Parametric statistical models and likelihood:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1988
|
| Series: | Lecture notes in statistics
50 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 276 S. |
| ISBN: | 0387969284 3540969284 |
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Record in the Search Index
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| adam_text |
PARAMETRIC STATISTICAL MODELS AND LIKELIHOOD
O.E. BARNDORFF-NIELSEN
SL_INTRODUCTION
0.1. OUTLINE OF CONTENTS 1
0.2. A FEW PRELIMINARIES 2
IS_LIKELIHOOD AND AUXILIARY STATISTICS
1.1. LIKELIHOOD 4
1.2. MOMENTS AND CUMULANTS OF LOG LIKELIHOOD DERIVATIVES 10
1.3. PARAMETRIZATION INVARIANCE 13
1.4. MARGINAL AND CONDITIONAL LIKELIHOOD 15
1.5. COMBINANTS, AUXILIARIES, AND THE P*-MODEL 19
1.6. ORTHOGONAL PARAMETERS 27
1.7. PSEUDO LIKELIHOOD, PROFILE LIKELIHOOD AND MODIFIED 30
PROFILE LIKELIHOOD
1.8. ANCILLARITY AND CONDITIONALITY 33
1.9. PARTIAL SUFFICIENCY AND PARTIAL ANCILLARITY 41
1.10. LIKELIHOOD EXPANSIONS 43
1.11. ADDITIONAL BIBLIOGRAPHICAL NOTES 47
2
.
_TRANSFORMATION MODELS AND EXPONENTIAL MODELS
2.1. GROUP ACTIONS AND INVARIANT MEASURES 49
2.2. TRANSFORMATION MODELS 62
2.3. TRANSFORMATION SUBMODELS 83
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/881398241
VI
2.4. EXPONENTIAL MODELS 87
2.5. EXPONENTIAL TRANSFORMATION MODELS 98
2.6. ADDITIONAL BIBLIOGRAPHICAL NOTES 102
-REPARAMETRIZATIONS AND DIFFERENTIAL GEOMETRY
3.1. MULTIARRAYS 104
3.2. TENSORS AND AFFINE CONNECTIONS 107
3.3. STRINGS
3.4. COVARIANT DIFFERENTIATION AND STRINGS 123
3.5. INTERTWINING 126
3.6. SUBMANIFOLDS 137
3.7. GEOMETRIC MEASURES 139
3.8. MANIFOLDS WITH A LIE GROUP ACTION 140
3.9. FIBRE BUNDLES, CONNECTIONS AND (PARALLEL) TRANSPORT 146
3.10. ADDITIONAL BIBLIOGRAPHICAL NOTES. 151
_INFERENTIAL AND GEOMETRIC STRUCTURES
4.1. ANCILLARY STATISTICS AND CONDITIONALITY STRUCTURES 152
4.2. CONDITIONALITY STRUCTURES FOR TRANSFORMATION MODELS 153
4.3. CONSTRUCTION OF APPROXIMATELY ANCILLARY STATISTICS 153
4.4. JACOBIANS OF CONDITIONALITY STRUCTURES 156
4.5. GEOMETRY OF PARAMETRIC MODELS 158
4.6. ADDITIONAL BIBLIOGRAPHICAL NOTES 172
5. CUMULANTS
5.1. ELEMENTAL PROPERTIES OF CUMULANTS 173
5.2. RELATIONS BETWEEN MOMENTS AND CUMULANTS 177
5.3. AN ALTERNATIVE DEFINITION OF GENERALIZED CUMULANTS 186
5.4. ADDITIONAL BIBLIOGRAPHICAL NOTES 187
VII
_LAPLACE'S METHOD. EDGEWORTH AND SADDLE-POINT APPROXIMATIONS
6.1. LAPLACE'S METHOD 188
6.2. HERMITE POLYNOMIALS 191
6.3. EDGEWORTH APPROXIMATIONS 199
6.4. SADDLE-POINT APPROXIMATIONS 207
6.5. ADDITIONAL BIBLIOGRAPHICAL NOTES 211
7
. DISTRIBUTIONS OF LIKELIHOOD QUANTITIES
7.1. THE DISTRIBUTION OF THE MAXIMUM LIKELIHOOD
ESTIMATOR 213
7.2. EXPANSION OF P* 224
7.3. THE DISTRIBUTION OF THE SCORE VECTOR 229
7.4. THE DISTRIBUTION OF LIKELIHOOD RATIO STATISTICS 230
7.5. MODIFIED PROFILE LIKELIHOOD 235
7.6. ADDITIONAL BIBLIOGRAPHICAL NOTES 249
APPENDICES
A.1. TAYLOR'S FORMULA 250
A.2. FOURIER TRANSFORMATION 250
A.3. SOME FORMULAS FOR MATRICES AND DETERMINANTS 251
A.4. PARTIALLY ORDERED SETS, PARTITIONS AND MOBIUS
INVERSION 253
A.5. THE LEGENDRE TRANSFORM 257
A.6. A DIFFERENTIAL GEOMETRIC INVERSION RESULT 260
REFERENCES 262
SUBJECT INDEX 268 |
| any_adam_object | 1 |
| author | Barndorff-Nielsen, Ole E. 1935- |
| author_GND | (DE-588)123060915 |
| author_facet | Barndorff-Nielsen, Ole E. 1935- |
| author_role | aut |
| author_sort | Barndorff-Nielsen, Ole E. 1935- |
| author_variant | o e b n oeb oebn |
| building | Verbundindex |
| bvnumber | BV004429611 |
| callnumber-first | Q - Science |
| callnumber-label | QA276 |
| callnumber-raw | QA276.B28474 1988 |
| callnumber-search | QA276.B28474 1988 |
| callnumber-sort | QA 3276 B28474 41988 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | QH 230 SI 856 SK 800 SK 840 SK 830 |
| classification_tum | MAT 625f |
| ctrlnum | (OCoLC)19241036 (DE-599)BVBBV004429611 |
| dewey-full | 519.5 519.520 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 519.5 20 |
| dewey-search | 519.5 519.5 20 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV004429611 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-06T09:03:19Z |
| institution | BVB |
| isbn | 0387969284 3540969284 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002747861 |
| oclc_num | 19241036 |
| open_access_boolean | |
