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The $m$th Gini index estimator: Unbiasedness for gamma populations

Methodology 2025-04-29 v1

Abstract

This paper establishes the theoretical result that the sample mmth Gini index is an unbiased estimator of the population mmth Gini index, introduced by Gavilan-Ruiz (2024), for gamma-distributed populations. An illustrative Monte Carlo simulation study confirms the unbiasedness of the sample mmth Gini index estimator in finite samples.

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Cite

@article{arxiv.2504.19381,
  title  = {The $m$th Gini index estimator: Unbiasedness for gamma populations},
  author = {Roberto Vila and Helton Saulo},
  journal= {arXiv preprint arXiv:2504.19381},
  year   = {2025}
}

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12 pages