For finite populations with bounded outcomes, the minimax unbiased estimator is the midpoint-differenced Horvitz-Thompson estimator paired with independent sampling probabilities proportional to bound widths.
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Minimax unbiased estimation for finite populations with bounded outcomes
For finite populations with bounded outcomes, the minimax unbiased estimator is the midpoint-differenced Horvitz-Thompson estimator paired with independent sampling probabilities proportional to bound widths.