ReliabilityProblem63

class ReliabilityProblem63(threshold=0.0, mu=0, sigma=1)

Methods

computeBeta()	Return the beta of the reliability problem.
getEvent()	Return the event.
getName()	Return the name of the problem.
getProbability()	Return the probability.
toFullString()	Convert the object into a string, with full details.

__init__(threshold=0.0, mu=0, sigma=1)

Creates a reliability problem RP63.

The event is {g(X) < threshold} where

X = (x1, x2, …., x100)

g(X) = 0.1 * (x2^2 + x3^2 + …. + x99^2 + x100^2) - x1 - 4.5

We have xi ~ Normal(0, 1) for i in {1, 2, …,100}

Parameters:

thresholdfloat

The threshold.

mufloat

The mean of the Xi Normal distribution for i in {1, 2, …, 100}.

sigmafloat

The standard deviation of the Xi Normal distribution for i in {1, 2, …, 100}.

computeBeta()

Return the beta of the reliability problem.

This is the quantile of the probability of a standard gaussian distribution.

Parameters:

None.

Returns:

beta: float

The beta of the problem.

getEvent()

Return the event.

Parameters:

None.

Returns:

event: ot.ThresholdEvent

The event.

getName()

Return the name of the problem.

Parameters:

None.

Returns:

name: str

The name of the problem.

getProbability()

Return the probability.

Parameters:

None.

Returns:

probability: float

The probability of the event.

toFullString()

Convert the object into a string, with full details.

Parameters:

None.

Returns:

s: str

The string of the problem.