“Standard Deviation”的概念、定义、习题解题方法及翻译-数学辞典

单词

Standard Deviation

释义

Standard Deviation

The standard deviation is defined as the Square Root of the Variance,

(1)

where

is the Mean and

is the second Moment about 0. The variance

isequal to the second Moment about the Mean,

(2)

The square root of the Sample Variance is the ``sample'' standard deviation,

(3)

It is a Biased Estimator of the population standard deviation. As unbiased Estimator is given by

(4)

Physical scientists often use the term Root-Mean-Square as a synonym for standard deviation when they refer to theSquare Root of the mean squared deviation of a signal from a given baseline or fit.

See also Mean, Moment, Root-Mean-Square, Sample Variance, Standard Error, Variance

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