Tail balancing in a robust mean estimator reduces the sample complexity for (ε,δ)-approximation from 2c²ε^{-2}(1+ε)² ln(2/δ) to 2(c²ε^{-2}+1)(1-ε²)^{-1} ln(2/δ).
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Robust estimation of the mean with bounded relative standard deviation
Tail balancing in a robust mean estimator reduces the sample complexity for (ε,δ)-approximation from 2c²ε^{-2}(1+ε)² ln(2/δ) to 2(c²ε^{-2}+1)(1-ε²)^{-1} ln(2/δ).