# Mean-square error

Mean-square error
Mean Mean, a. [OE. mene, OF. meiien, F. moyen, fr. L. medianus that is in the middle, fr. medius; akin to E. mid. See {Mid}.] 1. Occupying a middle position; middle; being about midway between extremes. [1913 Webster]

Being of middle age and a mean stature. --Sir. P. Sidney. [1913 Webster]

2. Intermediate in excellence of any kind. [1913 Webster]

According to the fittest style of lofty, mean, or lowly. --Milton. [1913 Webster]

3. (Math.) Average; having an intermediate value between two extremes, or between the several successive values of a variable quantity during one cycle of variation; as, mean distance; mean motion; mean solar day. [1913 Webster]

{Mean distance} (of a planet from the sun) (Astron.), the average of the distances throughout one revolution of the planet, equivalent to the semi-major axis of the orbit.

{Mean error} (Math. Phys.), the average error of a number of observations found by taking the mean value of the positive and negative errors without regard to sign.

{Mean-square error}, or {Error of the mean square} (Math. Phys.), the error the square of which is the mean of the squares of all the errors; -- called also, {mean square deviation}, {mean error}.

{Mean line}. (Crystallog.) Same as {Bisectrix}.

{Mean noon}, noon as determined by mean time.

{Mean proportional} (between two numbers) (Math.), the square root of their product.

{Mean sun}, a fictitious sun supposed to move uniformly in the equator so as to be on the meridian each day at mean noon.

{Mean time}, time as measured by an equable motion, as of a perfect clock, or as reckoned on the supposition that all the days of the year are of a mean or uniform length, in contradistinction from apparent time, or that actually indicated by the sun, and from sidereal time, or that measured by the stars. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

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• mean-square error — vidutinė kvadratinė paklaida statusas T sritis fizika atitikmenys: angl. mean square error; root mean square error vok. mittlerer quadratischer Fehler, m rus. среднеквадратическая погрешность, f pranc. erreur quadratique moyenne, f …   Fizikos terminų žodynas

• mean-square error — vidutinė kvadratinė paklaida statusas T sritis automatika atitikmenys: angl. mean square error vok. mittlerer quadratischer Fehler, m rus. среднеквадратичная ошибка, f pranc. écart quadratique moyen, m; erreur quadratique moyenne, f …   Automatikos terminų žodynas

• Minimum mean square error — In statistics and signal processing, a minimum mean square error (MMSE) estimator describes the approach which minimizes the mean square error (MSE), which is a common measure of estimator quality. The term MMSE specifically refers to estimation… …   Wikipedia

• root-mean-square error — vidutinė kvadratinė paklaida statusas T sritis fizika atitikmenys: angl. mean square error; root mean square error vok. mittlerer quadratischer Fehler, m rus. среднеквадратическая погрешность, f pranc. erreur quadratique moyenne, f …   Fizikos terminų žodynas

• Mean squared error — In statistics, the mean squared error (MSE) of an estimator is one of many ways to quantify the difference between values implied by a kernel density estimator and the true values of the quantity being estimated. MSE is a risk function,… …   Wikipedia

• Mean percentage error — In statistics, the mean percentage error (MPE) is the computed average of percentage errors by which estimated forecasts differ from actual values of the quantity being forecast. Formula for mean percentage error calculation is: where at is the… …   Wikipedia

• Error of the mean square — Mean Mean, a. [OE. mene, OF. meiien, F. moyen, fr. L. medianus that is in the middle, fr. medius; akin to E. mid. See {Mid}.] 1. Occupying a middle position; middle; being about midway between extremes. [1913 Webster] Being of middle age and a… …   The Collaborative International Dictionary of English

• mean square deviation — Mean Mean, a. [OE. mene, OF. meiien, F. moyen, fr. L. medianus that is in the middle, fr. medius; akin to E. mid. See {Mid}.] 1. Occupying a middle position; middle; being about midway between extremes. [1913 Webster] Being of middle age and a… …   The Collaborative International Dictionary of English

• Mean square weighted deviation — is used extensively in geochronology, the science of obtaining information about the time of formation of, for example, rocks, minerals, bones, corals, or charcoal, or the time at which particular processes took place in a rock mass, for example… …   Wikipedia

• Mean square quantization error — (MSQE) is a figure of merit for the process of analog to digital conversion. As the input is varied, the input s value is recorded when the digital output changes. For each digital output, the input s difference from ideal is normalized to the… …   Wikipedia