The power distribution is a continuous probability distribution with probability density function given by:

subject to the following conditions:

The power variate with scale parameter 1 and shape parameter c is related to the Beta variate with first scale parameter c and second scale parameter 1 by Power(1,c) ~ Beta(c,1).

The power variate with scale parameter b and shape parameter 1 is equivalent to the Uniform variate with lower bound parameter 0 and upper bound parameter b: Power(b,1) ~ Uniform(0,b).

Note that the Power command is inert and should be used in combination with the RandomVariable command.

Evans, Merran; Hastings, Nicholas; and Peacock, Brian. Statistical Distributions. 3rd ed. Hoboken: Wiley, 2000.

Johnson, Norman L.; Kotz, Samuel; and Balakrishnan, N. Continuous Univariate Distributions. 2nd ed. 2 vols. Hoboken: Wiley, 1995.

Stuart, Alan, and Ord, Keith. Kendall's Advanced Theory of Statistics. 6th ed. London: Edward Arnold, 1998. Vol. 1: Distribution Theory.