• and signal processing, a minimum mean square error (MMSE) estimator is an estimation method which minimizes the mean square error (MSE), which is a common...
    41 KB (9,310 words) - 08:40, 13 May 2025
  • In statistics, the mean squared error (MSE) or mean squared deviation (MSD) of an estimator (of a procedure for estimating an unobserved quantity) measures...
    24 KB (3,861 words) - 12:45, 11 May 2025
  • The root mean square deviation (RMSD) or root mean square error (RMSE) is either one of two closely related and frequently used measures of the differences...
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  • The error of an observation is the deviation of the observed value from the true value of a quantity of interest (for example, a population mean). The...
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  • In statistics, mean absolute error (MAE) is a measure of errors between paired observations expressing the same phenomenon. Examples of Y versus X include...
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  • |x]=\int \theta \,p(\theta |x)\,d\theta .} This is known as the minimum mean square error (MMSE) estimator. If there is no inherent reason to prefer one...
    23 KB (3,956 words) - 02:09, 24 July 2025
  • minimum mean square error (MMSE). An efficient estimator need not exist, but if it does and if it is unbiased, it is the MVUE. Since the mean squared...
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  • to measure cognitive impairment Minimum mean square error, an estimation method that minimizes the mean square error Multimedia Messaging Service Environment...
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  • zero. Percentage error Mean absolute percentage error Mean squared error Mean squared prediction error Minimum mean-square error Squared deviations Peak...
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  • sufficient condition for optimality, it can be used to find the minimum mean square error estimator. The orthogonality principle is most commonly used in...
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  • Thumbnail for Gamma distribution
    including the exponential and chi-squared distributions under specific conditions. Its mathematical properties, such as mean, variance, skewness, and higher...
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  • sample. The MISE is also known as L2 risk function. Minimum distance estimation Mean squared error Wand, M. P.; Jones, M. C. (1994). Kernel smoothing....
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  • Thumbnail for Kalman filter
    the Kalman filter is the best possible linear estimator in the minimum mean-square-error sense, although there may be better nonlinear estimators. It is...
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  • Wiener filter (category CS1 errors: ISBN date)
    and a more statistical account of the theory is given in the minimum mean square error (MMSE) estimator article. Typical deterministic filters are designed...
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  • posteriori (MAP) Method of moments, generalized method of moments Minimum mean squared error (MMSE) Particle filter Pitman closeness criterion Sensitivity...
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  • estimator remains unbiased, it is not "best" in the sense of having minimum mean square error, and the OLS variance estimator V ^ [ β ^ O L S ] {\displaystyle...
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  • Thumbnail for Standard error
    The standard error (SE) of a statistic (usually an estimator of a parameter, like the average or mean) is the standard deviation of its sampling distribution...
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  • Thumbnail for Least squares
    the different sources of error in formulating an objective function for use in model-fitting. The minimum of the sum of squares is found by setting the...
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  • Thumbnail for MIMO
    MIMO (category CS1 errors: periodical ignored)
    {\displaystyle {\tilde {\mathbf {x} }}} , through minimizing the mean squared error (MSE), E { ( x ~ − x ) ( x ~ − x ) H } {\displaystyle \mathbb {E}...
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  • estimator will be minimum-variance unbiased estimator (MVUE) for the entire class of unbiased estimators. See also minimum mean squared error (MMSE). The method...
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  • the minimum mean square error (MMSE) estimate for the state of each target. At each time, it maintains its estimate of the target state as the mean and...
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  • finding the filter coefficients that relate to producing the least mean square of the error signal (difference between the desired and the actual signal)....
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  • matrix. As we're restricting to unbiased estimators, minimum mean squared error implies minimum variance. The goal is therefore to show that such an estimator...
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  • Thumbnail for Ordinary least squares
    estimators when the errors are homoscedastic and serially uncorrelated. Under these conditions, the method of OLS provides minimum-variance mean-unbiased estimation...
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  • bound Least squares Minimum mean squared error (MMSE), also known as Bayes least squared error (BLSE) Maximum a posteriori (MAP) Minimum variance unbiased...
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  • include completeness, consistency, sufficiency, unbiasedness, minimum mean square error, low variance, robustness, and computational convenience. Information...
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  • Filtering Signal subspace approach (SSA) Spectral Restoration Minimum Mean-Square-Error Short-Time, Spectral Amplitude Estimator (MMSE-STSA) Speech-Model-Based...
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  • (clinical trials) Minimum chi-square estimation Minimum distance estimation Minimum mean square error Minimum-variance unbiased estimator Minimum viable population...
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  • Thumbnail for Cramér–Rao bound
    Cramér–Rao bound (category CS1 errors: ISBN date)
    solution achieves the lowest possible mean squared error among all unbiased methods, and is, therefore, the minimum variance unbiased (MVU) estimator. However...
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  • been used to filter the signals and improve accuracy, using the minimum mean-square error rule. USBLs are used in "inverted" (iUSBL) configurations, with...
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