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log-normal
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joethorley committed Dec 3, 2024
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Expand Up @@ -256,7 +256,7 @@ The [log-normal](https://en.wikipedia.org/wiki/Log-normal_distribution) distribu
A random variable, $X$ is lognormally distributed if the *logarithm* of $X$ is normally distributed. The *pdf* of $X$ is given by

<div style="text-align: center; font-size: 1.2em; color: black; border: 1px solid black; padding: 10px; border-radius: 5px;">
<b><u>Lognormal Distribution</u></b>
<b><u>Log-normal Distribution</u></b>

$${f_X}\left( x; \mu, \sigma \right) = \frac{1}{\sqrt{2\pi}\ \sigma x}\exp \left[ - \frac{\left( {\ln x - \mu } \right)^2}{2\sigma^2} \right] ;\ x,\sigma > 0;\ - \infty < \mu < \infty$$
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