Scale Parameter - Examples

Examples

  • The normal distribution has two parameters: a location parameter and a scale parameter . In practice the normal distribution is often parameterized in terms of the squared scale, which corresponds to the variance of the distribution.
  • The gamma distribution is usually parameterized in terms of a scale parameter 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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