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Scale parameter
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==Examples== * The [[Uniform distribution (continuous)|uniform distribution]] can be parameterized with a [[location parameter]] of <math>(a+b)/2</math> and a scale parameter <math>|b-a|</math>. * The [[normal distribution]] has two parameters: a [[location parameter]] <math>\mu</math> and a scale parameter <math>\sigma</math>. In practice the normal distribution is often parameterized in terms of the ''squared'' scale <math>\sigma^2</math>, which corresponds to the [[variance]] of the distribution. * The [[gamma distribution]] is usually parameterized in terms of a scale parameter <math>\theta</math> or its inverse. * Special cases of distributions where the scale parameter equals unity may be called "standard" under certain conditions. For example, if the location parameter equals zero and the scale parameter equals one, the [[normal distribution]] is known as the ''standard'' normal distribution, and the [[Cauchy distribution]] as the ''standard'' Cauchy distribution.
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