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Cited by 2,688

The DOI matches its Crossref record; 184 of the 184 references it cites were found in a registry or an index.

Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems

Helton, J.C., Davis, F.J.·2003·Reliability Engineering & System Safety

Abstract

The following techniques for uncertainty and sensitivity analysis are briefly summarized: Monte Carlo analysis, differential analysis, response surface methodology, Fourier amplitude sensitivity test, Sobol’ variance decomposition, and fast probability integration. Desirable features of Monte Carlo analysis in conjunction with Latin hypercube sampling are described in discussions of the following topics: (i) properties of random, stratified and Latin hypercube sampling, (ii) comparisons of random and Latin hypercube sampling, (iii) operations involving Latin hypercube sampling (i.e. correlation control, reweighting of samples to incorporate changed distributions, replicated sampling to test reproducibility of results), (iv) uncertainty analysis (i.e. cumulative distribution functions, complementary cumulative distribution functions, box plots), (v) sensitivity analysis (i.e. scatterplots, regression analysis, correlation analysis, rank transformations, searches for nonrandom patterns), and (vi) analyses involving stochastic (i.e. aleatory) and subjective (i.e. epistemic) uncertainty. Published by Elsevier Science Ltd.

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Metadata

Authors
Helton, J. C., & Davis, F. J.
Venue
Reliability Engineering & System Safety
Publisher
Elsevier BV
Published
2003-07
Volume
81
Issue
1
Pages
23-69
ISSN
0951-8320 (ISSN-L)
OpenAlex
W2568283272
Cited by
2,688
References
184
FWCI
35.25
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems. https://app.cochat.ai/papers/10.1016/s0951-8320(03)00058-9
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Helton, J. C., & Davis, F. J. (2003). Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems. Reliability Engineering & System Safety. https://doi.org/10.1016/s0951-8320(03)00058-9

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