A U-statistic estimator for order-statistic inequality indices is exactly unbiased under gamma populations for any sample size and asymptotically unbiased more generally.
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Bias analysis of a linear order-statistic inequality index estimator: Unbiasedness under gamma populations
A U-statistic estimator for order-statistic inequality indices is exactly unbiased under gamma populations for any sample size and asymptotically unbiased more generally.