Possibilistic reasoning with imprecise probabilities: statistical inference and dynamic filtering:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Düren
Shaker Verlag
2022
|
| Ausgabe: | 1. Auflage |
| Schriftenreihe: | Schriften aus dem Institut für Technische und Numerische Mechanik der Universität Stuttgart
Band 74/2022 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 218 Seiten Illustrationen, Diagramme 21 cm x 14.8 cm, 350 g |
| ISBN: | 9783844087215 3844087214 |
Internformat
MARC
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| 245 | 1 | 0 | |a Possibilistic reasoning with imprecise probabilities: statistical inference and dynamic filtering |c Dominik Hose |
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| 264 | 1 | |a Düren |b Shaker Verlag |c 2022 | |
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| 653 | |a Filtering | ||
| 653 | |a Possibility Theory | ||
| 653 | |a Uncertainty Quantification | ||
| 653 | |a Statistical Inference | ||
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Datensatz im Suchindex
| _version_ | 1804184642360705024 |
|---|---|
| adam_text | CONTENTS
ZUSAMMENFASSUNG
.....................................................................................................
XI
ABSTRACT
........................................................................................................................
XIII
1
INTRODUCTION
1
1.1
TYPES
OF
UNCERTAINTY
.....................................................................................
2
1.2
LANGUAGES
OF
UNCERTAINTY
............................................................................
4
1.3
POSSIBILISTIC
UNCERTAINTY
QUANTIFICATION
......................................................
9
1.4
COMPOSITION
AND
CONTRIBUTIONS
OF
THIS
THESIS
..........................................
10
2
POSSIBILITIES
AND
IMPRECISE
PROBABILITIES
13
2.1
PROBABILITY
AND
POSSIBILITY
MEASURES
.........................................................
13
2.2
QUALITATIVE
POSSIBILITY
THEORY
.....................................................................
26
2.3
QUANTITATIVE
POSSIBILITY
THEORY
..................................................................
28
3
IMPRECISE
VARIABLES
49
3.1
DISTRIBUTIONS
.................................................................................................
49
3.2
EXTENSION
.......................................................................................................
58
3.3
STOCHASTIC
DOMINANCE
..................................................................................
69
3.4
IMPRECISE
EXPECTATIONS
AND
MOMENTS
.........................................................
74
3.5
DEPENDENCY
AND
INTERACTION
.........................................................................
78
4
POSSIBILISTIC
STATISTICS
91
4.1
STATISTICAL
SETUP
..............................................................................................
93
4.2
INFERENTIAL
MODELS
...........................................................................................
94
4.3
POSSIBILISTIC
INFERENCE
.....................................................................................
110
CONTENTS
CONTENTS
5
MEMBERSHIP
COMPUTATIONS
135
5.1
MEMBERSHIP
TRANSFORMS
................................................................................
135
5.2
MEMBERSHIP
ARITHMETIC
................................................................................
141
6
POSSIBILISTIC
FILTERING
165
6.1
FORMULATION
......................................................................................................
166
6.2
IMPLEMENTATION
................................................................................................
179
6.3
APPLICATION:
ROBOT
LOCALIZATION
....................................................................
184
7
CONCLUSION
AND
OUTLOOK
193
APPENDICES
197
BIBLIOGRAPHY
201
NOMENCLATURE
AND
NOTATION
215
|
| adam_txt |
CONTENTS
ZUSAMMENFASSUNG
.
XI
ABSTRACT
.
XIII
1
INTRODUCTION
1
1.1
TYPES
OF
UNCERTAINTY
.
2
1.2
LANGUAGES
OF
UNCERTAINTY
.
4
1.3
POSSIBILISTIC
UNCERTAINTY
QUANTIFICATION
.
9
1.4
COMPOSITION
AND
CONTRIBUTIONS
OF
THIS
THESIS
.
10
2
POSSIBILITIES
AND
IMPRECISE
PROBABILITIES
13
2.1
PROBABILITY
AND
POSSIBILITY
MEASURES
.
13
2.2
QUALITATIVE
POSSIBILITY
THEORY
.
26
2.3
QUANTITATIVE
POSSIBILITY
THEORY
.
28
3
IMPRECISE
VARIABLES
49
3.1
DISTRIBUTIONS
.
49
3.2
EXTENSION
.
58
3.3
STOCHASTIC
DOMINANCE
.
69
3.4
IMPRECISE
EXPECTATIONS
AND
MOMENTS
.
74
3.5
DEPENDENCY
AND
INTERACTION
.
78
4
POSSIBILISTIC
STATISTICS
91
4.1
STATISTICAL
SETUP
.
93
4.2
INFERENTIAL
MODELS
.
94
4.3
POSSIBILISTIC
INFERENCE
.
110
CONTENTS
CONTENTS
5
MEMBERSHIP
COMPUTATIONS
135
5.1
MEMBERSHIP
TRANSFORMS
.
135
5.2
MEMBERSHIP
ARITHMETIC
.
141
6
POSSIBILISTIC
FILTERING
165
6.1
FORMULATION
.
166
6.2
IMPLEMENTATION
.
179
6.3
APPLICATION:
ROBOT
LOCALIZATION
.
