lines 782-847 of file: lib/python/cppad_py/mixed.py

   {xrst_begin mixed_optimize_random}
   {xrst_spell
      ipopt
   }

   Optimize The Random Effects
   ###########################

   Syntax
   ******
   {xrst_literal
      # BEGIN_OPTIMIZE_RANDOM
      # END_OPTIMIZE_RANDOM
   }

   Purpose
   *******
   Given a value for the fixed effects :math:`\theta`,
   this routine maximizes the :ref:`mixed_ran_likelihood-title`
   with respect to the fixed effect :math:`u`; i.e.,

   .. math::

      \B{p} ( y | \theta , u ) \B{p}( u | \theta )

   If there is no data, this routine maximizes :math:`\B{p} ( u | \theta )`.


   Argument Types
   **************
   The argument *random_ipopt_options*
   has type ``str``.  All the other arguments are
   numpy vectors with elements of type ``float``.

   fixed_vec
   *********
   has length *n_fixed* and is the value of the fixed effects
   :math:`\theta` in the objective function.
   This vector can't be ``None``.

   random_lower (random_upper)
   ***************************
   has length *n_random* and is the lower (upper) limit for the random effects.
   As a lower (upper) limit, the value ``None`` is minus (plus) infinity;
   i.e., no lower (upper) limit.

   random_in
   *********
   has length *n_random* and is the initial value used during
   optimization of the random effects.
   If *random_in* is ``None`` the value *random_init* is used; see
   :ref:`mixed_ctor@random_init` .

   random_opt
   **********
   The return value *random_opt* is a numpy vector,
   with length *n_random* an elements of type ``float``,
   that maximizes the random likelihood with respect to the random effects.

   Examples
   ********
   {xrst_toc_list
      example/python/mixed/optimize_random_xam.py
   }

   {xrst_end mixed_optimize_random}