Data-based decisions under complex uncertainty:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
München
Dr. Hut
2009
|
| Edition: | 1. Aufl. |
| Subjects: | |
| Online Access: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:19-98740 Inhaltsverzeichnis |
| Physical Description: | X, 225 S. graph. Darst. |
| ISBN: | 9783868530124 |
Staff View
MARC
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| 650 | 7 | |a mathematics |2 cabt | |
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| 650 | 7 | |a equations |2 cabt | |
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Record in the Search Index
| _version_ | 1804138868387086336 |
|---|---|
| adam_text | CONTENTS 1 INTRODUCTION 1 2 TOPOLOGICAL ASPECTS OF IMPRECISE
PROBABILITIES 11 2.1 INTRODUCTION 11 2.2 PRECISE PROBABILITIES 12 2.2.1
PROBABILITY CHARGES 12 2.2.2 PROBABILITY MEASURES 16 2.2.3 CR-ADDITIVITY
17 2.3 COHERENT UPPER PREVISIONS 18 2.4 UPPER/LOWER EXPECTATIONS AND
F-PROBABILITIES 20 2.4.1 DEFINITIONS AND BASIC PROPERTIES 20 2.4.2
CONTINUOUS UPPER EXPECTATIONS 25 2.4.3 UPPER EXPECTATIONS ON POLISH
SPACES 26 2.4.4 UPPER EXPECTATIONS ON COMPACT HAUSDORFF SPACES 31 2.4.5
F-PROBABILITIES 33 2.5 REPRESENTATION OF COHERENT UPPER PREVISIONS 35
2.5.1 INTRODUCTION 35 2.5.2 STONE REPRESENTATION 36 2.5.3 COHERENT UPPER
PREVISIONS REPRESENTED BY UPPER EXPECTATIONS . . . . 40 3 EXTENDED
DECISION THEORETIC FRAMEWORK 45 3.1 INTRODUCTION 45 3.2 BASIC
DEFINITIONS IN DECISION THEORY 48 3.3 EXTENDED DECISION THEORETIC
CONCEPTS 50 3.3.1 GENERALIZED RANDOMIZATIONS 50 3.3.1.1 DEFINITIONS AND
BASIC PROPERTIES 50 3.3.1.2 GENERALIZED DECISION PROCEDURES 55 3.3.2
SUFFICIENCY AND EQUIVALENCE OF IMPRECISE MODEIS 55 3.3.2.1 DEFINITIONS
AND BASIC PROPERTIES 55 3.3.2.2 EXAMPLES 59 3.3.3 STANDARD MODELS 63 3.4
CONNECTION TO LE CAM S GENERAL SETUP 68 3.4.1 OUTLINE OF LE CAM S
GENERAL SETUP 68 3.4.1. BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/993260349 DIGITALISIERT DURCH I CONTENTS 3.4.2
ACCORDANCE WITH LE CAM S GENERAL SETUP 77 LEAST FAVORABLE MODEIS 83 4.1
INTRODUCTION 83 4.1.1 OUTLINE 83 4.1.2 ON AN ERROR IN BUJA (1984) 85
4.1.2.1 BUJA S STATEMENT AND A COUNTER-EXAMPLE 85 4.1.2.2 CONSEQUENCES
87 4.2 DECISION PROBLEMS WITH N STATES OF NATURE 88 4.2.1 MINIMAL BAYES
RISKS 88 4.2.1.1 INTRODUCTION 88 4.2.1.2 PRECISE MODELS 90 4.2.1.3
IMPRECISE MODELS 91 4.2.2 A GENERAL
LECAM-BLACKWELL-SHERMAN-STEIN-THEOREM 93 4.2.3 LEAST FAVORABLE MODEIS
FOR N STATES OF NATURE 95 4.2.4 APPLICATION OF LEAST FAVORABLE MODELS 97
4.3 STATISTICAL HYPOTHESIS TESTING 101 4.3.1 DECISION THEORETIC
FORMULATION OF HYPOTHESIS TESTING 101 4.3.2 GENERALIZED TESTS 105 4.3.3
LEAST FAVORABLE PAIRS IN HYPOTHESIS TESTING 111 NATURAL EXTENSIONS AND
THE SAMPLE SPACE 115 5.1 INTRODUCTION 115 5.2 INSTABILITY OF THE NATURAL
EXTENSION 118 5.2.1 A FIRST EXAMPLE 118 5.2.2 STABLE IMPRECISE
PROBABILITIES 120 5.3 EXTENSIONS AND REDUCTIONS OF THE SAMPLE SPACE 126
5.3.1 EXTENSION OF ALGEBRAS AND NATURAL EXTENSION OF PREVISIONS 126
5.3.1.1 DESCRIPTION OF THE PROBLEM 126 5.3.1.2 MAIN RESULTS AND OUTLINE
OF THE PROOF 128 5.3.1.3 PROOF OF THE MAIN RESULT 132 5.3.2 REDUCTION OF
THE SAMPLE SPACE 136 5.4 APPLICATION: DISCRETIZATIONS 137 5.4. CONTENTS
