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Concepts and Recent Advances in Generalized Information Measures and Statistics

  • ID: 2718539
  • Book
  • December 2013
  • 432 Pages
  • Bentham Science Publishers Ltd
Since the introduction of the information measure widely known as Shannon entropy, quantifiers based on information theory and concepts such as entropic forms and statistical complexities have proven to be useful in diverse scientific research fields. This book contains introductory tutorials suitable for the general reader, together with chapters dedicated to the basic concepts of the most frequently employed information measures or quantifiers and their recent applications to different areas, including physics, biology, medicine, economics, communication and social sciences. As these quantifiers are powerful tools for the study of general time and data series independently of their sources, this book will be useful to all those doing research connected with information analysis.

The tutorials in this volume are written at a broadly accessible level and readers will have the opportunity to acquire the knowledge necessary to use the information theory tools in their field of interest.
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Foreword by Fernando Dantas Nobre

Foreword by Héctor Vucetich

Preface

List of Contributors

Introduction - Summary of Contents

CHAPTERS

Part I: Fundamental Concepts

1. Heat and Entropy: A Brief History
Evaldo M. F. Curado, Andres M. Kowalski and Raul D. Rossignoli

2. Essentials of Information Entropy and Related Measures
Raul D. Rossignoli, Andres M. Kowalski and Evaldo M. F. Curado

3. The Nonadditive Entropy Sq: A Door Open to the Nonuniversality of the Mathematical Expression of the Clausius Thermodynamic Entropy in Terms of the Probabilities of the Microscopic Con?gurations
Constantino Tsallis

4. What do Generalized Entropies Look Like? An Axiomatic Approach for Complex, Non-Ergodic Systems
Stefan Thurner and Rudolf Hanel

5. Majorization and Generalized Entropies
Norma Canosa and Raul D. Rossignoli

6. Distance Measures for Probability Distributions
Pedro W. Lamberti and Ana P. Majtey

7. A Statistical Measure of Complexity
Ricardo Lopez-Ruiz, Hector Mancini and Xavier Calbet

8. Generalized Statistical Complexity: A New Tool for Dynamical Systems
Osvaldo A. Rosso, Maria Teresa Martin, Hilda A. Larrondo, Andres M. Kowalski and Angelo Plastino

Part II: Applications

9. The Fisher Information: Properties and Physico-Chemical Applications
Jesus S. Dehesa, Rodolfo O. Esquivel, Angel Ricardo Plastino and Pablo Sanchez-Moreno

10. Entanglement and Entropy
J. Batle, A. Plastino, A. R. Plastino, and M. Casas

11. Semiclassical Treatments and Information Theory
Flavia Pennini, Angelo Plastino, Gustavo Luis Ferri

12. Statistical Complexity of Chaotic Pseudorandom Number Generators
Hilda A. Larrondo, Luciana De Micco, Claudio M. Gonzalez and Angelo Plastino, Osvaldo A. Rosso

13. Analysis of an El Niño-Southern Oscillation Proxy Record Using Information Theory Quantifiers
Laura C. Carpi, Patricia M. Saco, Alejandra Figliola, Eduardo Serrano, Osvaldo A. Rosso

14. Erythrocytes Viscoelasticity Under the Lens of Wavelet-Information Theory Quantifiers
Ana Maria Korol, Maria Teresa Martin, Bibiana Riquelme, Mabel D’Arrigo, Osvaldo A. Rosso

15. Information-Theoretic Analysis of the Role of Correlations in Neural Spike Trains
Fernando Montani and Simon R. Schultz

Index
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Editor: Andres M. Kowalski
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