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On measures of information and their characterizations /
On measures of information and their characterizations.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1975.
|
| Colección: | Mathematics in science and engineering ;
v. 115. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 082 | 0 | 4 | |a 001.53/9 |2 22 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Aczél, J. | |
| 245 | 1 | 0 | |a On measures of information and their characterizations / |c J. Aczél, Z. Daróczy. |
| 260 | |a New York : |b Academic Press, |c 1975. | ||
| 300 | |a 1 online resource (xii, 234 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Mathematics in science and engineering ; |v v. 115 | |
| 504 | |a Includes bibliographical references (pages 219-226) and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; On Measures of Information and Their Characterizations; Copyright Page; Contents; Preface; Chapter 0. Introduction. Entropy of a Single Event. Functional Equations; 0.1 Introduction, History; 0.2 Entropy of One Event; 0.3 The Cauchy Functional Equation and Related Equations; 0.4 Completely Additive Number Theoretical Functions; Chapter 1. Shannon's Measure of Information; 1.1 Shannon's Entropy; 1.2 Algebraic Properties of the Shannon Entropy; 1.3 Analytic Properties of the Shannon Entropy. Inequalities | |
| 505 | 8 | |a 1.4 Some Simple Examples of Applications of Entropies to Logical Games and Coding1.5 Coding; 1.6 Optimal Coding and Entropy; Chapter 2. Some Desirable Properties of Entropies and Their Correlations. The Hincin and Faddeev Characterizations of Shannon's Entropy; 2.1 A List of Desiderata for Entropies; 2.2 Generalized Representations; 2.3 Correlations and Simple Consequences of the Desiderata; 2.4 The Shannon-Hincin and the Faddeev Characterizations of the Shannon Entropy; Chapter 3. The Fundamental Equation of Information; 3.1 Information Functions | |
| 505 | 8 | |a 3.2 Information Functions Continuous at the Origin-Entropies Which Are Small for Small Probabilities3.3 Nonnegative Bounded Information Functions and Entropies; 3.4 Measurable Information Functions and Entropies; 3.5 The General Solution of the Fundamental Equation of Information; Chapter 4. Further Characterizations of tbe Shannon Entropy; 4.1 The Branching Property; 4.2 Entropies with the Sum Property; 4.3 Characterization of the Shannon Entropy by the Shannon Inequality; 4.4 Subadditive Additive Entropies; Chapter 5. Rényi Entropies; 5.1 Entropies and Mean Values | |
| 505 | 8 | |a 5.2 Equality of Average Probabilities. Additivity of Average Entropies5.3 Rényi Entropies for Possibly Incomplete Distributions; 5.4 Optimal Coding and Rényi Entropies; 5.5 Characterization of ß-Averages; Chapter 6. Generalized Information Functions; 6.1 Relative Information; 6.2 Information Functions of Degree a; 6.3 Generalized Entropies; Chapter 7. Further Measures of Information; 7.1 Further Entropies. Other Measures of Information Derived Algebraically from Entropies; 7.2 Further Measures of Information Depending on Two Probability Distributions | |
| 505 | 8 | |a 7.3 Some Measures of Information Depending on Three DistributionsReferences; Author Index; Subject Index | |
| 520 | |a On measures of information and their characterizations. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Entropy (Information theory) | |
| 650 | 6 | |a Entropie (Théorie de l'information) | |
| 650 | 7 | |a REFERENCE |x Questions & Answers. |2 bisacsh | |
| 650 | 7 | |a Entropy (Information theory) |2 fast | |
| 700 | 1 | |a Daróczy, Zoltán. | |
| 776 | 0 | 8 | |i Print version: |a Aczél, J. |t On measures of information and their characterizations. |d New York : Academic Press, 1975 |z 9780120437603 |w (DLC) 74017968 |w (OCoLC)1175852 |
| 830 | 0 | |a Mathematics in science and engineering ; |v v. 115. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=296977 |z Texto completo |
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