In statistics and econometrics, the mean log deviation (MLD) is a measure of income inequality. The MLD is zero when everyone has the same income, and takes larger positive values as incomes become more unequal, especially at the high end.
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In statistics and econometrics, the meanlogdeviation (MLD) is a measure of income inequality. The MLD is zero when everyone has the same income, and...
the geometric standard deviation (GSD) describes how spread out are a set of numbers whose preferred average is the geometric mean. For such data, it may...
the standard deviation is a measure of the amount of variation of a random variable expected about its mean. A low standard deviation indicates that...
(CV), also known as normalized root-mean-square deviation (NRMSD), percent RMS, and relative standard deviation (RSD), is a standardized measure of dispersion...
related to the given data set. AAD includes the mean absolute deviation and the median absolute deviation (both abbreviated as MAD). Several measures of...
is the standard deviation of its sampling distribution or an estimate of that standard deviation. If the statistic is the sample mean, it is called the...
arithmetic mean in this case, the parameters μlog and σlog can be estimated from the arithmetic mean (m) and standard deviation (s.d.) as: μ log = ln (...
are frequently used (e.g. the Atkinson index or the Theil Index and Meanlogdeviation as special cases of the generalized entropy index). These measures...
estimation of a standard deviation is the calculation from a statistical sample of an estimated value of the standard deviation (a measure of statistical...
Arithmetic-geometric mean Generalized mean Geometric mean theorem Geometric standard deviation Harmonic mean Heronian mean Heteroscedasticity Log-normal distribution...
related to the mean squared error, the equivalent for mean absolute error is least absolute deviations. MAE is not identical to root-mean square error (RMSE)...
the lower end of the distribution. It is also referred to as the meanlogdeviation measure. GE(1) = Theil's T and is more sensitive to differences at...
number for which the residuals (deviations from the estimate) sum to zero. This can also be interpreted as saying that the mean is translationally invariant...
The mean absolute percentage error (MAPE), also known as mean absolute percentage deviation (MAPD), is a measure of prediction accuracy of a forecasting...
the strictly standardized mean difference (SSMD) is a measure of effect size. It is the mean divided by the standard deviation of a difference between two...
data set than the standard deviation. In the standard deviation, the distances from the mean are squared, so large deviations are weighted more heavily...
Arithmetic-geometric mean Arithmetic-harmonic mean Cesàro mean Chisini mean Contraharmonic mean Elementary symmetric mean Geometric-harmonic mean Grand mean Heinz mean Heronian...
income inequality metrics as special cases. For example, GE(0) is the meanlogdeviation, GE(1) is the Theil index, and GE(2) is half the squared coefficient...
where it's below its mean, when t < 0), is rt standard deviations above the mean of Y. Since |r| ≤ 1, Y is no farther from the mean than X is, as measured...
In mathematics, the harmonic mean is one of several kinds of average, and in particular, one of the Pythagorean means. It is sometimes appropriate for...
number of standard deviations by which the value of a raw score (i.e., an observed value or data point) is above or below the mean value of what is being...
In probability theory, the theory of large deviations concerns the asymptotic behaviour of remote tails of sequences of probability distributions. While...
genetic condition Masking Level Difference, see Auditory masking Meanlogdeviation in statistics and econometrics Mixed layer depth in hydrography Multicast...
the mean or expectation of the distribution (and also its median and mode), while the parameter σ {\displaystyle \sigma } is its standard deviation. The...
squared displacement, or mean square fluctuation) is a measure of the deviation of the position of a particle with respect to a reference position over...
centered on the mean) by the range (c − a), linearly for the meandeviation and nonlinearly for the variance: (meandeviation around mean) ( Y ) = {\displaystyle...
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