%feature("docstring") OT::LogNormalMuSigmaOverMu
"LogNormal distribution parameters.

Available constructors:
    LogNormalMuSigmaOverMu(*mu=* :math:`\sqrt{e}` *, delta=* :math:`\sqrt{e-1}` *, gamma=0.0*)

Parameters
----------
mu : float
    Mean :math:`\mu > 0`.
delta : float
    Variation coefficient :math:`\delta = \sigma/\mu`.
gamma : float, optional
    Shift parameter.

Notes
-----
The native parameters are defined as follows:

.. math::

    \sigma_l &= \sqrt{\log{ \left(1+\frac{(\delta \mu)^2}{(\mu-\gamma)^2} \right)}}\\
    \mu_l &= \log{(\mu-\gamma)} - \frac{\sigma_l^2}{2}

See also
--------
LogNormal

Examples
--------
Create the parameters of the LogNormal distribution:

>>> import openturns as ot
>>> parameters = ot.LogNormalMuSigmaOverMu(0.63, 5.24, -0.5)

Convert parameters into the native parameters:

>>> print(parameters.evaluate())
[-1.00525,1.50164,-0.5]

The gradient of the transformation of the native parameters into the new
parameters:

>>> print(parameters.gradient())
[[  0.256272  0.418663  0        ]
 [ -0.170824  0.113758  0        ]
 [ -1.6771    0.527516  1        ]]"
