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Statistical Methods and Overview
Hazard Identification and Limit States
Characterize Inputs
Calculate, Evaluate, and Improve Reliability
Miscellaneous
100

Reliability is equal to 1 minus this

Probability of failure

100

A pipeline rupture is an example of this type of limit state.

Ultimate Limit State

100

Sum of the values divided by the number of measurements

Mean

100

The effect of operational changes or maintenance actions can be quantified with this.

Reliability assessment

100

The increments on this type of scale are orders of magnitude.

Logarithmic

200

Type of regression that is used for a binary response variable

Logistic regression

200

Mathematical function that defines the boundary between safe operation and failure

Limit State Function

200

These two parameters define a normal distribution

Mean and Standard Deviation

200

Pressure decreases have this effect on the probability of burst failure.

Reduction

200

Risk is these two terms multiplied together

Probability and Consequence

300

1 percent in scientific notation (eg. 10x)

10-2

300

Safety factors are typically based on this

Past experience and engineering judgment

300

The term for a distribution with two 'peaks'.

Bi-modal

300

A method that involves randomly sampling a large number of simulated experiments.

Monte Carlo

300

The type of chart that illustrates the relative frequency of values in a dataset.

Histogram

400

Logic Gate that multiplies the input probabilities

AND Gate

400

Instead of historical failures, Structural Reliability Methods are based on this.

The physics of failure

400

Percentage of data within one standard deviation in a normal distribution

~68%

400

The proportion of simulations in Monte Carlo that fail the limit state is an estimate of this.

Probability of Failure

400

Fault trees have been broadly adopted in this industry.

Nuclear

500

Event in a fault tree that is not broken down further

Basic Event

500

Model uncertainty quantifies this.

The difference between engineering models and reality

500

The two main aspects of data that descriptive statistics could summarize

Central Tendency and Variation

500

The general and location-specific checks evaluate these two types of life safety risk.

Societal and Individual

500

The mean multiplied by the Coefficient of Variation.

Standard Deviation