Dimensions of Uncertainty in Communication Engineering 1st edition by Ezio Biglieri 0323992765 9780323992763

Dimensions of Uncertainty in Communication Engineering 1st edition by Ezio Biglieri – Ebook PDF Instant Download/DeliveryISBN:  0323992765, 9780323992763 

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ISBN-10 :  0323992765 

ISBN-13 : 9780323992763

Author : Ezio Biglieri 

Dimensions of Uncertainty in Communication Engineering is a comprehensive and self-contained introduction to the problems of nonaleatory uncertainty and the mathematical tools needed to solve them. The book gathers together tools derived from statistics, information theory, moment theory, interval analysis and probability boxes, dependence bounds, nonadditive measures, and Dempster–Shafer theory. While the book is mainly devoted to communication engineering, the techniques described are also of interest to other application areas, and commonalities to these are often alluded to through a number of references to books and research papers. This is an ideal supplementary book for courses in wireless communications, providing techniques for addressing epistemic uncertainty, as well as an important resource for researchers and industry engineers. Students and researchers in other fields such as statistics, financial mathematics, and transport theory will gain an overview and understanding on these methods relevant to their field.

Dimensions of Uncertainty in Communication Engineering 1st Table of contents:

1: Model selection
Abstract
1.1. Parametric models
1.2. Wireless channel models
1.3. Parameter estimation
1.4. Differential entropy and Kullback–Leibler divergence
1.5. KKT optimality conditions
1.6. Choosing the best model: the maximum-entropy principle
1.7. Choosing the best model in a set: Akaike Information Criterion
1.8. Choosing the best model in a set: minimum description length criterion
Sources and parerga
Bibliography
2: Performance bounds from epistemic uncertainty
Abstract
2.1. Model robustness
2.2. Performance optimization with divergence constraints
2.3. Scenarios of uncertainty
2.4. Concentration-of-measure inequalities
2.5. Some applications
2.6. The certification problem
Sources and parerga
Bibliography
3: Moment bounds
Abstract
3.1. Some classical results
3.2. The general moment-bound problem
3.3. Calculation of moments
3.4. Moments of unimodal pdfs
3.5. When is a sequence a valid moment sequence?
3.6. Moments in a parallelepiped
3.7. Geometric bounds
3.8. Quadrature-rule approximations and bounds
3.9. Čebyšev systems and principal representations
3.10. Moment problems as semidefinite programs
3.11. Multidimensional moment bounds and approximations
Sources and parerga
Bibliography
4: Interval analysis
Abstract
4.1. Some definitions
4.2. Set operations on intervals
4.3. Algebraic operations on interval numbers
4.4. Interval vectors and matrices
4.5. Interval functions
4.6. The interval dependence problem
4.7. Integrals
4.8. Choosing a representative in an interval
Sources and parerga
Bibliography
5: Probability boxes
Abstract
5.1. Interval probabilities
5.2. Generating probability boxes
5.3. Aggregating probability boxes
5.4. Combining probability boxes of random variables
5.5. Using probability boxes in performance evaluation
Sources and parerga
Bibliography
6: Dependence bounds
Abstract
6.1. Copulas
6.2. Dependence p-boxes from copula bounds
6.3. Some examples of application
6.4. Bivariate dependence bounds on expectations
6.5. Bounds with monotone marginal densities
6.6. Deriving tighter dependence bounds
Sources and parerga
Bibliography
7: Beyond probability
Abstract
7.1. Decisions under uncertainty
7.2. Epistemic vs. aleatory uncertainty
7.3. Lotteries, prospects, and utility functions
7.4. Other paradoxes arising from EUT
7.5. Upper and lower probabilities
7.6. Expected utility with interval probabilities
7.7. Some applications to digital communication
7.8. Going beyond probability
7.9. Set functions and their properties
7.10. Infinite sets
7.11. Capacities and Choquet integral
7.12. Expected values and Choquet integral
7.13. Dempster–Shafer theory

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Tags: Dimensions, Uncertainty, Communication Engineering, Ezio Biglieri