Bayesian survival analysis:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York [u.a.]
Springer
2001
|
| Schriftenreihe: | Springer series in statistics
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009525929&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XIV, 479 S. graph. Darst. |
| ISBN: | 0387952772 |
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| 100 | 1 | |a Ibrahim, Joseph G. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Bayesian survival analysis |c Joseph G. Ibrahim ; Ming-Hui Chen ; Debajyoti Sinha |
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| 650 | 4 | |a Bayesian statistical decision theory | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MED 230f 2001 A 19008 |
|---|---|
| DE-BY-TUM_katkey | 1255673 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020277865 |
| _version_ | 1821939351071752192 |
| adam_text | JOSEPH G. IBRAHIM
MING-HUI CHEN
DEBAJYOTI SINHA
BAYESIAN SURVIVAL
ANALYSIS
WITH 51 ILLUSTRATIONS
SPRINGER
CONTENTS
PREFACE VII
1 INTRODUCTION 1
1.1
AIMS 1
1.2 OUTLINE 2
1.3 MOTIVATING EXAMPLES 3
1.4 SURVIVAL ANALYSIS 13
1.4.1 PROPORTIONAL HAZARDS MODELS 15
1.4.2 CENSORING 15
1.4.3 PARTIA
L LIKELIHOOD 16
1.5 THE BAYESIAN PARADIGM 17
1.6 SAMPLING FROM THE POSTERIOR DISTRIBUTION 18
1.7 INFORMATIVE PRIOR ELICITATION 22
1.8 WHY BAYES? 26
EXERCISES 27
2 PARAMETRI
C MODEL
S 30
2.1 EXPONENTIAL MODEL 30
2.2 WEIBULL MODEL 35
2.3 EXTREME VALUE MODEL 37
2.4 LOG-NORMAL MODEL 39
2.5 GAMMA MODEL 40
EXERCISES 42
CONTENTS XI
SEMIPARAMETRI
C MODEL
S 4
7
3.1 PIECEWISE CONSTANT HAZARD MODEL 47
3.2 MODELS USING A GAMMA PROCESS 50
3.2.1, GAMMA PROCESS ON CUMULATIVE HAZARD 50
3.2.2 GAMMA PROCESS WITH GROUPED-DATA LIKELIHOOD . 51
3.2.3 RELATIONSHIP TO PARTIA
L LIKELIHOOD 53
3.2.4 GAMMA PROCESS ON BASELINE HAZARD 55
3.3 PRIOR ELICITATION . 56
3.3.1 APPROXIMATION OF THE PRIOR 57
3.3.2 CHOICES OF HYPERPARAMETERS 59
3.3.3 SAMPLING FROM THE JOINT POSTERIOR DISTRIBUTION OF
(J3,S, AO)
60
3.4 A GENERALIZATION OF THE COX MODEL 63
3.5 BETA PROCESS MODELS 66
3.5.1 BETA PROCESS PRIORS 66
3.5.2 INTERVAL CENSORED DAT
A 71
3.6 CORRELATED GAMMA PROCESSES 72
3.7 DIRICHLET PROCESS MODELS 78
3.7.1 DIRICHLET PROCESS PRIOR . 78
3.7.2 DIRICHLET PROCESS IN SURVIVAL ANALYSIS 81
3.7.3 DIRICHLET PROCESS WITH DOUBLY CENSORED DATA . . 84
3.7.4 MIXTURES OF DIRICHLET PROCESS MODELS 87
3.7.5 CONJUGATE MDP MODELS 89
3.7.6 NONCONJUGATE MDP MODELS 90
3.7.7 MDP PRIORS WITH CENSORED DATA 91
3.7.8 INCLUSION OF COVARIATES 94
EXERCISES 94
FRAILTY MODEL
S 100
4.1
PROPORTIONA
L HAZARD
S MODEL WIT
H FRAILT
Y 101
4.1.1 WEIBULL MODE
L WIT
H GAMM
A FRAILTIE
S 102
4.1.2 GAMM
A PROCES
S PRIO
R FOR
H
O
(T)
104
4.1.3 PIECEWISE EXPONENTIA
L MODEL FOR
HO(T)
106
4.1.4 POSITIV
E STABL
E FRAILTIE
S 112
4.1.5 A BAYESIAN MODEL FOR INSTITUTIONA
L EFFECTS ...
