Blurb::
Aleatory uncertain variable - Weibull
Description::
The Weibull distribution is also referred to as the Type III Smallest Extreme Value distribution.
The Weibull distribution is commonly used in reliability studies to predict the lifetime of a device.  It is also used to model capacity variables such as material strength.

The density function for the Weibull distribution is given by:

.. math::  f(x) = \frac{\alpha}{\beta}
         \left(\frac{x}{\beta}\right)^{\alpha-1}
    \exp \left( -\left(\frac{x}{\beta}\right)^{\alpha} \right),

where :math:`\mu = \beta \Gamma\left( 1+\frac{1}{\alpha} \right),`  and
:math:`\sigma = \mu \sqrt{\frac{\Gamma(1+\frac{2}{\alpha})}{\Gamma^2(1+\frac{1}{\alpha})} - 1}` 
Topics::
continuous_variables, aleatory_uncertain_variables
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