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Home > Education > Mathematics > Uncertainty Analysis with High Dimensional Dependence Modelling-eBook
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Uncertainty Analysis with High Dimensional Dependence Modelling
"Mathematical models are used to simulate complex real-world phenomena in many areas of science and technology. Large complex models typically require inputs whose values are not known with certainty. Uncertainty analysis aims to quantify the overall uncertainty within a model, in order to support problem owners in model-based decision-making. In recent years there has been an explosion of interest in uncertainty analysis. Uncertainty and dependence elicitation, dependence modelling, model inference, efficient sampling, screening and sensitivity analysis, and probabilistic inversion are among the active research areas. This text provides both the mathematical foundations and practical applications in this rapidly expanding area, including:
  • An up-to-date, comprehensive overview of the foundations and applications of uncertainty analysis.
  • All the key topics, including uncertainty elicitation, dependence modelling, sensitivity analysis and probabilistic inversion.
  • Numerous worked examples and applications.
  • Workbook problems, enabling use for teaching.
  • Software support for the examples, using UNICORN - a Windows-based uncertainty modelling package developed by the authors.
  • A website featuring a version of the UNICORN software tailored specifically for the book, as well as computer programs and data sets to support the examples.

Uncertainty Analysis with High Dimensional Dependence Modelling offers a comprehensive exploration of a new emerging field. It will prove an invaluable text for researches, practitioners and graduate students in areas ranging from statistics and engineering to reliability and environmetrics. "

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Title of ebook: Uncertainty Analysis with High Dimensional Dependence Modelling
ISBN: 9780470863084
Publisher: John Wiley & Sons, Inc.
Internet download file size: 10651 kb
Pages: 302
Released online for download: 10-02-2006
Author of eBook: Kurowicka, Dorota
Author of eBook: Cooke, Roger

Uncertainty Analysis with High Dimensional Dependence Modelling


Chapter One

Introduction: Uncertainty Analysis and Dependence Modelling

1.1 Wags and Bogsats

'... whether truef or not [it] is at least probable; and he who tells nothing exceeding the bounds of probability has a right to demand that they should believe him who cannot contradict him'. Samuel Johnson, author of the first English dictionary, wrote this in 1735. He is referring to the Jesuit priest Jeronimo Lobo's account of the unicorns he saw during his visit to Abyssinia in the 17th century (Shepard (1930) p. 200).

Johnson could have been the apologist for much of what passed as decision support in the period after World War II, when think tanks, forecasters and expert judgment burst upon the scientific stage. Most salient in this genre is the book The Year 2000 (Kahn and Wiener (1967)) in which the authors publish ... read full excerpt from Uncertainty Analysis with High Dimensional Dependence Modelling ebook



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