. 118
4.1.6 POSTERIO
R LIKELIHOOD METHOD
S 126
4.1.7 METHOD
S BASE
D ON PARTIA
L LIKELIHOOD 131
4.2 MULTIPL
E EVEN
T AN
D PANE
L COUN
T DAT
A 134
4.3 MULTILEVEL MULTIVARIAT
E SURVIVAL DAT
A 136
4.4 BIVARIAT
E MEASURE
S OF DEPENDENC
E 147
EXERCISES 148
CURE RAT
E MODEL
S 155
5.1 INTRODUCTION 155
5.2 PARAMETRIC CURE RATE MODEL 156
XII CONTENTS
5.2.1 MODELS 156
5.2.2 PRIOR AND POSTERIOR DISTRIBUTIONS 160
5.2.3 POSTERIOR COMPUTATION 163
5.3 SEMIPARAMETRIC CURE RAT
E MODEL 171
5.4 AN ALTERNATIVE SEMIPARAMETRIC CURE RAT
E MODEL ...
. 179
5.4.1 PRIOR DISTRIBUTIONS 180
5.5 MULTIVARIATE CURE RAT
E MODELS 185
5.5.1 MODELS 185
5.5.2 TH
E LIKELIHOOD FUNCTION 188
5.5.3 TH
E PRIOR AND POSTERIOR DISTRIBUTIONS 190
5.5.4 COMPUTATIONAL IMPLEMENTATION 191
APPENDIX 199
EXERCISES 205
6 MODE
L COMPARISO
N 20
8
6.1 POSTERIOR MODEL PROBABILITIES 209
6.1.1 VARIABLE SELECTION IN THE COX MODEL 210
6.1.2 PRIOR DISTRIBUTION ON TH
E MODEL SPACE 211
6.1.3 COMPUTING PRIOR AND POSTERIOR MODEL PROBABILITIES 212
6.2 CRITERION-BASED METHODS 219
6.2.1 TH
E
L
MEASURE 220
6.2.2 TH
E CALIBRATION DISTRIBUTION 223
6.3 CONDITIONAL PREDICTIVE ORDINATE 227
6.4 BAYESIAN MODEL AVERAGING 234
6.4.1 BMA FOR VARIABLE SELECTION IN TH
E COX MODEL . . 236
6.4.2 IDENTIFYING TH
E MODELS IN
A
237
6.4.3 ASSESSMENT OF PREDICTIVE PERFORMANCE 239
6.5 BAYESIAN INFORMATION CRITERION . 246
6.5.1 MODEL SELECTION USING BIC 249
6.5.2 EXPONENTIAL SURVIVAL MODEL 249
6.5.3 THE COX PROPORTIONA
L HAZARDS MODEL 250
EXERCISES 254
7 JOIN
T MODEL
S FOR LONGITUDINA
L AN
D SURVIVA
L DAT
A 26
2
7.1 INTRODUCTION 262
7.1.1 JOIN
T MODELING IN AIDS STUDIES 263
7.1.2 JOINT MODELING IN CANCER VACCINE TRIALS 263
7.1.3 JOINT MODELING IN HEALTH-RELATED QUALITY OF LIFE
STUDIES 264
7.2 METHODS FOR JOIN
T MODELING OF LONGITUDINAL AN
D SURVIVAL
DAT
A 265
7.2.1 PARTIA
L LIKELIHOOD MODELS 265
7.2.2 JOIN
T LIKELIHOOD MODELS 267
7.2.3 MIXTURE MODELS 273
CONTENTS XIII
7.3 BAYESIAN METHODS FOR JOINT MODELING OF LONGITUDINAL AND
SURVIVAL DATA 275
EXERCISES 287
8 MISSIN
G COVARIATE DAT
A 290
8.1 INTRODUCTION 290
8.2 THE CURE RATE MODEL WITH MISSING COVARIATE DATA . . . 292
8.3 A GENERAL CLASS OF COVARIATE MODELS 293
8.4 THE PRIOR AND POSTERIOR DISTRIBUTIONS 297
8.5 MODEL CHECKING 301
APPENDIX 311
EXERCISES 317
9 DESIG
N AND MONITORIN
G OF RANDOMIZE
D CLINICAL TRIALS 32
0
9.1 GROUP SEQUENTIAL LOG-RANK TESTS FOR SURVIVAL DAT
A . . . 320
9.2 BAYESIAN APPROACHES 322
9.2.1 RANGE OF EQUIVALENCE 326
9.2.2 PRIOR ELICITATION 328
9.2.3 PREDICTIONS 332
9.2.4 CHECKING PRIOR-DATA COMPATIBILITY 334
9.3 BAYESIAN SAMPLE SIZE DETERMINATION 336
9.4 ALTERNATIVE APPROACHES T
O SAMPLE SIZE DETERMINATION . 340
EXERCISES 349
10 OTHER TOPICS 352
10.1 PROPORTIONAL HAZARDS MODELS BUILT FROM MONOTONE FUNC
TIONS 352
10.1.1 LIKELIHOOD SPECIFICATION 354
10.1.2 PRIOR SPECIFICATION 356
10.1.3 TIME-DEPENDENT COVARIATES 357
10.2 ACCELERATED FAILURE TIME MODELS 359
10.2.1 MDP PRIOR FOR
9
T
360
10.2.2 POLYA TREE PRIOR FOR 0,- 364
10.3 BAYESIAN SURVIVAL ANALYSIS USING MARS 373
10.3.1 THE BAYESIAN MODEL 374
10.3.2 SURVIVAL ANALYSIS WITH FRAILTIES 379
10.4 CHANGE POINT MODELS 381
10.4.1 BASIC ASSUMPTIONS AND MODEL 382
10.4.2 EXTRA POISSON VARIATION 385
10.4.3 LAG FUNCTIONS 386
