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Update GeneralLinearModelAlgorithm_doc.i.in
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Clarified text.
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mbaudin47 committed May 1, 2024
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6 changes: 2 additions & 4 deletions python/src/GeneralLinearModelAlgorithm_doc.i.in
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Expand Up @@ -51,8 +51,7 @@ where:

with :math:`\mu_\ell(\vect{x}) = \sum_{j=1}^{n_\ell} \beta_j^\ell \varphi_j^\ell(\vect{x})` and
:math:`\varphi_j^\ell: \Rset^\inputDim \rightarrow \Rset` the trend functions.

:math:`\vect{W}` is a Gaussian process of dimension :math:`\outputDim` with zero mean and covariance function
The Gaussian process :math:`\vect{W}` is of dimension :math:`\outputDim` with zero mean and covariance function
:math:`C = C(\vect{\theta}, \vect{\sigma}, \mat{R}, \vect{\lambda})` (see :class:`~openturns.CovarianceModel`
for the notations).

Expand Down Expand Up @@ -81,8 +80,7 @@ The *GeneralLinearModelAlgorithm* class estimates the coefficients :math:`\beta_
where :math:`\vect{p}` is the vector of parameters of the covariance model (a subset of
:math:`\vect{\theta}, \vect{\sigma}, \mat{R}, \vect{\lambda}`) that has been declared as
*active* (by default, the full vectors :math:`\vect{\theta}` and :math:`\vect{\sigma}`).

The estimation is done by maximizing the *reduced* log-likelihood of the model, see its expression below.
The estimation is done by maximizing the *reduced* log-likelihood of the model (see its expression below).

**Estimation of the parameters** :math:`\beta_j^\ell` and :math:`\vect{p}`

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