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.
Read more about this topic: Bias Of An Estimator
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