A functional analytic approach to statistical experiments:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow
Longman Scientific & Technical
1990
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman research notes in mathematics series
237 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 116 S. |
| ISBN: | 058206869X |
Internformat
MARC
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| 100 | 1 | |a Bomze, Immanuel M. |d 1958- |e Verfasser |0 (DE-588)110173023 |4 aut | |
| 245 | 1 | 0 | |a A functional analytic approach to statistical experiments |c Immanuel M. Bomze |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow |b Longman Scientific & Technical |c 1990 | |
| 300 | |a 116 S. | ||
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| 490 | 1 | |a Pitman research notes in mathematics series |v 237 | |
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| 650 | 7 | |a Statistique mathématique |2 ram | |
| 650 | 4 | |a Experimental design | |
| 650 | 4 | |a Mathematical statistics | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Introduction 1
1. Generalized random elements and convex operations
1.1. Experiments and their L and M spaces 6
1.2. Convex operations and multiplication 13
¦ 1.3. Generalized random elements taking values in a Banach space 18
1.4. Convex loss functions on Banach spaces 23
1.5. Representation of generalized random elements 29
2. Sub algebras and conditional expectations
2.1. Representations of sub algebras in M. 32
2.2. Projections and conditional expectations 37
2.3. Jensen s inequality 40
3. Sufficiency
3.1. Sufficient subalgebras and projections 44
3.2. Sufficiency characterizations and related properties 46
3.3. Intersections; the minimal sufficient sub algebra 51
3.4. Banach space results 54
4. Optimality and admissibility in unbiased estimation
4.1. Unbiased estimation in the classical context: a summary 56
4.2. Auxiliary results 61
4.3. Optimality and admissibility 64
4.4. The role of sufficiency and completeness 66
4.5. Existence of nontrivial optimal estimators 68
4.6. Generalized Banach space valued unbiased estimation 71
5. Invariance
5.1. Transitions 76
5.2. Sufficiency and invariance; full models 80
5.3. Calculation of TIg, I special group properties 85
5.4. Calculation of Ho, II.: invariance approximation property 90
5.5. Maximal invariants and metric transitivity 94
5.6. Banach space results 97
Appendix: Alternative representation of M spaces 100
References 110
List of symbols 115
|
| any_adam_object | 1 |
| author | Bomze, Immanuel M. 1958- |
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| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV004417294 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:12:46Z |
| institution | BVB |
| isbn | 058206869X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002740908 |
| oclc_num | 21524558 |
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| physical | 116 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Longman Scientific & Technical |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Bomze, Immanuel M. 1958- Verfasser (DE-588)110173023 aut A functional analytic approach to statistical experiments Immanuel M. Bomze 1. publ. Harlow Longman Scientific & Technical 1990 116 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 237 Plan d'expérience ram Statistique mathématique ram Experimental design Mathematical statistics Banach-Verband (DE-588)4273753-9 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Statistik (DE-588)4056995-0 s Banach-Verband (DE-588)4273753-9 s DE-604 Pitman research notes in mathematics series 237 (DE-604)BV000022845 237 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002740908&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bomze, Immanuel M. 1958- A functional analytic approach to statistical experiments Pitman research notes in mathematics series Plan d'expérience ram Statistique mathématique ram Experimental design Mathematical statistics Banach-Verband (DE-588)4273753-9 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4273753-9 (DE-588)4056995-0 |
| title | A functional analytic approach to statistical experiments |
| title_auth | A functional analytic approach to statistical experiments |
| title_exact_search | A functional analytic approach to statistical experiments |
| title_full | A functional analytic approach to statistical experiments Immanuel M. Bomze |
| title_fullStr | A functional analytic approach to statistical experiments Immanuel M. Bomze |
| title_full_unstemmed | A functional analytic approach to statistical experiments Immanuel M. Bomze |
| title_short | A functional analytic approach to statistical experiments |
| title_sort | a functional analytic approach to statistical experiments |
| topic | Plan d'expérience ram Statistique mathématique ram Experimental design Mathematical statistics Banach-Verband (DE-588)4273753-9 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Plan d'expérience Statistique mathématique Experimental design Mathematical statistics Banach-Verband Statistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002740908&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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