Closed-form formulas for the biases of the Theil and Atkinson index estimators in Gamma distributed populations
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908326201131008 |
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| author | Vila, Roberto Saulo, Helton |
| author_facet | Vila, Roberto Saulo, Helton |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13806 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Closed-form formulas for the biases of the Theil and Atkinson index estimators in Gamma distributed populations Vila, Roberto Saulo, Helton Methodology 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. |
| title | Closed-form formulas for the biases of the Theil and Atkinson index estimators in Gamma distributed populations |
| topic | Methodology |
| url | https://arxiv.org/abs/2504.13806 |