 From a uniform distribution, we can transform to any distribution with an invertible cumulative distribution function.If "G" is an invertible cumulative distribution function, and "U" is a uniformly distributed random variable, then the random variable "G"−1("U") has "G" as its cumulative distribution function.Putting the two together, if "X" is any random variable, "F" is the invertible cumulative distribution function of "X", and "G" is an invertible cumulative distribution function then the random variable "G"−1("F"("X")) has "G" as its cumulative distribution function.