刻度参数:一个所谓的定位参数,它使一种类型的概率分布 族参数化.R上的一个分布函数为F的分布称为与另 一分布函数为F。的确定分布属于同一类型,如果 F(x)=F。((x一b)/a).这里a>O就是尺度参 数,而b则是位移参数(或中心化参数).
刻度函数,亦称尺度函数。
一个所谓的定位参数,它使一种类型的概率分布 族参数化.R上的一个分布函数为F的分布称为与另 一分布函数为F。的确定分布属于同一类型,如果 F(x)=F。((x一b)/a).这里a>O就是尺度参 数,而b则是位移参数(或中心化参数).
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.
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
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
where f is the density of a standardized version of the density.
An estimator of a scale parameter is called an estimator of scale