Journal ArticleDOI
Quantification of margins and uncertainties: Conceptual and computational basis
TLDR
This presentation discusses and illustrates the conceptual and computational basis of QMU in analyses that use computational models to predict the behavior of complex systems.About:
This article is published in Reliability Engineering & System Safety.The article was published on 2011-09-01. It has received 81 citations till now. The article focuses on the topics: Uncertainty analysis & Uncertainty quantification.read more
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Sensitivity analysis and related analyses: A review of some statistical techniques
TL;DR: In this article, five related types of analysis, namely sensitivity or what-if analysis, uncertainty or risk analysis, screening, validation, and optimization, are reviewed, and the main questions are: when should which type of analysis be applied; which statistical techniques may then be used?
Journal ArticleDOI
Concerns, challenges, and directions of development for the issue of representing uncertainty in risk assessment.
TL;DR: The foundational issues addressed reflect on the position that "probability is perfect" and take into open consideration the need for an extended framework for risk assessment that reflects the separation that practically exists between analyst and decisionmaker.
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A Dempster-Shafer Theory-based approach to the Failure Mode, Effects and Criticality Analysis (FMECA) under epistemic uncertainty: application to the propulsion system of a fishing vessel
TL;DR: The present paper proposes the Dempster-Shafer Theory of evidence (DST) of evidence as a proper mathematical framework to deal with the epistemic uncertainty often affecting the input evaluations on risk parameters.
Journal ArticleDOI
Quantification of margins and uncertainties: Alternative representations of epistemic uncertainty
Jon C. Helton,Jay D. Johnson +1 more
TL;DR: The current presentation introduces and illustrates the use of interval analysis, possibility theory and evidence theory as alternatives to theUse of probability theory for the representation of epistemic uncertainty in QMU-type analyses.
References
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An Introduction To Probability Theory And Its Applications
TL;DR: A First Course in Probability (8th ed.) by S. Ross is a lively text that covers the basic ideas of probability theory including those needed in statistics.
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A comparison of three methods for selecting values of input variables in the analysis of output from a computer code
TL;DR: In this paper, two sampling plans are examined as alternatives to simple random sampling in Monte Carlo studies and they are shown to be improvements over simple sampling with respect to variance for a class of estimators which includes the sample mean and the empirical distribution function.
Book
Global Sensitivity Analysis: The Primer
TL;DR: In this article, the authors present a method for setting up Uncertainty and Sensitivity Analyses using Monte Carlo and Linear Regression (MCF) models and a set of experiments.
Journal ArticleDOI
Response surface methodology
TL;DR: In this article, the Response Surface Methodology (RSM) is used for scheduling and scheduling in response surface methodologies, and it is shown that it can be used in a variety of scenarios.