Bias of An Estimator - Bias With Respect To Other Loss Functions

Bias With Respect To Other Loss Functions

Any mean-unbiased minimum-variance estimator minimizes the risk (expected loss) with respect to the squared-error loss function, as observed by Gauss. A median-unbiased estimator minimizes the risk with respect to the absolute loss function, as observed by Laplace. Other loss functions are used in statistical theory, particularly in robust statistics.

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