Group invariance applications in statistics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Hayward, Calif.
Inst. of Math. Statistics [u.a.]
1989
|
| Schriftenreihe: | Regional conference series in probability and statistics
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | V, 133 S. |
| ISBN: | 0940600153 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV004271165 | ||
| 003 | DE-604 | ||
| 005 | 20231101 | ||
| 007 | t | ||
| 008 | 910313s1989 |||| 10||| eng d | ||
| 020 | |a 0940600153 |9 0-940600-15-3 | ||
| 035 | |a (OCoLC)21433606 | ||
| 035 | |a (DE-599)BVBBV004271165 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-12 |a DE-824 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA278 | |
| 082 | 0 | |a 519.5/35 |2 20 | |
| 084 | |a SD 1987 |0 (DE-625)142721: |2 rvk | ||
| 084 | |a SK 830 |0 (DE-625)143259: |2 rvk | ||
| 100 | 1 | |a Eaton, Morris L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Group invariance applications in statistics |c Morris L. Eaton |
| 264 | 1 | |a Hayward, Calif. |b Inst. of Math. Statistics [u.a.] |c 1989 | |
| 300 | |a V, 133 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Regional conference series in probability and statistics |v 1 | |
| 650 | 7 | |a Analyse multidimensionnelle - Congrès |2 ram | |
| 650 | 4 | |a Analyse multivariée - Congrès | |
| 650 | 7 | |a Groepen (wiskunde) |2 gtt | |
| 650 | 7 | |a Invarianten |2 gtt | |
| 650 | 4 | |a Invariants - Congrès | |
| 650 | 7 | |a Invariants - Congrès |2 ram | |
| 650 | 4 | |a Invariants |v Congresses | |
| 650 | 4 | |a Multivariate analysis |v Congresses | |
| 650 | 0 | 7 | |a Invariantentheorie |0 (DE-588)4162209-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Statistik |0 (DE-588)4056995-0 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |y 1987 |z Ann Arbor Mich. |2 gnd-content | |
| 689 | 0 | 0 | |a Statistik |0 (DE-588)4056995-0 |D s |
| 689 | 0 | 1 | |a Invariantentheorie |0 (DE-588)4162209-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Regional conference series in probability and statistics |v 1 |w (DE-604)BV004264490 |9 1 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002655363&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002655363 | ||
Datensatz im Suchindex
| _version_ | 1804118464430866432 |
|---|---|
| adam_text | Contents
PREFACE v
CHAPTER 1
Integrals and the Haar Measure 1
1.1. Integrals and Measures 1
1.2. Topological Groups 3
1.3. Haar Measure 6
1.4. Multipliers and Relatively Invariant Integrals 11
CHAPTER 2
Group Actions and Relatively Invariant Integrals 19
2.1. Group Actions 19
2.2. Relatively Invariant Integrals 22
2.3. Maximal Invariants 28
2.4. Induced Group Actions: Equivariance 35
chapter 3
Invariant Statistical Models 41
3.1. Invariant Models 41
3.2. Invariant Testing Problems 45
3.3. Equivariant Estimators 47
3.4. Linear Models 50
iii
iv CONTENTS
CHAPTER 4
Models Invariant under Compact Groups 55
4.1. A Representation Theorem 55
4.2. Some Standard Examples 60
4.3. Null Robustness Applications 63
chapter 5
Decomposable Measures 68
5.1. The Compact Group Case 68
5.2. The Noncompact Case 74
5.3. The Wijsman Representation 79
chapter 6
Invariant Decision Problems 81
6.1. Decision Problems and Invariance 81
6.2. Best Invariant Rules in the Transitive Case 84
6.3. Examples of Best Equivariant Estimators 88
6.4. Invariant Testing Examples 94
chapter 7
Random Orthogonal Matrices 100
7.1. Generating a Random Orthogonal 100
7.2. The Density of a Block 101
7.3. Some Asymptotics 104
CHAPTER 8
Finite de Finetti Style Theorems 108
8.1. The de Finetti Theorem 108
8.2. Orthogonally Invariant Random Vectors 112
8.3. Orthogonally Invariant Random Matrices 116
8.4. A Linear Model Example 118
CHAPTER 9
Finite de Finetti Style Theorems for Linear Models 123
9.1. Approximating Extendable Probabilities 123
9.2. The General Univariate Linear Model 126
9.3. The Regression Model 128
BIBLIOGRAPHY 131
GENERAL REFERENCES (BOOKS) 131
CITED REFERENCES 131
|
| any_adam_object | 1 |
| author | Eaton, Morris L. |
| author_facet | Eaton, Morris L. |
| author_role | aut |
| author_sort | Eaton, Morris L. |
| author_variant | m l e ml mle |
| building | Verbundindex |
| bvnumber | BV004271165 |
| callnumber-first | Q - Science |
| callnumber-label | QA278 |
| callnumber-raw | QA278 |
| callnumber-search | QA278 |
| callnumber-sort | QA 3278 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SD 1987 SK 830 |
| ctrlnum | (OCoLC)21433606 (DE-599)BVBBV004271165 |
| dewey-full | 519.5/35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/35 |
| dewey-search | 519.5/35 |
| dewey-sort | 3519.5 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02015nam a2200505 cb4500</leader><controlfield tag="001">BV004271165</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20231101 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">910313s1989 |||| 10||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0940600153</subfield><subfield code="9">0-940600-15-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)21433606</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004271165</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA278</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.5/35</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SD 1987</subfield><subfield code="0">(DE-625)142721:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 830</subfield><subfield code="0">(DE-625)143259:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Eaton, Morris L.