184
7
CONCLUSION
AND
OUTLOOK
193
APPENDICES
197
BIBLIOGRAPHY
201
NOMENCLATURE
AND
NOTATION
215 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Hose, Dominik |
| author_GND | (DE-588)1266887504 |
| author_facet | Hose, Dominik |
| author_role | aut |
| author_sort | Hose, Dominik |
| author_variant | d h dh |
| building | Verbundindex |
| bvnumber | BV048598683 |
| classification_rvk | SK 880 |
| classification_tum | MAT 620 |
| ctrlnum | (OCoLC)1365380209 (DE-599)DNB1262588634 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 1. Auflage |
| format | Thesis Book |
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| language | English |
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| physical | XIV, 218 Seiten Illustrationen, Diagramme 21 cm x 14.8 cm, 350 g |
| publishDate | 2022 |
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| publishDateSort | 2022 |
| publisher | Shaker Verlag |
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| series | Schriften aus dem Institut für Technische und Numerische Mechanik der Universität Stuttgart |
| series2 | Schriften aus dem Institut für Technische und Numerische Mechanik der Universität Stuttgart |
| spelling | Hose, Dominik Verfasser (DE-588)1266887504 aut Possibilistic reasoning with imprecise probabilities: statistical inference and dynamic filtering Dominik Hose 1. Auflage Düren Shaker Verlag 2022 XIV, 218 Seiten Illustrationen, Diagramme 21 cm x 14.8 cm, 350 g txt rdacontent n rdamedia nc rdacarrier Schriften aus dem Institut für Technische und Numerische Mechanik der Universität Stuttgart Band 74/2022 Dissertation Universität Stuttgart 2022 Unsicherheit (DE-588)4186957-6 gnd rswk-swf Possibilitätstheorie (DE-588)4582030-2 gnd rswk-swf Hochschulschrift (DE-588)4113937-9 gnd rswk-swf Numerisches Modell (DE-588)4338132-7 gnd rswk-swf Technisches System (DE-588)4126276-1 gnd rswk-swf Imprecise Probabilities Filtering Possibility Theory Uncertainty Quantification Statistical Inference (DE-588)4113937-9 Hochschulschrift gnd-content Possibilitätstheorie (DE-588)4582030-2 s Hochschulschrift (DE-588)4113937-9 s DE-604 Technisches System (DE-588)4126276-1 s Numerisches Modell (DE-588)4338132-7 s Unsicherheit (DE-588)4186957-6 s Shaker Verlag (DE-588)1064118135 pbl Schriften aus dem Institut für Technische und Numerische Mechanik der Universität Stuttgart Band 74/2022 (DE-604)BV021301685 2022,74 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033974266&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p vlb 20220715 DE-101 https://d-nb.info/provenance/plan#vlb |
| spellingShingle | Hose, Dominik Possibilistic reasoning with imprecise probabilities: statistical inference and dynamic filtering Schriften aus dem Institut für Technische und Numerische Mechanik der Universität Stuttgart Unsicherheit (DE-588)4186957-6 gnd Possibilitätstheorie (DE-588)4582030-2 gnd Hochschulschrift (DE-588)4113937-9 gnd Numerisches Modell (DE-588)4338132-7 gnd Technisches System (DE-588)4126276-1 gnd |
| subject_GND | (DE-588)4186957-6 (DE-588)4582030-2 (DE-588)4113937-9 (DE-588)4338132-7 (DE-588)4126276-1 |
| title | Possibilistic reasoning with imprecise probabilities: statistical inference and dynamic filtering |
| title_auth | Possibilistic reasoning with imprecise probabilities: statistical inference and dynamic filtering |
| title_exact_search | Possibilistic reasoning with imprecise probabilities: statistical inference and dynamic filtering |
| title_exact_search_txtP | Possibilistic reasoning with imprecise probabilities: statistical inference and dynamic filtering |
| title_full | Possibilistic reasoning with imprecise probabilities: statistical inference and dynamic filtering Dominik Hose |
| title_fullStr | Possibilistic reasoning with imprecise probabilities: statistical inference and dynamic filtering Dominik Hose |
| title_full_unstemmed | Possibilistic reasoning with imprecise probabilities: statistical inference and dynamic filtering Dominik Hose |
| title_short | Possibilistic reasoning with imprecise probabilities: statistical inference and dynamic filtering |
| title_sort | possibilistic reasoning with imprecise probabilities statistical inference and dynamic filtering |
| topic | Unsicherheit (DE-588)4186957-6 gnd Possibilitätstheorie (DE-588)4582030-2 gnd Hochschulschrift (DE-588)4113937-9 gnd Numerisches Modell (DE-588)4338132-7 gnd Technisches System (DE-588)4126276-1 gnd |
| topic_facet | Unsicherheit Possibilitätstheorie Hochschulschrift Numerisches Modell Technisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033974266&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021301685 |
| work_keys_str_mv | AT hosedominik possibilisticreasoningwithimpreciseprobabilitiesstatisticalinferenceanddynamicfiltering AT shakerverlag possibilisticreasoningwithimpreciseprobabilitiesstatisticalinferenceanddynamicfiltering |