## Cauchy-Lorentz Distribution

.. ratio of two independent normally distributed random variables with mean zero.

Lorentz distribution is frequently used in physics.

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$$\frac{1}{\pi\gamma} \left( \frac{\gamma^2}{ (x-x_0)^2 + \gamma^2} \right)$$

The median and mode of the Cauchy-Lorentz distribution is always $x_0$. $\gamma$ is the FWHM.

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