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Uncertainty Quantification using R: International Series in Operations Research & Management Science, cartea 335

Autor Eduardo Souza de Cursi
en Limba Engleză Paperback – 24 feb 2024
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.  

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Specificații

ISBN-13: 9783031177873
ISBN-10: 3031177878
Pagini: 766
Ilustrații: X, 766 p. 985 illus., 920 illus. in color.
Dimensiuni: 155 x 235 mm
Ediția:2023
Editura: Springer International Publishing
Colecția Springer
Seria International Series in Operations Research & Management Science

Locul publicării:Cham, Switzerland

Cuprins

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.

Notă biografică

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.

Textul de pe ultima copertă

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.  


Caracteristici

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