Characterization of information measures:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
1998
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 281 S. |
| ISBN: | 9810230060 |
Internformat
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Datensatz im Suchindex
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| adam_text | CHARACTERIZATIONS OF INFORMATION MEASURES BRUCE EBANKS DEPARTMENT OF
MATHEMATICS, MARSHALL UNIVERSITY, HUNTINGTON, WV 25755, USA PRASANNA
SAHOO DEPARTMENT OF MATHEMATICS, UNIVERSITY OF LOUISVILLE, KY 40292, USA
WOLFGANG SANDER INSTITUTE FOR ANALYSIS, TECHNICAL UNIVERSITY,
POCKELSSTRASSE 14, D-38106, BRAUNSCHWEIG, GERMANY WORLD SCIENTIFIC
SINGAPORE NEW JERSEY LONDON* HONG KONG CONTENTS 1. INTRODUCTION,
PRELIMINARIES AND NOTATION 1 1.1. INTRODUCTION AND NOTATION 1 1.2.
FUNCTIONAL EQUATION PRELIMINARIES 6 1.3. A GENERAL REGULARITY THEOREM 21
2. THE BRANCHING PROPERTY 29 2.1. INTRODUCTION 29 2.2. THE
CHARACTERISTIC FUNCTIONAL EQUATION FOR BRANCHING MEASURES OF INFORMATION
31 2.3. SYMMETRIC BRANCHING INFORMATION MEASURES 41 2.4. PARTIALLY
SYMMETRIC BRANCHING INFORMATION MEASURES . . . . 44 2.5. HISTORICAL
REMARKS 48 3. RECURSIVITY PROPERTIES 51 3.1. INTRODUCTION 51 3.2.
RECURSIVITY OF MULTIPLICATIVE TYPE 53 3.3. NONADDITIVE MULTIPLICATIVE
TYPES 57 3.4. ADDITIVE MULTIPLICATIVE TYPES 60 3.5. SUMMARY AND FURTHER
REMARKS 77 4. THE FUNDAMENTAL EQUATION OF INFORMATION AND REGULAR
RECURSIVE MEASURES 81 4.1. INTRODUCTION 81 4.2. GENERAL SOLUTION OF THE
FUNDAMENTAL EQUATION OF INFORMATION 84 4.3. REGULAR RECURSIVE MEASURES
88 4.4. SUMMARY 102 5. SUM FORM INFORMATION MEASURES AND ADDITIVITY
PROPERTIES 107 5.1. INTRODUCTION 107 5.2. ADDITIVITY 107 5.3.
GENERALIZED ADDITIVITIES 108 5.4. WEIGHTED ADDITIVITY 113 X CONTENTS 6.
BASIC SUM FORM FUNCTIONAL EQUATIONS 117 6.1. INTRODUCTION 117 6.2.
MEASURABLE SOLUTIONS OF (6.1.1) IN THE 1-DIMENSIONAL CASE . 118 6.3.
MEASURABLE SOLUTIONS OF (6.1.1) IN HIGHER DIMENSIONS . . . 130 6.4. SOME
GENERALIZED CAUCHY EQUATIONS 137 6.5. SOME LINEAR INDEPENDENCE RESULTS
ON ADDITIVE AND MULTIPLICATIVE FUNCTIONS 149 7. ADDITIVE SUM FORM
INFORMATION MEASURES 157 7.1. INTRODUCTION 157 7.2. SOLUTION OF (5.2.2)
IN THE CASE M 3 OR 3 158 7.3. SOLUTION OF (5.2.2) IN THE CASE =
2 = M 162 7.4. SOME HEURISTIC ARGUMENTS 166 8. ADDITIVE SUM FORM
INFORMATION MEASURES OF TYPE A 171 8.1. INTRODUCTION 171 8.2. A GENERAL
STRUCTURE THEOREM 174 8.3. SOLUTION OF (5.3.12) IN THE CASE M 3 OR I
3 188 8.4. SOLUTION OF (5.3.12) IN THE CASE I = M = 2 201 9. ADDITIVE
SUM FORM INFORMATION MEASURES OF MULTIPLICATIVE TYPE 221 9.1.
