The method of maximum entropy:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore u.a.
World Scientific
1995
|
| Series: | Series on advances in mathematics for applied sciences
29 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 146 S. |
| ISBN: | 9810218125 |
Staff View
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Record in the Search Index
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| adam_text | SERIES ON ADVANCES IN MATHEMATICS FOR APPLIED SCIENCES - VOL. 29 THE
METHOD OF MAXIMUM ENTROPY HENRYK GZYL FACULTAD DE CIENCIAS UNIVERSIDAD
CENTRAL DE VENEZUELA WORLD SCIENTIFIC SINGAPORE * NEW JERSEY * LONDON *
HONG KONG TABLE OF CONTENTS PREFACE V CHAPTER 0 INTRODUCTION 1 CHAPTER 1
BASIC CONCEPTS FROM PROBABILITY THEORY 7 CHAPTER 2 EQUILIBRIUM
DISTRIBUTIONS IN STATISTICAL MECHANICS 17 CHAPTER 3 SOME HEURISTICS 23
CHAPTER 4 ENTROPY FUNCTIONAL 27 1. BASICS 27 2. ENTROPY INEQUALITIES
35 3. AXIOMATIC CHARACTERIZATION OF ENTROPIES 39 CHAPTER 5 THE METHOD OF
MAXIMUM ENTROPY 41 1. FALLBACK S AND JAYNES RECONSTRUCTION METHODS 41
2. CZIZAR S RESULTS 44 3. BORWEIN AND LEWIS EXTENSIONS 49 4.
DACUNHA-CASTELLE AND GAMBOA S APPROACH TO LEVEL 2 M.EM. 49 CHAPTER 6
APPLICATIONS AND EXTENSIONS 61 1. ENTROPY MAXIMIZATION UNDER QUADRATIC
CONSTRAINTS, OR CONSTRAINT RELAXATION 6 1 2. FAILURE OF MAXIMUM ENTROPY
METHODS FOR RECONSTRUCTION IN INFINITE SYSTEMS 63 3. SOME FINITE
DIMENSIONAL, LINEAR RECONSTRUCTION PROBLEMS 67 4. MAXENTROPIC APPROACH
TO LINEAR PROGRAMMING 72 5. ENTROPY AS LYAPUNOV FUNCTIONAL. FURTHER
COMMENTS 75 6. SOLVING MATRIX EQUATIONS 78 7. ESTIMATION OF TRANSITION
PROBABILITIES 80 8. MAXENTROPIC RECONSTRUCTION OF VELOCITY PROFILES 83
VIII CONTENTS 9. FRAGMENTATION IN A NUCLEAR REACTION 86 10. MAXENTROPIC
INVERSION OF LAPLACE TRANSFORMS 88 11. MAXENTROPIC INVERSION OF FOURIER
TRANSFORMS 90 12. MAXENTROPIC SPECTRAL ESTIMATION 93 13. MAXENTROPIC
SOLUTION OF INTEGRAL EQUATIONS 100 14. MAXENTROPIC IMAGE RECONSTRUCTION
103 75. AN APPLICATION IN SYSTEMS ANALYSIS 105 16. DISTRIBUTIONS WITH
PREASSIGNED MARGINALS AND RELATED PROBLEMS 107 17. MAXENTROPIC APPROACH
TO THE MOMENT PROBLEM 110 18. MAXENTROPIC TAXATION POLICIES 113 19. THE
STIELTJES MOMENT PROBLEM 115 20. THE HAMBURGER MOMENT PROBLEM 119 21.
APPLICATIONS TO DATA ANALYSIS 121 CHAPTER 7 ENTROPY AND LARGE DEVIATIONS
127 CHAPTER 8 MAXIMUM ENTROPY AND CONDITIONAL PROBABILITIES 135 CHAPTER
9 MAXIMUM ENTROPY AND STATISTICS 139 /. GAUSS PRINCIPLE AND MINIMUM
DISCRIMINATION 139 2. SUFFICIENCY 142 3. SOME VERY ELEMENTARY BAYESIAN
STATISTICS 144
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:53:35Z |
| institution | BVB |
| isbn | 9810218125 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006999131 |
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| physical | VIII, 146 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | World Scientific |
| record_format | marc |
| series | Series on advances in mathematics for applied sciences |
| series2 | Series on advances in mathematics for applied sciences |
| spelling | Gzyl, Henryk Verfasser aut The method of maximum entropy Henryk Gzyl Singapore u.a. World Scientific 1995 VIII, 146 S. txt rdacontent n rdamedia nc rdacarrier Series on advances in mathematics for applied sciences 29 Entropie maximale, méthode d' ram Entropie gtt Mathematische fysica gtt Maximum entropy method Maximum-Entropie-Methode (DE-588)4277537-1 gnd rswk-swf Maximum-Entropie-Methode (DE-588)4277537-1 s DE-604 Series on advances in mathematics for applied sciences 29 (DE-604)BV004569239 29 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006999131&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gzyl, Henryk The method of maximum entropy Series on advances in mathematics for applied sciences Entropie maximale, méthode d' ram Entropie gtt Mathematische fysica gtt Maximum entropy method Maximum-Entropie-Methode (DE-588)4277537-1 gnd |
| subject_GND | (DE-588)4277537-1 |
| title | The method of maximum entropy |
| title_auth | The method of maximum entropy |
| title_exact_search | The method of maximum entropy |
| title_full | The method of maximum entropy Henryk Gzyl |
| title_fullStr | The method of maximum entropy Henryk Gzyl |
| title_full_unstemmed | The method of maximum entropy Henryk Gzyl |
| title_short | The method of maximum entropy |
| title_sort | the method of maximum entropy |
| topic | Entropie maximale, méthode d' ram Entropie gtt Mathematische fysica gtt Maximum entropy method Maximum-Entropie-Methode (DE-588)4277537-1 gnd |
| topic_facet | Entropie maximale, méthode d' Entropie Mathematische fysica Maximum entropy method Maximum-Entropie-Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006999131&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004569239 |
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