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Group invariance applications in statistics</subfield><subfield code="c">Morris L. Eaton</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Hayward, Calif.</subfield><subfield code="b">Inst. of Math. Statistics [u.a.]</subfield><subfield code="c">1989</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">V, 133 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Regional conference series in probability and statistics</subfield><subfield code="v">1</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Analyse multidimensionnelle - Congrès</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analyse multivariée - Congrès</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Groepen (wiskunde)</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Invarianten</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Invariants - Congrès</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Invariants - Congrès</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Invariants</subfield><subfield code="v">Congresses</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Multivariate analysis</subfield><subfield code="v">Congresses</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Invariantentheorie</subfield><subfield code="0">(DE-588)4162209-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Statistik</subfield><subfield code="0">(DE-588)4056995-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)1071861417</subfield><subfield code="a">Konferenzschrift</subfield><subfield code="y">1987</subfield><subfield code="z">Ann Arbor Mich.</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Statistik</subfield><subfield code="0">(DE-588)4056995-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Invariantentheorie</subfield><subfield code="0">(DE-588)4162209-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Regional conference series in probability and statistics</subfield><subfield code="v">1</subfield><subfield code="w">(DE-604)BV004264490</subfield><subfield code="9">1</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002655363&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002655363</subfield></datafield></record></collection> |
| genre | (DE-588)1071861417 Konferenzschrift 1987 Ann Arbor Mich. gnd-content |
| genre_facet | Konferenzschrift 1987 Ann Arbor Mich. |
| id | DE-604.BV004271165 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:10:43Z |
| institution | BVB |
| isbn | 0940600153 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002655363 |
| oclc_num | 21433606 |
| open_access_boolean | |
| owner | DE-384 DE-12 DE-824 DE-11 DE-188 |
| owner_facet | DE-384 DE-12 DE-824 DE-11 DE-188 |
| physical | V, 133 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Inst. of Math. Statistics [u.a.] |
| record_format | marc |
| series | Regional conference series in probability and statistics |
| series2 | Regional conference series in probability and statistics |
| spelling | Eaton, Morris L. Verfasser aut Group invariance applications in statistics Morris L. Eaton Hayward, Calif. Inst. of Math. Statistics [u.a.] 1989 V, 133 S. txt rdacontent n rdamedia nc rdacarrier Regional conference series in probability and statistics 1 Analyse multidimensionnelle - Congrès ram Analyse multivariée - Congrès Groepen (wiskunde) gtt Invarianten gtt Invariants - Congrès Invariants - Congrès ram Invariants Congresses Multivariate analysis Congresses Invariantentheorie (DE-588)4162209-1 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1987 Ann Arbor Mich. gnd-content Statistik (DE-588)4056995-0 s Invariantentheorie (DE-588)4162209-1 s DE-604 Regional conference series in probability and statistics 1 (DE-604)BV004264490 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002655363&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eaton, Morris L. Group invariance applications in statistics Regional conference series in probability and statistics Analyse multidimensionnelle - Congrès ram Analyse multivariée - Congrès Groepen (wiskunde) gtt Invarianten gtt Invariants - Congrès Invariants - Congrès ram Invariants Congresses Multivariate analysis Congresses Invariantentheorie (DE-588)4162209-1 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4162209-1 (DE-588)4056995-0 (DE-588)1071861417 |
| title | Group invariance applications in statistics |
| title_auth | Group invariance applications in statistics |
| title_exact_search | Group invariance applications in statistics |
| title_full | Group invariance applications in statistics Morris L. Eaton |
| title_fullStr | Group invariance applications in statistics Morris L. Eaton |
| title_full_unstemmed | Group invariance applications in statistics Morris L. Eaton |
| title_short | Group invariance applications in statistics |
| title_sort | group invariance applications in statistics |
| topic | Analyse multidimensionnelle - Congrès ram Analyse multivariée - Congrès Groepen (wiskunde) gtt Invarianten gtt Invariants - Congrès Invariants - Congrès ram Invariants Congresses Multivariate analysis Congresses Invariantentheorie (DE-588)4162209-1 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Analyse multidimensionnelle - Congrès Analyse multivariée - Congrès Groepen (wiskunde) Invarianten Invariants - Congrès Invariants Congresses Multivariate analysis Congresses Invariantentheorie Statistik Konferenzschrift 1987 Ann Arbor Mich. |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002655363&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004264490 |
| work_keys_str_mv | AT eatonmorrisl groupinvarianceapplicationsinstatistics |