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Chapter
Random Differential Equations
Differential equations are first of all equations, so that the methods used for equations may be used – at least in principle.
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Chapter
Some Tips to Use EXCEL®
EXCEL® is a powerful software: a complete exploration of its possibilities cannot be made here. In this chapter, we present some tips that will be useful in the sequel.
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Chapter
Optimization Under Uncertainty
In Sect. 2.2 (page 52), we introduced the classical mono-objective optimization problem.
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Chapter
Reliability
Reliability is a quite old idea in many areas of human activity facing uncertainties. For example, Civil Engineering faces such a difficulty since its dawn.
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Chapter
Some Useful Numerical Methods
As indicated in the Introduction, the reader may find on the net free and commercial add-ins to make Numerical Calculus with EXCEL®. We cited some of them: MATRIX, XNUMBERS, MATHLAYER®, the Jensen Library.
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Chapter
Stochastic Processes
The formal study of stochastic processes is not in the scope of this book, which focus on the use of EXCEL® to solve practical problems.
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Chapter
Uncertain Algebraic Equations
Solving equations is a basic activity in most fields of knowledge – for instance, Engineering, Management, Economics, … A simple example is furnished by the basic input-output analysis introduced by W. Leontie...
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Chapter
UQ in Game Theory
The classic text in Game Theory (GT) is the book by John Von Neumann and Oskar Morgenstern, entitled Theory of Games and Economic Behavior, published in 1944 (Von Neumann & Morgenstern, 1944), what is the culm...
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Chapter
Probabilities with EXCEL®
EXCEL® proposes many intrinsic functions to deal with probabilities, but, as previously observed, you may also extend their performance by using add-ins. In the sequel, we recall some basic elements of probabilit...
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Chapter
Representation of Random Variables
As previously observed, random variables are a comfortable tool to model variability, whenever statistical data is available. Nevertheless, the complete knowledge of their distribution is rarely available, sin...