/usr/include/openturns/swig/GumbelMuSigma_doc.i is in libopenturns-dev 1.7-3.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 | %feature("docstring") OT::GumbelMuSigma
"Gumbel distribution parameters.
Available constructors:
GumbelMuSigma(*mu=* :math:`\\\\gamma` *, sigma=* :math:`\\\\pi/\\\\sqrt{6}`)
Parameters
----------
mu : float
Mean.
sigma : float
Standard deviation :math:`\\\\sigma > 0`.
Notes
-----
The native parameters are defined as follows:
.. math::
\\\\alpha &= \\\\frac{\\\\pi}{\\\\sigma \\\\sqrt{6}} \\\\\\\\
\\\\beta &= \\\\mu - \\\\frac{\\\\gamma \\\\sigma \\\\sqrt{6}}{\\\\pi}
where :math:`\\\\gamma` is the Euler-Mascheroni constant.
See also
--------
Gumbel
Examples
--------
Create the parameters of the Gumbel distribution:
>>> import openturns as ot
>>> parameters = ot.GumbelMuSigma(1.5, 1.3)
Convert parameters into the native parameters:
>>> print(parameters([1.5, 1.3]))
[0.986577,0.914931]
The gradient of the transformation of the native parameters into the new
parameters:
>>> print(parameters.gradient())
[[ 0 1 ]
[ -0.758905 -0.450053 ]]"
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