%feature("docstring") OT::MaximumDistribution
"Maximum distribution.

Available constructors:
    MaximumDistribution(*distribution*)

    MaximumDistribution(*collection*)

    MaximumDistribution(*distribution, size*)

Parameters
----------
distribution : :class:`~openturns.Distribution`
    The underlying distribution.
collection : sequence of :class:`~openturns.Distribution`
    A collection of pdfs.
size : int
    Number of instances of distribution.

Notes
-----
The maximum distribution of F is the distribution of :math:`X = max(X_1, ... , X_n)`
where :math:`(X_1, ... , X_n) \sim F`

.. math::

    \Prob{X\leq x}=\Prob{X_1\leq x,\dots,X_n\leq x}

This simplifies to :math:`\Prob{X\leq x}=\prod_{i=1}^n F_i(x)`
when :math:`X_1,\dots,X_n` are independent (second constructor) and finally
it simplifies into :math:`F^n(x)` when the random variables are iid (third
constructor).

Examples
--------
Create a distribution:

>>> import openturns as ot
>>> coll = [ot.Uniform(-1.0, 1.0), ot.LogUniform(1.0, 1.2), ot.Triangular(3.0, 4.0, 5.0)]
>>> distribution = ot.MaximumDistribution(coll)

Draw a sample:

>>> sample = distribution.getSample(5)"

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%feature("docstring") OT::MaximumDistribution::getDistribution
"Accessor to the underlying distribution.

Returns
-------
distribution : :class:`~openturns.Distribution`
    The underlying distribution."

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%feature("docstring") OT::MaximumDistribution::setDistribution
"Accessor to the underlying distribution.

Parameters
----------
distribution : :class:`~openturns.Distribution`
    The underlying distribution."

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