Description

The Hohenbichler reliability index beta is a scalar measure of safety equivalent to the probability of failure P_failure, but measured on another scale. By definition:
beta = -Phi^-1(P_failure)
where Phi is the cumulative distribution function of the standard Normal distribution.

For further details, see:
M. Hohenbichler, R. Rackwitz First-order concepts in system reliability In: Structural Safety, 1, 1983. p. 177-188.

Usage within OpenTURNS

A method for computing the HohenBichler reliability index is given by the FORM::Result class.

• See the OpenTURNS - Use Cases Guide for the Text User Interface for an example of how to use the class FORM::Result within the TUI
• See the OpenTURNS - User Manual for the Text User Interface for the detail of how to get a FORM::Result instance.
• Type help(FORMResult) within python (after having loaded openturns module)