Closed-form formulas for the biases of the Theil and Atkinson index estimators in Gamma distributed populations

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.

Publication Details

Journal
ArXiv.org
Published
2025-04-18
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

Closed-form formulas for the biases of the Theil and Atkinson index estimators in Gamma distributed populations

ArXiv.org
Statistical Distribution Estimation and Applications
article

Closed-form formulas for the biases of the Theil and Atkinson index estimators in Gamma distributed populations

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Abstract

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.

ArXiv.org
Openalex Percentile: Top 45%
Statistical Distribution Estimation and Applications
Open Access PDFOpenAlex
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Closed-form formulas for the biases of the Theil and Atkinson index estimators in Gamma distributed populations · ArXiv.org (2025) | TGRS Research Map | TGRS