Uniform Distribution (continuous) - Related Distributions

Related Distributions

• If X has a standard uniform distribution, then by the inverse transform sampling method, Y = − ln(X) / λ has an exponential distribution with (rate) parameter λ.
• If X has a standard uniform distribution, then Y = Xn has a beta distribution with parameters 1/n and 1. (Note this implies that the standard uniform distribution is a special case of the beta distribution, with parameters 1 and 1.)
• The Irwin–Hall distribution is the sum of n i.i.d. U(0,1) distributions.
• The sum of two independent, equally distributed, uniform distributions yields a symmetric triangular distribution.