INTRODUCTION 221 9.2. PRELIMINARIES 222 9.3. SOLUTION OF (5.4.7) IN THE
CASE M 3 OR I 3 234 9.4. SOLUTION OF (5.4.7) IN THE CASE = M = 2
239 .*. 9.5. SUMMARY 258 REFERENCES 261 INDEX 277
|
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| ctrlnum | (OCoLC)39376622 (DE-599)BVBBV012571529 |
| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:29:53Z |
| institution | BVB |
| isbn | 9810230060 |
| language | English |
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| physical | X, 281 S. |
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| publisher | World Scientific |
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| spelling | Ebanks, Bruce Verfasser aut Characterization of information measures Bruce Ebanks ; Prasanna Sahoo ; Wolfgang Sander Singapore [u.a.] World Scientific 1998 X, 281 S. txt rdacontent n rdamedia nc rdacarrier FUNCTIONAL ANALYSIS nasat INFORMATION THEORY nasat Information, Théorie de l', en mathématiques ram STATISTICAL ANALYSIS nasat mesure information inriac statistique inriac théorie information inriac Équations fonctionnelles ram équation fonctionnelle inriac Statistik Functional equations Information theory in mathematics Statistics Information (DE-588)4026899-8 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Informationstheorie (DE-588)4026927-9 gnd rswk-swf Information (DE-588)4026899-8 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Informationstheorie (DE-588)4026927-9 s Sahoo, Prasanna Verfasser aut Sander, Wolfgang Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008537336&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ebanks, Bruce Sahoo, Prasanna Sander, Wolfgang Characterization of information measures FUNCTIONAL ANALYSIS nasat INFORMATION THEORY nasat Information, Théorie de l', en mathématiques ram STATISTICAL ANALYSIS nasat mesure information inriac statistique inriac théorie information inriac Équations fonctionnelles ram équation fonctionnelle inriac Statistik Functional equations Information theory in mathematics Statistics Information (DE-588)4026899-8 gnd Mathematisches Modell (DE-588)4114528-8 gnd Informationstheorie (DE-588)4026927-9 gnd |
| subject_GND | (DE-588)4026899-8 (DE-588)4114528-8 (DE-588)4026927-9 |
| title | Characterization of information measures |
| title_auth | Characterization of information measures |
| title_exact_search | Characterization of information measures |
| title_full | Characterization of information measures Bruce Ebanks ; Prasanna Sahoo ; Wolfgang Sander |
| title_fullStr | Characterization of information measures Bruce Ebanks ; Prasanna Sahoo ; Wolfgang Sander |
| title_full_unstemmed | Characterization of information measures Bruce Ebanks ; Prasanna Sahoo ; Wolfgang Sander |
| title_short | Characterization of information measures |
| title_sort | characterization of information measures |
| topic | FUNCTIONAL ANALYSIS nasat INFORMATION THEORY nasat Information, Théorie de l', en mathématiques ram STATISTICAL ANALYSIS nasat mesure information inriac statistique inriac théorie information inriac Équations fonctionnelles ram équation fonctionnelle inriac Statistik Functional equations Information theory in mathematics Statistics Information (DE-588)4026899-8 gnd Mathematisches Modell (DE-588)4114528-8 gnd Informationstheorie (DE-588)4026927-9 gnd |
| topic_facet | FUNCTIONAL ANALYSIS INFORMATION THEORY Information, Théorie de l', en mathématiques STATISTICAL ANALYSIS mesure information statistique théorie information Équations fonctionnelles équation fonctionnelle Statistik Functional equations Information theory in mathematics Statistics Information Mathematisches Modell Informationstheorie |
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