— page 584 Further properties of median-unbiased estimators have been reported. Median-unbiased estimators are invariant under one-to-one transformations...

estimated. An estimator or decision rule with zero bias is called unbiased. In statistics, "bias" is an objective property of an estimator. Bias is a distinct...

is equal, the estimator is considered unbiased. This is called an unbiased estimator. The estimator will become a best unbiased estimator if it has minimum...

statistics a minimum-variance unbiased estimator (MVUE) or uniformly minimum-variance unbiased estimator (UMVUE) is an unbiased estimator that has lower variance...

to scalar-valued estimators, it can be extended to any measure of central tendency of a distribution: see median-unbiased estimators. In a practical problem...

grows) as the principal comparison measure. The efficiency of an unbiased estimator, T, of a parameter θ is defined as e ( T ) = 1 / I ( θ ) var ⁡ ( T...

Hodges–Lehmann estimator is a consistent and median-unbiased estimate of the population median. For non-symmetric populations, the Hodges–Lehmann estimator estimates...

mean-unbiased estimator, and the absolute-value loss function results in a median-unbiased estimator (in the one-dimensional case, and a geometric median-unbiased...

the estimator and the squared bias of the estimator, providing a useful way to calculate the MSE and implying that in the case of unbiased estimators, the...

finding the median of the slopes of the lines determined by this more restrictive set of pairs. The Theil–Sen estimator is an unbiased estimator of the true...