The ratio 
of uniform variates 
and 
on the interval ![[0,1]](/images/equations/UniformRatioDistribution/Inline4.svg)
can be found directly as
 |  |  |
(1)
|
 |  | ![1/2[(H(u-1))/(u^2)+H(1-u)],](/images/equations/UniformRatioDistribution/Inline10.svg) |
(2)
|
where 
is a delta function and 
is the Heaviside
step function.
The distribution is normalized, but its mean and moments diverge.
Uniform Ratio Distribution
See also
Ratio Distribution, Uniform Difference Distribution, Uniform Distribution, Uniform Product Distribution, Uniform Sum DistributionExplore with Wolfram|Alpha
References
Trott, M. "The Mathematica Guidebooks Additional Material: Probability Distribution of a Quotient." http://www.mathematicaguidebooks.org/additions.shtml#S_1_12.Referenced on Wolfram|Alpha
Uniform Ratio DistributionCite this as:
Weisstein, Eric W. "Uniform Ratio Distribution." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/UniformRatioDistribution.html