1%feature("docstring") OT::GumbelMuSigma
2"Gumbel distribution parameters.
3
4Parameters
5----------
6mu : float
7    Mean.
8sigma : float
9    Standard deviation :math:`\sigma > 0`.
10
11Notes
12-----
13The native parameters  :math:`(\beta, \gamma)` are defined as follows:
14
15.. math::
16    :nowrap:
17
18    \begin{eqnarray*}
19        \mu & = & \gamma + \gamma_e \beta \\
20        \sigma^2 & = & \frac{1}{6} \pi^2 \beta^2
21    \end{eqnarray*}
22
23where :math:`\gamma_e` is the Euler-Mascheroni constant.
24
25See also
26--------
27Gumbel
28
29Examples
30--------
31Create the parameters :math:`(\mu, \sigma)` of the Gumbel distribution:
32
33>>> import openturns as ot
34>>> parameters = ot.GumbelMuSigma(1.5, 1.3)
35
36Convert parameters into the native parameters :math:`(\beta, \gamma)`:
37
38>>> print(parameters.evaluate())
39[1.01361,0.914931]"
40