Abstract methods in information theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
1999
|
| Series: | Series on multivariate analysis
4 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 251 S. |
| ISBN: | 9810237111 |
Staff View
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Record in the Search Index
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| adam_text | SERIES ON ABSTRACT METHODS IN INFORMATION THEORY YUICHIRO KAKIHARA
DEPARTMENT OF MATHEMATICS UNIVERSITY OF CALIFORNIA, RIVERSIDE USA WORLD
SCIENTIFIC SINGAPORE *NEW JERSEY * LONDON * HONG KONG CONTENTS PREFACE
VII CHAPTER I. ENTROPY 1 1.1. THE SHANNON ENTROPY 1 1.2. CONDITIONAL
EXPECTATIONS 11 1.3. THE KOLMOGOROV-SINAI ENTROPY 16 1.4. ALGEBRAIC
MODELS 29 1.5. ENTROPY FUNCTIONALS 41 1.6. RELATIVE ENTROPY AND
KULLBACK-LEIBLER INFORMATION 49 BIBLIOGRAPHICAL NOTES 63 CHAPTER II.
INFORMATION SOURCES 67 2.1. ALPHABET MESSAGE SPACES AND INFORMATION
SOURCES 67 2.2. ERGODIC THEOREMS 71 2.3. ERGODIC AND MIXING PROPERTIES
75 2.4. AMS SOURCES 91 2.5. SHANNON-MCMILLAN-BREIMAN THEOREM 99 2.6.
ERGODIC DECOMPOSITIONS 106 2.7. ENTROPY FUNCTIONALS, REVISITED 110
BIBLIOGRAPHICAL NOTES 119 CHAPTER III. INFORMATION CHANNELS 121 3.1.
INFORMATION CHANNELS 121 3.2. CHANNEL OPERATORS 129 3.3. MIXING CHANNELS
136 3.4. ERGODIC CHANNELS 147 3.5. AMS CHANNELS 156 3.6. CAPACITY AND
TRANSMISSION RATE 166 3.7. CODING THEOREMS 178 BIBLIOGRAPHICAL NOTES 187
CHAPTER IV. SPECIAL TOPICS 189 4.1. CHANNELS WITH A NOISE SOURCE 189 XII
CONTENTS 4.2. MEASURABILITY OF A CHANNEL 196 4.3. APPROXIMATION OF
CHANNELS 202 4.4. HARMONIC ANALYSIS FOR CHANNELS 207 4.5. NONCOMMUTATIVE
CHANNELS 214 BIBLIOGRAPHICAL NOTES 222 REFERENCES 225 INDICES 239
NOTATION INDEX 239 AUTHOR INDEX 244 SUBJECT INDEX 247
|
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| dewey-full | 003/.54 003/.5421 |
| dewey-hundreds | 000 - Computer science, information, general works |
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| dewey-search | 003/.54 003/.54 21 |
| dewey-sort | 13 254 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Sprachwissenschaft Mathematik Literaturwissenschaft |
| format | Book |
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| id | DE-604.BV012819845 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:34:15Z |
| institution | BVB |
| isbn | 9810237111 |
| language | English |
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| physical | XII, 251 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | World Scientific |
| record_format | marc |
| series | Series on multivariate analysis |
| series2 | Series on multivariate analysis |
| spelling | Kakihara, Yûichirô Verfasser aut Abstract methods in information theory Yûichirô Kakihara Singapore [u.a.] World Scientific 1999 XII, 251 S. txt rdacontent n rdamedia nc rdacarrier Series on multivariate analysis 4 Analyse fonctionnelle ram Information, Théorie de l' ram Information theory Functional analysis Informationstheorie (DE-588)4026927-9 gnd rswk-swf Informationstheorie (DE-588)4026927-9 s DE-604 Series on multivariate analysis 4 (DE-604)BV010950028 4 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008720832&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kakihara, Yûichirô Abstract methods in information theory Series on multivariate analysis Analyse fonctionnelle ram Information, Théorie de l' ram 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 Yûichirô Kakihara |
| title_fullStr | Abstract methods in information theory Yûichirô Kakihara |
| title_full_unstemmed | Abstract methods in information theory Yûichirô Kakihara |
| title_short | Abstract methods in information theory |
| title_sort | abstract methods in information theory |
| topic | Analyse fonctionnelle ram Information, Théorie de l' ram Information theory Functional analysis Informationstheorie (DE-588)4026927-9 gnd |
| topic_facet | Analyse fonctionnelle Information, Théorie de l' Information theory Functional analysis Informationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008720832&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV010950028 |
| work_keys_str_mv | AT kakiharayuichiro abstractmethodsininformationtheory |