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Definitions of other symbols: ... = sample 2 standard deviation = t statistic = degrees of freedom ¯ = sample mean of differences ...
The mean and the standard deviation of a set of data are descriptive statistics usually reported together. In a certain sense, the standard deviation is a "natural" measure of statistical dispersion if the center of the data is measured about the mean. This is because the standard deviation from the mean is smaller than from any other point.
the sample standard deviation, the sample correlation coefficient, the sample cumulants . Some commonly used symbols for population parameters are given below: the population mean , the population variance ,
Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities. In these contexts, the capital letters and the small letters represent distinct and unrelated entities.
The standard deviation is more amenable to algebraic manipulation than the expected absolute deviation, and, together with variance and its generalization covariance, is used frequently in theoretical statistics; however the expected absolute deviation tends to be more robust as it is less sensitive to outliers arising from measurement ...
In finance, σ is the symbol used to represent volatility of stocks, usually measured by the standard deviation of logarithmic returns. In accounting , Σ indicates the balance of invoice classes and the overall amount of debts and demands.
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Bias in standard deviation for autocorrelated data. The figure shows the ratio of the estimated standard deviation to its known value (which can be calculated analytically for this digital filter), for several settings of α as a function of sample size n. Changing α alters the variance reduction ratio of the filter, which is known to be