21. But from the above equation we find that the mean squared error of a biased estimator is bounded by 22. Well-established alternatives are the mean absolute scaled error ( MASE ) and the mean squared error . 23. Compared with published values, this calculation has a root mean square error of only 3.7 s. 24. AMBTC is computationally simpler than BTC and also typically results in a lower Mean Squared Error ( MSE ). 25. Other loss functions can be conceived, although the mean squared error is the most widely used and validated. 26. When we use the mean squared error as distortion measure, we have ( for amplitude-continuous signals ): 27. This is to be contrasted with principal component analysis which seeks to minimize the mean square error of all residuals. 28. This forms an unbiased estimate of the variance of the unobserved errors, and is called the mean squared error . 29. It accepts little bias to reduce variance and the mean square error , and helps to improve the prediction accuracy. 30. Two naturally desirable properties of estimators are for them to be unbiased and have minimal mean squared error ( MSE ).
