Bias in Gini coefficient estimation for gamma mixture populations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913779796672512 |
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| author | Vila, Roberto Saulo, Helton |
| author_facet | Vila, Roberto Saulo, Helton |
| contents | This paper examines the properties of the Gini coefficient estimator for gamma mixture populations and reveals the presence of bias. In contrast, we show that sampling from a gamma distribution yields an unbiased estimator, consistent with prior research (Baydil et al., 2025). We derive an explicit bias expression for the Gini coefficient in gamma mixture populations, which serves as the foundation for proposing a bias-corrected Gini estimator. We conduct a Monte Carlo simulation study to evaluate the behavior of the bias-corrected Gini estimator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00690 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bias in Gini coefficient estimation for gamma mixture populations Vila, Roberto Saulo, Helton Methodology 60E05, 62Exx, 62Fxx This paper examines the properties of the Gini coefficient estimator for gamma mixture populations and reveals the presence of bias. In contrast, we show that sampling from a gamma distribution yields an unbiased estimator, consistent with prior research (Baydil et al., 2025). We derive an explicit bias expression for the Gini coefficient in gamma mixture populations, which serves as the foundation for proposing a bias-corrected Gini estimator. We conduct a Monte Carlo simulation study to evaluate the behavior of the bias-corrected Gini estimator. |
| title | Bias in Gini coefficient estimation for gamma mixture populations |
| topic | Methodology 60E05, 62Exx, 62Fxx |
| url | https://arxiv.org/abs/2503.00690 |