Ratio Distribution - Uniform Ratio Distribution

Uniform Ratio Distribution

With two independent random variables following a uniform distribution, e.g.,

the ratio distribution becomes

$p_Z(z) = \begin{cases} 1/2 \qquad & 0 < z < 1 \\ \frac{1}{2z^2} \qquad & z \geq 1 \\ 0 \qquad & \mbox{otherwise} \end{cases}$

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