| owner | DE-Aug4 DE-703 DE-739 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-12 DE-384 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-521 DE-11 DE-188 DE-83 |
| owner_facet | DE-Aug4 DE-703 DE-739 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-12 DE-384 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-521 DE-11 DE-188 DE-83 |
| physical | VII, 276 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in statistics |
| series2 | Lecture notes in statistics |
| spelling | Barndorff-Nielsen, Ole E. 1935- Verfasser (DE-588)123060915 aut Parametric statistical models and likelihood Ole E. Barndorff-Nielsen New York [u.a.] Springer 1988 VII, 276 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in statistics 50 Probabilités Statistique mathématique Statistische modellen gtt Waarschijnlijkheidstheorie gtt Mathematical statistics Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Maximum-Likelihood-Schätzung (DE-588)4194624-8 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Parametrisches Verfahren (DE-588)4205938-0 gnd rswk-swf Statistisches Modell (DE-588)4121722-6 gnd rswk-swf Statistische Schlussweise (DE-588)4182963-3 gnd rswk-swf Parametrisierung (DE-588)4402701-1 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Statistisches Modell (DE-588)4121722-6 s DE-604 Statistische Schlussweise (DE-588)4182963-3 s Parametrisches Verfahren (DE-588)4205938-0 s Maximum-Likelihood-Schätzung (DE-588)4194624-8 s Stochastisches Modell (DE-588)4057633-4 s 1\p DE-604 Parametrisierung (DE-588)4402701-1 s 2\p DE-604 Statistik (DE-588)4056995-0 s 3\p DE-604 Mathematisches Modell (DE-588)4114528-8 s 4\p DE-604 Lecture notes in statistics 50 (DE-604)BV002447846 50 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002747861&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Barndorff-Nielsen, Ole E. 1935- Parametric statistical models and likelihood Lecture notes in statistics Probabilités Statistique mathématique Statistische modellen gtt Waarschijnlijkheidstheorie gtt Mathematical statistics Stochastisches Modell (DE-588)4057633-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd Maximum-Likelihood-Schätzung (DE-588)4194624-8 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Parametrisches Verfahren (DE-588)4205938-0 gnd Statistisches Modell (DE-588)4121722-6 gnd Statistische Schlussweise (DE-588)4182963-3 gnd Parametrisierung (DE-588)4402701-1 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4057633-4 (DE-588)4114528-8 (DE-588)4194624-8 (DE-588)4064324-4 (DE-588)4205938-0 (DE-588)4121722-6 (DE-588)4182963-3 (DE-588)4402701-1 (DE-588)4056995-0 |
| title | Parametric statistical models and likelihood |
| title_auth | Parametric statistical models and likelihood |
| title_exact_search | Parametric statistical models and likelihood |
| title_full | Parametric statistical models and likelihood Ole E. Barndorff-Nielsen |
| title_fullStr | Parametric statistical models and likelihood Ole E. Barndorff-Nielsen |
| title_full_unstemmed | Parametric statistical models and likelihood Ole E. Barndorff-Nielsen |
| title_short | Parametric statistical models and likelihood |
| title_sort | parametric statistical models and likelihood |
| topic | Probabilités Statistique mathématique Statistische modellen gtt Waarschijnlijkheidstheorie gtt Mathematical statistics Stochastisches Modell (DE-588)4057633-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd Maximum-Likelihood-Schätzung (DE-588)4194624-8 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Parametrisches Verfahren (DE-588)4205938-0 gnd Statistisches Modell (DE-588)4121722-6 gnd Statistische Schlussweise (DE-588)4182963-3 gnd Parametrisierung (DE-588)4402701-1 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Probabilités Statistique mathématique Statistische modellen Waarschijnlijkheidstheorie Mathematical statistics Stochastisches Modell Mathematisches Modell Maximum-Likelihood-Schätzung Wahrscheinlichkeitsrechnung Parametrisches Verfahren Statistisches Modell Statistische Schlussweise Parametrisierung Statistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002747861&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002447846 |
| work_keys_str_mv | AT barndorffnielsenolee parametricstatisticalmodelsandlikelihood |