Uncertainty Quantification using R

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Sprache: Englisch

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Beschreibung

This book is a rigorous but practical presentation of the techniques of uncertainty quantification, with applications in R and Python. This volume includes mathematical arguments at the level necessary to make the presentation rigorous and the assumptions clearly established, while maintaining a focus on practical applications of uncertainty quantification methods. Practical aspects of applied probability are also discussed, making the content accessible to students. The introduction of R and Python allows the reader to solve more complex problems involving a more significant number of variables. Users will be able to use examples laid out in the text to solve medium-sized problems.
The list of topics covered in this volume includes linear and nonlinear programming, Lagrange multipliers (for sensitivity), multi-objective optimization, game theory, as well as linear algebraic equations, and probability and statistics. Blending theoretical rigor and practical applications, this volume will be of interest to professionals, researchers, graduate and undergraduate students interested in the use of uncertainty quantification techniques within the framework of operations research and mathematical programming, for applications in management and planning.

Über den Autor

Eduardo Souza De Cursi is a professor at the National Institute for Applied Sciences (INSA) in Rouen, France, where he serves as Dean of International Affairs and Director of the Laboratory of Mechanics of Normandy. He is also the Editor-in-Chief of "Computational and Applied Mathematics", a journal of the Brazilian Society of Computational and Applied Mathematics that is published with Springer. Prof. De Cursi holds a PhD in Sciences/Mathematics from the Université Des Sciences et Techniques Du Languedoc, USTL, France, and has over 35 years' experience in research, teaching and technology transfer.

Zusammenfassung

Presents the theory and methodology of uncertainty quantification, with applications in R and Python

Uses R and Python to solve complex, multivariate problems

Emphasizes practical applications of uncertainty quantification techniques for management and planning

Inhaltsverzeichnis

1. Introduction.- 2. Some tips to use R and RStudio.- 3. Probabilities and Random Variables.- 4. Representation of random variables.- 5. Stochastic processes.- 6. Uncertain Algebraic Equations.- 7. Random Differential Equations.- 8. UQ in Game Theory.- 9. Optimization under uncertainty.- 10. Reliability.

Details

Erscheinungsjahr:	2023
Fachbereich:	Allgemeines
Genre:	Wirtschaft
Rubrik:	Recht & Wirtschaft
Medium:	Buch
Reihe:	International Series in Operations Research & Management Science
Inhalt:	x 766 S. 65 s/w Illustr. 920 farbige Illustr. 766 p. 985 illus. 920 illus. in color.
ISBN-13:	9783031177842
ISBN-10:	3031177843
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Souza De Cursi, Eduardo
Hersteller:	Springer International Publishing Springer International Publishing AG International Series in Operations Research & Management Science
Maße:	241 x 160 x 47 mm
Von/Mit:	Eduardo Souza De Cursi
Erscheinungsdatum:	23.02.2023
Gewicht:	1,314 kg

Artikel-ID: 123660876