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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 | %feature("docstring") OT::ArcsineMuSigma
"Arcsine distribution parameters.
Available constructors:
ArcsineMuSigma(*mu=1.0, sigma=1.0*)
Parameters
----------
mu : float
Mean.
sigma : float
Standard deviation :math:`\\\\sigma > 0`.
Notes
-----
The native parameters are defined as follows:
.. math::
a &= \\\\mu - \\\\sigma \\\\sqrt{2} \\\\\\\\
b &= \\\\mu + \\\\sigma \\\\sqrt{2}
See also
--------
Arcsine
Examples
--------
Create the parameters of the Arcsine distribution:
>>> import openturns as ot
>>> parameters = ot.ArcsineMuSigma(8.4, 2.25)
Convert parameters into the native parameters:
>>> print(parameters([8.4, 2.25]))
[5.21802,11.582]
The gradient of the transformation of the native parameters into the new
parameters:
>>> print(parameters.gradient())
[[ 1 1 ]
[ -1.41421 1.41421 ]]"
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