Global Sensitivity Analysis. The Primer by Andrea Saltelli and Marco Ratto
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Global Sensitivity Analysis. The Primer written by Andrea Saltelli, Marco Ratto, Joint Research Centre of the European Commission, Ispra, Italy : Terry Andres, Department of Computer Science, University of Manitoba, Canada : Francesca Campolongo, Jessica Cariboni, Debora Gatelli, Michaela Saisana and Stefano Tarantola Joint Research Centre of the European Commission, Ispra, Italy
. This is an other great mathematics book cover the following topics of complex number.
1. Introduction to Sensitivity Analysis
Models and Sensitivity Analysis, Methods and Settings for Sensitivity Analysis – an Introduction, Monte Carlo Filtering, Nonindependent Input Factors, Possible Pitfalls for a Sensitivity Analysis, Concluding Remarks, Exercises, Answers, Additional Exercises, Solutions to Additional Exercises
2. Experimental Designs
Introduction, Dependency on a Single Parameter, Sensitivity Analysis of a Single Parameter, Sensitivity Analysis of Multiple Parameters, Linear Models, One-at-a-time (OAT) Sampling, Limits on the Number of Influential Parameters, Fractional Factorial Sampling, Latin Hypercube Sampling, Multivariate Stratified Sampling, Quasi-random Sampling with Low-discrepancy Sequences, Group Sampling, Exercises, Exercise Solutions 99
3. Elementary Effects Method
Introduction, The Elementary Effects Method, The Sampling Strategy and its Optimization, The Computation of the Sensitivity Measures, Working with Groups, The EE Method Step by Step, Conclusions, Exercises, Solutions
4. Variance-based Methods
Different Tests for Different Settings, Why Variance?, Variance-based Methods. A Brief History, Interaction Effects, Total Effects, How to Compute the Sensitivity Indices, FAST and Random Balance Designs, Putting the Method to Work: The Infection Dynamics Model, Caveats, Exercises
5. Factor Mapping and Metamodelling With Peter Young
Introduction, Monte Carlo Filtering (MCF), Metamodelling and the High-Dimensional Model Representation, Conclusions
6. Sensitivity Analysis: From Theory to Practice
Example 1: A Composite Indicator, Example 2: Importance of Jumps in Pricing Options, Example 3: A Chemical Reactor, Example 4: A Mixed Uncertainty–Sensitivity Plot, When to use What?
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