.. _method-local_reliability-mpp_search-integration:

"""""""""""
integration
"""""""""""


Integration approach



**Topics**


reliability_methods


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

   method-local_reliability-mpp_search-integration-first_order
   method-local_reliability-mpp_search-integration-second_order
   method-local_reliability-mpp_search-integration-probability_refinement


**Specification**

- *Alias:* None

- *Arguments:* None

- *Default:* First-order integration


**Child Keywords:**

+-------------------------+--------------------+----------------------------+-----------------------------------------------+
| Required/Optional       | Description of     | Dakota Keyword             | Dakota Keyword Description                    |
|                         | Group              |                            |                                               |
+=========================+====================+============================+===============================================+
| Required (Choose One)   | Integration Order  | `first_order`__            | First-order integration scheme                |
|                         |                    +----------------------------+-----------------------------------------------+
|                         |                    | `second_order`__           | Second-order integration scheme               |
+-------------------------+--------------------+----------------------------+-----------------------------------------------+
| Optional                                     | `probability_refinement`__ | Allow refinement of probability and           |
|                                              |                            | generalized reliability results using         |
|                                              |                            | importance sampling                           |
+----------------------------------------------+----------------------------+-----------------------------------------------+

.. __: method-local_reliability-mpp_search-integration-first_order.html
__ method-local_reliability-mpp_search-integration-second_order.html
__ method-local_reliability-mpp_search-integration-probability_refinement.html



**Description**


This keyword controls how the probabilities at the MPP are computed: integration
is followed by either first_order or second_order, indicating the order of the
probability integration.


