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The $m$th Gini index estimator: Unbiasedness for gamma populations
Published: April 27, 2025 |
arXiv ID: 2504.19381v1
By: Roberto Vila, Helton Saulo
Potential Business Impact:
Measures fairness in groups more accurately.
Business Areas:
A/B Testing
Data and Analytics
This paper establishes the theoretical result that the sample $m$th Gini index is an unbiased estimator of the population $m$th Gini index, introduced by Gavilan-Ruiz (2024), for gamma-distributed populations. An illustrative Monte Carlo simulation study confirms the unbiasedness of the sample $m$th Gini index estimator in finite samples.
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