.. _method-multilevel_function_train-response_levels-compute:

"""""""
compute
"""""""


Selection of statistics to compute at each response level


.. toctree::
   :hidden:
   :maxdepth: 1

   method-multilevel_function_train-response_levels-compute-probabilities
   method-multilevel_function_train-response_levels-compute-reliabilities
   method-multilevel_function_train-response_levels-compute-gen_reliabilities
   method-multilevel_function_train-response_levels-compute-system


**Specification**

- *Alias:* None

- *Arguments:* None

- *Default:* probabilities


**Child Keywords:**

+-------------------------+--------------------+-----------------------+-----------------------------------------------+
| Required/Optional       | Description of     | Dakota Keyword        | Dakota Keyword Description                    |
|                         | Group              |                       |                                               |
+=========================+====================+=======================+===============================================+
| Required (Choose One)   | Statistics to      | `probabilities`__     | Computes probabilities associated with        |
|                         | Compute            |                       | response levels                               |
|                         |                    +-----------------------+-----------------------------------------------+
|                         |                    | `reliabilities`__     | Computes reliabilities associated with        |
|                         |                    |                       | response levels                               |
|                         |                    +-----------------------+-----------------------------------------------+
|                         |                    | `gen_reliabilities`__ | Computes generalized reliabilities associated |
|                         |                    |                       | with response levels                          |
+-------------------------+--------------------+-----------------------+-----------------------------------------------+
| Optional                                     | `system`__            | Compute system reliability (series or         |
|                                              |                       | parallel)                                     |
+----------------------------------------------+-----------------------+-----------------------------------------------+

.. __: method-multilevel_function_train-response_levels-compute-probabilities.html
__ method-multilevel_function_train-response_levels-compute-reliabilities.html
__ method-multilevel_function_train-response_levels-compute-gen_reliabilities.html
__ method-multilevel_function_train-response_levels-compute-system.html



**Description**


The ``compute`` keyword is used to select which forward stastical mapping is calculated
at each response level.

*Default Behavior*

If ``response_levels`` is not specified, no statistics are computed. If ``response_levels`` is specified but ``compute`` is not, probabilities will be computed by default. If both ``response_levels`` and ``compute`` are specified, then on of the following must be specified: ``probabilities``, ``reliabilities``, or ``gen_reliabilities``.

*Expected Output*

The type of statistics specified by ``compute`` will be reported for each response level.

*Usage Tips*

CDF/CCDF probabilities are calculated for specified response levels
using a simple binning approach.

CDF/CCDF reliabilities are calculated for specified response levels by
computing the number of sample standard deviations separating the
sample mean from the response level.



**Examples**



.. code-block::

    method
      sampling
        sample_type random
        samples = 100 seed = 1
        complementary distribution
        response_levels = 3.6e+11 4.0e+11 4.4e+11
                          6.0e+04 6.5e+04 7.0e+04
                          3.5e+05 4.0e+05 4.5e+05
        compute reliabilities