Abstract methods in information theory:
Information Theory is studied from the following view points: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and the...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1999
|
| Schriftenreihe: | Series on multivariate analysis
v. 4 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | Information Theory is studied from the following view points: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and their basic properties are examined, where the latter entropy is extended to be a linear functional on a certain set of measures. Ergodic and mixing properties of stationary sources are studied as well as AMS (asymptotically mean stationary) sources. The main purpose of this book is to present information channels in the environment of real and functional analysis as well as probability theory. Ergodic channels are characterized in various manners. Mixing and AMS channels are also considered in detail with some illustrations. A few other aspects of information channels including measurability, approximation and noncommutative extensions, are also discussed |
| Beschreibung: | xii, 251 p |
| ISBN: | 9789812815767 9812815767 |
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| 520 | |a Information Theory is studied from the following view points: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and their basic properties are examined, where the latter entropy is extended to be a linear functional on a certain set of measures. Ergodic and mixing properties of stationary sources are studied as well as AMS (asymptotically mean stationary) sources. The main purpose of this book is to present information channels in the environment of real and functional analysis as well as probability theory. Ergodic channels are characterized in various manners. Mixing and AMS channels are also considered in detail with some illustrations. A few other aspects of information channels including measurability, approximation and noncommutative extensions, are also discussed | ||
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Datensatz im Suchindex
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| author | Kakihara, Yuichiro |
| author_facet | Kakihara, Yuichiro |
| author_role | aut |
| author_sort | Kakihara, Yuichiro |
| author_variant | y k yk |
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| bvnumber | BV044636501 |
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| ctrlnum | (ZDB-124-WOP)00004272 (OCoLC)1005231526 (DE-599)BVBBV044636501 |
| dewey-full | 003.54 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 003 - Systems |
| dewey-raw | 003.54 |
| dewey-search | 003.54 |
| dewey-sort | 13.54 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Sprachwissenschaft Mathematik Literaturwissenschaft |
| format | Electronic eBook |
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| id | DE-604.BV044636501 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:49Z |
| institution | BVB |
| isbn | 9789812815767 9812815767 |
| language | English |
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| physical | xii, 251 p |
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| series2 | Series on multivariate analysis |
| spelling | Kakihara, Yuichiro Verfasser aut Abstract methods in information theory Yuichiro Kakihara Singapore World Scientific Pub. Co. c1999 xii, 251 p txt rdacontent c rdamedia cr rdacarrier Series on multivariate analysis v. 4 Information Theory is studied from the following view points: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and their basic properties are examined, where the latter entropy is extended to be a linear functional on a certain set of measures. Ergodic and mixing properties of stationary sources are studied as well as AMS (asymptotically mean stationary) sources. The main purpose of this book is to present information channels in the environment of real and functional analysis as well as probability theory. Ergodic channels are characterized in various manners. Mixing and AMS channels are also considered in detail with some illustrations. A few other aspects of information channels including measurability, approximation and noncommutative extensions, are also discussed Information theory Functional analysis Informationstheorie (DE-588)4026927-9 gnd rswk-swf Informationstheorie (DE-588)4026927-9 s DE-604 Erscheint auch als Druck-Ausgabe 9789810237110 Erscheint auch als Druck-Ausgabe 9810237111 http://www.worldscientific.com/worldscibooks/10.1142/3978#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Kakihara, Yuichiro Abstract methods in information theory Information theory Functional analysis Informationstheorie (DE-588)4026927-9 gnd |
| subject_GND | (DE-588)4026927-9 |
| title | Abstract methods in information theory |
| title_auth | Abstract methods in information theory |
| title_exact_search | Abstract methods in information theory |
| title_full | Abstract methods in information theory Yuichiro Kakihara |
| title_fullStr | Abstract methods in information theory Yuichiro Kakihara |
| title_full_unstemmed | Abstract methods in information theory Yuichiro Kakihara |
| title_short | Abstract methods in information theory |
| title_sort | abstract methods in information theory |
| topic | Information theory Functional analysis Informationstheorie (DE-588)4026927-9 gnd |
| topic_facet | Information theory Functional analysis Informationstheorie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/3978#t=toc |
| work_keys_str_mv | AT kakiharayuichiro abstractmethodsininformationtheory |