 Special cases of the Feller–Pareto distribution are

The Pareto distribution is related to the exponential distribution as follows.If "X" is Pareto-distributed with minimum "x"m and index "α", then

is exponentially distributed with rate parameter "α".Equivalently, if "Y" is exponentially distributed with rate "α", then

is Pareto-distributed with minimum "x"m and index "α".