%feature("docstring") OT::RandomWalk
"Random walk process.

Parameters
----------
origin : :class:`~openturns.Point` 
    Origin of the random walk.

distribution : :class:`~openturns.Distribution` 
    Distribution of dimension equal to the dimension of `origin`.

timeGrid : :class:`~openturns.TimeGrid`, optional
    The time grid of the process.
    By default, the time grid is  reduced to one time stamp equal to 0.


Notes
-----
A random walk is a process :math:`X: \Omega \times \cD \rightarrow \Rset^d` where :math:`\cD=\Rset` discretized on the time grid :math:`(t_i)_{i \geq 0}` such that:

.. math::

    \forall n>0,\: X_{t_n}  =  X_{t_{n-1}} + \varepsilon_{t_n}

where :math:`\vect{x}_0 \in \Rset^d` and :math:`\varepsilon` is a  white noise of dimension :math:`d`.


Examples
--------
Create a random walk:

>>> import openturns as ot
>>> myTimeGrid = ot.RegularGrid(0, 0.1, 10)
>>> myDist = ot.ComposedDistribution([ot.Normal(), ot.Exponential(0.2)], ot.ClaytonCopula(0.5))
>>> myOrigin = ot.Point(myDist.getMean())
>>> myRandomWalk = ot.RandomWalk(myOrigin, myDist, myTimeGrid)

Get a realization:

>>> myReal = myRandomWalk.getRealization()"

// ---------------------------------------------------------------------
%feature("docstring") OT::RandomWalk::getDistribution
"Accessor to the distribution.

Returns
-------
distribution : :class:`~openturns.Distribution` 
    The distribution of dimension :math:`d` of the white noise."

// ---------------------------------------------------------------------
%feature("docstring") OT::RandomWalk::getOrigin
"Accessor to the origin.

Returns
-------
origin : :class:`~openturns.Point` 
    The origin of the random walk."

// ---------------------------------------------------------------------
%feature("docstring") OT::RandomWalk::setDistribution
"Accessor to the distribution.

Parameters
----------
distribution : :class:`~openturns.Distribution` 
    The distribution of dimension :math:`d` of the white noise."

// ---------------------------------------------------------------------
%feature("docstring") OT::RandomWalk::setOrigin
"Accessor to the origin.

Parameters
----------
origin : :class:`~openturns.Point` 
    The origin of the random walk."

