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Closed-form formulas for the biases of the Theil and Atkinson index estimators in Gamma distributed populations
Published: April 18, 2025 |
arXiv ID: 2504.13806v1
By: Roberto Vila, Helton Saulo
Potential Business Impact:
Fixes math tools that measure fairness.
Business Areas:
A/B Testing
Data and Analytics
This paper presents an analysis of the Theil and Atkinson index estimators for gamma populations, highlighting the presence of bias in both cases. Theoretical expressions for the biases are obtained, and bias-corrected estimators are constructed and evaluated through simulation studies.
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