pastas.noisemodels.ArNoiseModel.get_correction
==============================================

.. py:method:: pastas.noisemodels.ArNoiseModel.get_correction(res: pandas.Series, p: pastas.typing.ArrayLike, tindex: pandas.DatetimeIndex) -> pandas.Series

   
   Get the correction for a forecast using the noise model.

   :param res: The residual series.
   :type res: Series
   :param p: The parameters of the noise model.
   :type p: ArrayLike
   :param tindex: The index of the forecast.
   :type tindex: DatetimeIndex

   :returns: The correction to the forecast.
   :rtype: Series

   .. rubric:: Notes

   The correction is calculated as:

   .. math::

           correction = \exp(-\Delta t / \alpha) * last_residual

   where :math:`\Delta t` is the time difference between the last observation
   and the forecast, and :math:`\alpha` is the noise parameter.















   ..
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