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In statistics, the Box–Cox distribution (also known as the power-normal distribution) is the distribution of a random variable X for which the Box–Cox transformation on X follows a truncated normal distribution. It is a continuous probability distribution having probability density function (pdf) given by
In statistics, a power transform is a family of functions applied to create a monotonic transformation of data using power functions.It is a data transformation technique used to stabilize variance, make the data more normal distribution-like, improve the validity of measures of association (such as the Pearson correlation between variables), and for other data stabilization procedures.
The parameter q represents the degree of non-extensivity of the distribution. ... proposed by George Box and David Cox in 1964. [2] q-exponential
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He offered the following critique of Wikipedia’s article on the Box-Cox distribution: Wikipedia defines the Box-Cox distribution as “the distribution of a random variable X for which the Box–Cox transformation on X follows a truncated normal distribution.” The truncated-normal variate is defined as Y, which is the Box-Cox transformation ...
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The exponential distribution is recovered as . Originally proposed by the statisticians George Box and David Cox in 1964, [2] and known as the reverse Box–Cox transformation for =, a particular case of power transform in statistics.
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