IX 6.6.3 LINEAR REGRESSION 192 7 CONCLUSION AND OUTLOOK 199 8 APPENDIX
203 8.1 VECTOR LATTICES 203 8.2 WEAK TOPOLOGIES 207 8.3 SOME TECHNICAL
LEMMAS 209
|
| any_adam_object | 1 |
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| building | Verbundindex |
| bvnumber | BV035428233 |
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| ctrlnum | (OCoLC)391428993 (DE-599)BVBBV035428233 |
| dewey-full | 519.542 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.542 |
| dewey-search | 519.542 |
| dewey-sort | 3519.542 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV035428233 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:35:01Z |
| institution | BVB |
| isbn | 9783868530124 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017348668 |
| oclc_num | 391428993 |
| open_access_boolean | 1 |
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| physical | X, 225 S. graph. Darst. |
| psigel | ebook |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Dr. Hut |
| record_format | marc |
| spelling | Hable, Robert 1981- Verfasser (DE-588)137994044 aut Data-based decisions under complex uncertainty Robert Hable 1. Aufl. München Dr. Hut 2009 X, 225 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zugl.: München, Univ., Diss., 2009 statistical analysis cabt probability cabt mathematics cabt biometry cabt equations cabt Entscheidung bei Unsicherheit Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Entscheidung bei Unsicherheit (DE-588)4070864-0 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:19-98740 http://edoc.ub.uni-muenchen.de/9874/ Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:19-98740 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017348668&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hable, Robert 1981- Data-based decisions under complex uncertainty statistical analysis cabt probability cabt mathematics cabt biometry cabt equations cabt Entscheidung bei Unsicherheit Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd |
| subject_GND | (DE-588)4070864-0 (DE-588)4113937-9 |
| title | Data-based decisions under complex uncertainty |
| title_auth | Data-based decisions under complex uncertainty |
| title_exact_search | Data-based decisions under complex uncertainty |
| title_full | Data-based decisions under complex uncertainty Robert Hable |
| title_fullStr | Data-based decisions under complex uncertainty Robert Hable |
| title_full_unstemmed | Data-based decisions under complex uncertainty Robert Hable |
| title_short | Data-based decisions under complex uncertainty |
| title_sort | data based decisions under complex uncertainty |
| topic | statistical analysis cabt probability cabt mathematics cabt biometry cabt equations cabt Entscheidung bei Unsicherheit Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd |
| topic_facet | statistical analysis probability mathematics biometry equations Entscheidung bei Unsicherheit Hochschulschrift |
| url | http://edoc.ub.uni-muenchen.de/9874/ https://nbn-resolving.org/urn:nbn:de:bvb:19-98740 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017348668&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT hablerobert databaseddecisionsundercomplexuncertainty |