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Home > Education > Mathematics > Global Sensitivity Analysis: The Primer-eBook
Global Sensitivity Analysis: The Primer
by Saltelli, Andrea, Andres, Terry
 
 
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Global Sensitivity Analysis: The Primer
Complex mathematical and computational models are used in all areas of society and technology and yet model based science is increasingly contested or refuted, especially when models are applied to controversial themes in domains such as health, the environment or the economy. More stringent standards of proofs are demanded from model-based numbers, especially when these numbers represent potential financial losses, threats to human health or the state of the environment. Quantitative sensitivity analysis is generally agreed to be one such standard.

Mathematical models are good at mapping assumptions into inferences. A modeller makes assumptions about laws pertaining to the system, about its status and a plethora of other, often arcane, system variables and internal model settings. To what extent can we rely on the model-based inference when most of these assumptions are fraught with uncertainties? Global Sensitivity Analysis offers an accessible treatment of such problems via  quantitative sensitivity analysis, beginning with the first principles and guiding the reader through the full range of recommended practices with a rich set of solved exercises. The text explains the motivation for sensitivity analysis, reviews the required statistical concepts, and provides a guide to potential applications.

The book:

  • Provides a self-contained treatment of the subject, allowing readers to learn and practice global sensitivity analysis without further materials.

  • Presents ways to frame the analysis, interpret its results, and avoid potential pitfalls.

  • Features numerous exercises and solved problems to help illustrate the applications.

  • Is authored by leading sensitivity analysis practitioners, combining a range of disciplinary backgrounds.

Postgraduate students and practitioners in a wide range of subjects, including statistics, mathematics, engineering, physics, chemistry, environmental sciences, biology, toxicology, actuarial sciences, and econometrics will find much of use here. This book will prove equally valuable to engineers working on risk analysis and to financial analysts concerned with pricing and hedging.



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Title of ebook: Global Sensitivity Analysis: The Primer
ISBN: 9780470725177
Publisher: John Wiley & Sons, Ltd.
Internet download file size: 7260 kb
Pages: 304
Released online for download: 05-19-2008
Author of eBook: Saltelli, Andrea
Author: Ratto, Marco
Author of eBook: Andres, Terry
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Chapter One

Introduction to Sensitivity Analysis

1.1 MODELS AND SENSITIVITY ANALYSIS

What is a model? What model input is considered in a sensitivity analysis? What is the role of uncertainty and sensitivity analyses in model building? Main approaches to the propagation of uncertainty within and across models. Implications for model quality.

1.1.1 Definition

A possible definition of sensitivity analysis is the following: The study of how uncertainty in the output of a model (numerical or otherwise) can be apportioned to different sources of uncertainty in the model input (Saltelli et al., 2004). A related practice is 'uncertainty analysis', which focuses rather on quantifying uncertainty in model output. Ideally, uncertainty and sensitivity analyses should be run in tandem, with uncertainty analysis preceding in current practice.

For this definition of se ... read full excerpt from Global Sensitivity Analysis: The Primer ebook



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