lines 434-489 of file: lib/python/cppad_py/mixed.py

   {xrst_begin mixed_ran_likelihood}
   Random Effects Likelihood
   #########################

   Syntax
   ******
   *v* = *ran_likelihood*\ ``.forward`` (0, *theta* , *u* )


   ran_likelihood
   **************
   is a :ref:`d_fun<py_fun_ctor@Syntax@d_fun>` representation
   of the negative log of the
   :ref:`random effects likelihood <mixed@Notation@Random Effects Likelihood>`

   .. math::

      r( \theta , u )
      =
      v_0 ( \theta , u )
      =
      - \log [ \B{p} ( y | \theta , u ) \B{p} ( u | \theta ) ]

   The function :math:`v_0 ( \theta , u )`
   is assumed to be a smooth w.r.t the vector :math:`( \theta , u )`.

   theta
   *****
   is a numpy vector with ``float`` elements and size
   :ref:`mixed_ctor@fixed_init@n_fixed`
   containing a value for the fixed effects.

   u
   *
   is a numpy vector with ``float`` elements and size
   :ref:`mixed_ctor@random_init@n_random`
   containing a value for the random effects.

   v
   *
   is a numpy vector with ``float`` elements and size 1.

   None
   ****
   The value *ran_likelihood* = ``None``
   corresponds to the random effects likelihood
   being constant w.r.t. :math:`( \theta , u )`.

   {xrst_toc_hidden
      example/python/mixed/ran_likelihood_xam.py
   }
   Example
   *******
   :ref:`mixed_ran_likelihood_xam.py-name`

   {xrst_end mixed_ran_likelihood}