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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 Texto completo Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn316563947 | ||
| 003 | OCoLC | ||
| 005 | 20231117015230.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 090320s1975 nyu ob 001 0 eng d | ||
| 040 | |a OPELS |b eng |e pn |c OPELS |d N$T |d OCLCQ |d EBLCP |d IDEBK |d OPELS |d E7B |d OCLCQ |d OPELS |d OCLCQ |d OCLCF |d DEBBG |d OCLCQ |d NLGGC |d DEBSZ |d OCLCQ |d COO |d OCLCQ |d AGLDB |d OCLCQ |d VTS |d STF |d LEAUB |d M8D |d OCLCQ |d OCLCO |d INARC |d SGP |d OCLCQ |d OCLCO | ||
| 019 | |a 646827576 | ||
| 020 | |a 9780120437603 |q (electronic bk.) | ||
| 020 | |a 0120437600 |q (electronic bk.) | ||
| 020 | |a 9780080956244 |q (electronic bk.) | ||
| 020 | |a 0080956246 |q (electronic bk.) | ||
| 024 | 3 | |a 9780120437603 | |
| 035 | |a (OCoLC)316563947 |z (OCoLC)646827576 | ||
| 050 | 4 | |a Q370 |b .A26 1975eb | |
| 072 | 7 | |a REF |x 018000 |2 bisacsh | |
| 082 | 0 | 4 | |a 001.53/9 |2 22 |
| 100 | 1 | |a Acz�el, J. | |
| 245 | 1 | 0 | |a On measures of information and their characterizations / |c J. Acz�el, Z. Dar�oczy. |
| 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. R�enyi Entropies; 5.1 Entropies and Mean Values | |
| 505 | 8 | |a 5.2 Equality of Average Probabilities. Additivity of Average Entropies5.3 R�enyi Entropies for Possibly Incomplete Distributions; 5.4 Optimal Coding and R�enyi Entropies; 5.5 Characterization of �-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. | ||
| 650 | 0 | |a Entropy (Information theory) | |
| 650 | 6 | |a Entropie (Th�eorie de l'information) |0 (CaQQLa)201-0067146 | |
| 650 | 7 | |a REFERENCE |x Questions & Answers. |2 bisacsh | |
| 650 | 7 | |a Entropy (Information theory) |2 fast |0 (OCoLC)fst00912828 | |
| 700 | 1 | |a Dar�oczy, Zolt�an. | |
| 776 | 0 | 8 | |i Print version: |a Acz�el, 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://sciencedirect.uam.elogim.com/science/book/9780120437603 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=115 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/115 |z Texto completo |