10.4.4 RECURRENT TUMORS 388
10.4.5 BAYESIAN INFERENCE 389
10.5 THE POLY-WEIBULL MODEL 395
10.5.1 LIKELIHOOD AND PRIORS 396
10.5.2 SAMPLING THE POSTERIOR DISTRIBUTION 397
XIV CONTENTS
10.6 FLEXIBLE HIERARCHICAL SURVIVAL MODELS 398
10.6.1 THRE
E STAGES OF TH
E HIERARCHICAL MODEL 400
10.6.2 IMPLEMENTATIO
N 403
10.7 BAYESIAN MODEL DIAGNOSTICS 413
10.7.1 BAYESIAN LATEN
T RESIDUAL
S 413
10.7.2 PREQUENTIA
L METHOD
S 417
10.8 FUTUR
E RESEARCH TOPICS 429
APPENDI
X 431
EXERCISES 433
LIST OF DISTRIBUTION
S 436
REFERENCES 438
AUTHOR INDE
X 467
SUBJECT INDE
X 475
|
| any_adam_object | 1 |
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| author_GND | (DE-588)12198978X |
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| discipline | Mathematik Wirtschaftswissenschaften Medizin |
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| id | DE-604.BV013921698 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T10:55:55Z |
| institution | BVB |
| isbn | 0387952772 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009525929 |
| oclc_num | 248544407 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-824 DE-739 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-19 DE-BY-UBM DE-824 DE-739 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-11 |
| physical | XIV, 479 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer series in statistics |
| spellingShingle | Ibrahim, Joseph G. Chen, Ming-Hui 1961- Sinha, Debajyoti Bayesian survival analysis Zuverlässigkeitstheorie - Bayes-Verfahren Überlebenszeit - Bayes-Verfahren Bayesian statistical decision theory Failure time data analysis Bayes-Verfahren (DE-588)4204326-8 gnd Zuverlässigkeitstheorie (DE-588)4195525-0 gnd Überlebenszeit (DE-588)4186609-5 gnd |
| subject_GND | (DE-588)4204326-8 (DE-588)4195525-0 (DE-588)4186609-5 |
| title | Bayesian survival analysis |
| title_auth | Bayesian survival analysis |
| title_exact_search | Bayesian survival analysis |
| title_full | Bayesian survival analysis Joseph G. Ibrahim ; Ming-Hui Chen ; Debajyoti Sinha |
| title_fullStr | Bayesian survival analysis Joseph G. Ibrahim ; Ming-Hui Chen ; Debajyoti Sinha |
| title_full_unstemmed | Bayesian survival analysis Joseph G. Ibrahim ; Ming-Hui Chen ; Debajyoti Sinha |
| title_short | Bayesian survival analysis |
| title_sort | bayesian survival analysis |
| topic | Zuverlässigkeitstheorie - Bayes-Verfahren Überlebenszeit - Bayes-Verfahren Bayesian statistical decision theory Failure time data analysis Bayes-Verfahren (DE-588)4204326-8 gnd Zuverlässigkeitstheorie (DE-588)4195525-0 gnd Überlebenszeit (DE-588)4186609-5 gnd |
| topic_facet | Zuverlässigkeitstheorie - Bayes-Verfahren Überlebenszeit - Bayes-Verfahren Bayesian statistical decision theory Failure time data analysis Bayes-Verfahren Zuverlässigkeitstheorie Überlebenszeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009525929&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ibrahimjosephg bayesiansurvivalanalysis AT chenminghui bayesiansurvivalanalysis AT sinhadebajyoti bayesiansurvivalanalysis |
Inhaltsverzeichnis
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MED 230f 2001 A 19008
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |