# Slash Distribution

A probability distribution $$Slash(\mu, \sigma)$$ having the PDF
$p_{\mu, \sigma}(x) = \begin{cases} \dfrac{1}{2\sqrt{2\pi}\sigma} & x = \mu\\ \\ \dfrac{\phi(0) - \phi\left(\frac{x-\mu}{\sigma}\right)}{\sigma \times \left(\frac{x-\mu}{\sigma}\right)^2} & \text{otherwise} \end{cases}$
where $$\phi_{\mu,\sigma}$$ is the normal PDF with mean $$\mu$$ and standard deviation $$\sigma$$.
If $$\mu$$ is equal to zero and $$\sigma$$ is equal to one then it is known as the standard slash distribution and governs the ratio of independent standard normal and uniform random variables.

### Gallimaufry

 AKCalc ECMA Endarkenment Turning Sixteen

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