ReliabilityProblem107

class ReliabilityProblem107(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 RP107.

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

g(X) = 5 \sqrt{10} - (x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7 + x_8 + x_9 + x_{10}).

for any \boldsymbol{x} \in \mathbb{R}^{10}.

We have:

X_i \sim \mathcal{N}(0, 1)

for i \in \{1, 2, ...,10\}.

Parameters:
thresholdfloat

The threshold.

mufloat

The mean of the Xi Normal distribution for i in {1, 2, …, 10}.

sigmafloat

The standard deviation of the Xi Normal distribution for i in {1, 2, …, 10}.

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.