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scale parameter : ウィキペディア英語版
scale parameter

In probability theory and statistics, a scale parameter is a special kind of numerical parameter of a parametric family of probability distributions. The larger the scale parameter, the more spread out the distribution.
==Definition==
If a family of probability distributions is such that there is a parameter ''s'' (and other parameters ''θ'') for which the cumulative distribution function satisfies
:F(x;s,\theta) = F(x/s;1,\theta), \!
then ''s'' is called a scale parameter, since its value determines the "scale" or statistical dispersion of the probability distribution. If ''s'' is large, then the distribution will be more spread out; if ''s'' is small then it will be more concentrated.
If the probability density exists for all values of the complete parameter set, then the density (as a function of the scale parameter only) satisfies
:f_s(x) = f(x/s)/s, \!
where ''f'' is the density of a standardized version of the density.
An estimator of a scale parameter is called an estimator of scale.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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