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Mean signed deviation : ウィキペディア英語版
Mean signed deviation

In statistics, the mean signed difference, deviation, or error (MSD or MSE) is a sample statistic that summarises how well an estimator \hat matches the quantity \theta that it is supposed to estimate. It is one of a number of statistics that can be used to assess an estimation procedure, and it would often be used in conjunction with a sample version of the mean square error.
==Definition==

The mean signed difference is derived from a set of ''n'' pairs, ( \hat_i,\theta_i), where \hat_i is an estimate of the parameter \theta in a case where it is known that \theta=\theta_i. In many applications, all the quantities \theta_i will share a common value. When applied to forecasting in a time series analysis context, a forecasting procedure might be evaluated using the mean signed difference, with \hat_i being the predicted value of a series at a given lead time and \theta_i being the value of the series eventually observed for that time-point. The mean signed difference is defined to be
:\operatorname(\hat) = \sum^_ \frac} .

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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