Variable selection by regularization methods for generalized mixed models:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Göttingen
Cuvillier
2011
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 160 S. graph. Darst. |
| ISBN: | 9783869559636 |
Internformat
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| 100 | 1 | |a Groll, Andreas |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Variable selection by regularization methods for generalized mixed models |c Andreas Groll |
| 264 | 1 | |a Göttingen |b Cuvillier |c 2011 | |
| 300 | |a X, 160 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804148778487250944 |
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| adam_text | IMAGE 1
CONTENTS
1. INTRODUCTION 1
2. BOOSTING APPROACHES T O GENERALIZED LINEAR MIXED MODELS 9
2.1. INTRODUCTION 10
2.2. GENERALIZED LINEAR MIXED MODELS - GLMMS 10
2.2.1. T H E PENALIZED LIKELIHOOD APPROACH 11
2.2.2. ESTIMATION BASED ON POSTERIOR MODES 12
2.3. BOOSTED G L M M S - BGLMM 13
2.3.1. T H E BOOSTING ALGORITHM 14
2.3.2. COMPUTATIONAL DETAILS OF B G L M M 15
2.4. SIMULATION STUDY 22
2.5. APPLICATION T O CD4 D A T A 35
2.6. S T A N D A R D ERRORS 39
2.6.1. T W O B O O T S T R A P APPROACHES FOR BOOSTED GENERALIZED LINEAR
MIXED MODELS 39
2.6.2. S T A N D A R D ERRORS BASED ON THE BOOSTING H A T MATRIX 39
2.7. CONCLUDING REMARKS 4 1
3. BOOSTING APPROACHES T O ORDINAL RANDOM EFFECTS MODELS 4 3
3.1. INTRODUCTION . . 44
3.2. ORDINAL R A N D O M EFFECTS MODELS 44
3.2.1. MODELS FOR ORDINAL RESPONSE VARIABLES 45
3.2.2. INCORPORATION OF R A N D O M EFFECTS 45
3.2.3. ESTIMATION OF ORDINAL R A N D O M EFFECTS MODELS 4 7
3.3. BOOSTED ORDINAL R A N D O M EFFECTS MODELS 48
3.3.1. T H E BASIC ALGORITHM 48
3.3.2. COMPUTATIONAL DETAILS OF O R D I N A L B O O S T 50
3.4. SIMULATION STUDY 56
3.5. APPLICATIONS T O REAL D A T A 64
3.5.1. CLINICAL P A I N S T U D Y ON KNEE D A T A 65
3.5.2. RECOVERY D A T A 67
3.5.3. FOREST HEALTH D A T A 69
3.6. CONCLUDING REMARKS 72
HTTP://D-NB.INFO/1018403981
IMAGE 2
X C O N T E N T S
4. BOOSTING APPROACHES T O GENERALIZED ADDITIVE MIXED MODELS 7 3
4.1. INTRODUCTION 74
4.2. GENERALIZED ADDITIVE MIXED MODELS - G A M M S 74
4.3. BOOSTED GAMMS - BGAMM 77
4.3.1. T H E BOOSTING ALGORITHM 77
4.3.2. COMPUTATIONAL DETAILS OF BGAMM 79
4.4. SIMULATION STUDY 86
4.5. APPLICATIONS T O REAL D A T A 94
4.5.1. AIDS STUDY 94
4.5.2. T H E G E R M A N BUNDESLIGA D A T A 98
4.6. CONCLUDING REMARKS 102
5. /.[-PENALIZED GENERALIZED LINEAR MIXED MODELS 105
5.1. INTRODUCTION 106
5.2. GENERALIZED LINEAR MIXED MODELS - G L M M S 108
5.3. REGULARIZATION IN GLMMS 109
5.3.1. GRADIENT ASCENT ALGORITHM - GLMMLASSO 110
5.3.2. COMPUTATIONAL DETAILS OF GLMMLASSO 112
5.3.3. INCORPORATION OF CATEGORICAL PREDICTORS 114
5.3.4. SIMULATION S T U D Y 115
5.4. APPLICATIONS T O REAL D A T A 120
5.4.1. T H E G E R M A N BUNDESLIGA D A T A 121
5.4.2. CD4 AIDS S T U D Y 123
5.4.3. FOREST HEALTH D A T A 125
5.4.4. J I M M A INFANT SURVIVAL S T U D Y 129
5.5. CONCLUDING REMARKS 134
6. CONCLUSION AND PERSPECTIVES 135
A. APPENDIX 141
A . L . P-SPLINES 142
A. 1.1. B-SPLINES 142
A.1.2. P-SPLINES 144
A.1.3. REPARAMETRIZATION OF P-SPLINES 145
A. 1.4. REPARAMETRIZATION IN SEMIPARAMETRIC MODELS 146
A.2. LAPLACE APPROXIMATION 147
A.2.1. UNIVARIATE CASE 147
A.2.2. MULTIVARIATE CASE 148
A.2.3. APPROXIMATION OF T H E MARGINAL LOG-LIKELIHOOD FOR GENERALIZED
MIXED MODELS 149
A.3. PARTITION OF FISHER MATRIX 150
REFERENCES 151
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| isbn | 9783869559636 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024705043 |
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| physical | X, 160 S. graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
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| publisher | Cuvillier |
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| spelling | Groll, Andreas Verfasser aut Variable selection by regularization methods for generalized mixed models Andreas Groll Göttingen Cuvillier 2011 X, 160 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zugl.: München, Univ. Diss., 2011 Verallgemeinertes Regressionsmodell (DE-588)4271471-0 gnd rswk-swf Regularisierungsverfahren (DE-588)4846428-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Verallgemeinertes Regressionsmodell (DE-588)4271471-0 s Regularisierungsverfahren (DE-588)4846428-4 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024705043&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Groll, Andreas Variable selection by regularization methods for generalized mixed models Verallgemeinertes Regressionsmodell (DE-588)4271471-0 gnd Regularisierungsverfahren (DE-588)4846428-4 gnd |
| subject_GND | (DE-588)4271471-0 (DE-588)4846428-4 (DE-588)4113937-9 |
| title | Variable selection by regularization methods for generalized mixed models |
| title_auth | Variable selection by regularization methods for generalized mixed models |
| title_exact_search | Variable selection by regularization methods for generalized mixed models |
| title_full | Variable selection by regularization methods for generalized mixed models Andreas Groll |
| title_fullStr | Variable selection by regularization methods for generalized mixed models Andreas Groll |
| title_full_unstemmed | Variable selection by regularization methods for generalized mixed models Andreas Groll |
| title_short | Variable selection by regularization methods for generalized mixed models |
| title_sort | variable selection by regularization methods for generalized mixed models |
| topic | Verallgemeinertes Regressionsmodell (DE-588)4271471-0 gnd Regularisierungsverfahren (DE-588)4846428-4 gnd |
| topic_facet | Verallgemeinertes Regressionsmodell Regularisierungsverfahren Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024705043&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT grollandreas variableselectionbyregularizationmethodsforgeneralizedmixedmodels |