of Inequality*

2006/05/10 by Reza Modarres, Joseph L. Gastwirth · 1 citation
Mathematics · Social Sciences · #Advanced Statistical Methods and Models #Income, Poverty, and Inequality #Statistical Distribution Estimation and Applications

paper · doi:10.1111/j.1468-0084.2006.00167.x

openalex publication_date 2006/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Abstract We will show that the regression approach to estimating the standard error of the Gini index can produce incorrect results as it does not account for the correlations introduced in the error terms once the data are ordered. To assess the effect of ignoring the correlation in the error terms we examined two distributions and show that the regression method overestimates the standard error of the Gini index. We recommend that the more mathematically complex or computationally intensive methods be used.

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