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