diff --git a/docs/source/reliability/index.rst b/docs/source/reliability/index.rst index d3010039..0464cbed 100644 --- a/docs/source/reliability/index.rst +++ b/docs/source/reliability/index.rst @@ -3,7 +3,7 @@ Reliability Reliability of a system refers to the assessment of its probability of failure (i.e the system no longer satisfies some performance measures), given the model uncertainty in the structural, environmental and load parameters. Given a vector -of random variables :math:`\textbf{X}=\{X_1, X_2, \ldots, X_n\} \in \mathcal{D}_\textbf{X}\subset \mathbb{R}^n`, where +of random variables :math:`\textbf{X}=[X_1, X_2, \ldots, X_n]^T \in \mathcal{D}_\textbf{X}\subset \mathbb{R}^n`, where :math:`\mathcal{D}` is the domain of interest and :math:`f_{\textbf{X}}(\textbf{x})` is its joint probability density function then, the probability that the system will fail is defined as @@ -22,8 +22,8 @@ transformation and can support reliability analysis for problems with arbitraril This module contains functionality for all reliability methods supported in :py:mod:`UQpy`. The module currently contains the following classes: -- :class:`.TaylorSeries`: Class to perform reliability analysis using First Order reliability Method (:class:`FORM`) and Second Order - Reliability Method (:class:`SORM`). +- :class:`.TaylorSeries`: Class to perform reliability analysis using First Order Reliability Method (:class:`FORM`), + Inverse First Order Reliability Method (:class:`InverseFORM`) and Second Order Reliability Method (:class:`SORM`). - :class:`.SubsetSimulation`: Class to perform reliability analysis using subset simulation.