Classical competing risks:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
Chapman & Hall / CRC
2001
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 186 S. graph. Darst. |
| ISBN: | 1584881755 |
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| 100 | 1 | |a Crowder, M. J. |d 1943- |e Verfasser |0 (DE-588)172028469 |4 aut | |
| 245 | 1 | 0 | |a Classical competing risks |c Martin J. Crowder |
| 264 | 1 | |a Boca Raton [u.a.] |b Chapman & Hall / CRC |c 2001 | |
| 300 | |a 186 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Análise de sobrevivência |2 larpcal | |
| 650 | 7 | |a Processos estocásticos |2 larpcal | |
| 650 | 7 | |a Risicoanalyse |2 gtt | |
| 650 | 4 | |a Risques compétitifs | |
| 650 | 4 | |a Temps entre défaillances, Analyse des | |
| 650 | 4 | |a Competing risks | |
| 650 | 4 | |a Failure time data analysis | |
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Datensatz im Suchindex
| _version_ | 1804128639917228032 |
|---|---|
| adam_text | CONTENTS
CHAPTER
1
CONTINUOUS
FAILURE
TIMES
AND
THEIR
CAUSES................................1
1.1
BASIC
PROBABILITY
FUNCTIONS.................................................................1
1.1.1
UNIVARIATE
SURVIVAL
DISTRIBUTIONS.........................................1
1.1.2
A
TIME
AND
A
CAUSE:
COMPETING
RISKS................................4
1.2
SOME
SMALL
DATA
SETS...........................................................................6
1.3
HAZARD
FUNCTIONS...............................................................................10
1.3.1
SUB-HAZARDS
AND
OVERALL
HAZARD........................................10
1.3.2
PROPORTIONAL
HAZARDS...........................................................12
1.4
REGRESSION
MODELS.............................................................................13
1.4.1
PROPORTIONAL
HAZARDS...........................................................15
1.4.2
ACCELERATED
LIFE.....................................................................16
1.4.3
PROPORTIONAL
ODDS.................................................................16
1.4.4
MEAN
RESIDUAL
LIFE.................................................................16
CHAPTER
2
PARAMETRIC
LIKELIHOOD
INFERENCE
.................................................19
2.1
THE
LIKELIHOOD
FOR
COMPETING
RISKS..............................................19
2.1.1
FORMS
OF
THE
LIKELIHOOD
FUNCTION.......................................19
2.1.2
INCOMPLETE
OBSERVATION
OF
C
OR
T......................................20
2.1.3
MAXIMUM
LIKELIHOOD
ESTIMATES..........................................21
2.2
MODEL
CHECKING..................................................................................22
2.2.1
GOODNESS
OF
FIT......................................................................22
2.2.2
RESIDUALS................................................................................23
2.3
INFERENCE..............................................................................................24
2.3.1
HYPOTHESIS
TESTS
AND
CONFIDENCE
INTERVALS.......................24
2.3.2
BAYESIAN
APPROACH...............................................................24
2.3.3
BAYESIAN
COMPUTATION......................
26
2.4
SOME
EXAMPLES...................................................................................27
2.5
MASKED
SYSTEMS.................................................................................34
CHAPTER
3
LATENT
FAILURE
TIMES:
PROBABILITY
DISTRIBUTIONS
.......................37
3.1
BASIC
PROBABILITY
FUNCTIONS...............................................................37
3.1.1
MULTIVARIATE
SURVIVAL
DISTRIBUTIONS...................................37
3.1.2
LATENT
LIFETIMES.....................................................................38
3.2
SOME
EXAMPLES...................................................................................40
3.3
MARGINAL
VS.
SUB-DISTRIBUTIONS........................................................46
3.4
INDEPENDENT
RISKS
..............................................................................48
3.4.1
THE
MAKEHAM
ASSUMPTION.................................................50
3.4.2
PROPORTIONAL
HAZARDS...........................................................51
3.4.3
SOME
EXAMPLES.....................................................................52
3.5
A
RISK-REMOVAL
MODEL.......................................................................53
CHAPTER
4
LIKELIHOOD
FUNCTIONS
FOR
UNIVARIATE
SURVIVAL
DATA.................57
4.1
DISCRETE
AND
CONTINUOUS
FAILURE
TIMES...........................................57
4.1.1
DISCRETE
SURVIVAL
DISTRIBUTIONS...........................................58
4.1.2
MIXED
SURVIVAL
DISTRIBUTIONS..............................................59
4.2
DISCRETE
FAILURE
TIMES:
ESTIMATION...................................................62
4.2.1
RANDOM
SAMPLES:
PARAMETRIC
ESTIMATION.........................62
4.2.2
RANDOM
SAMPLES:
NON-PARAMETRIC
ESTIMATION.................63
4.2.3
EXPLANATORY
VARIABLES..........................................................65
4.2.4
INTERVAL-CENSORED
DATA.........................................................66
4.3
CONTINUOUS
FAILURE
TIMES:
RANDOM
SAMPLES..................................67
4.3.1
THE
KAPLAN-MEIER
ESTIMATOR...............................................67
4.3.2
THE
INTEGRATED
AND
CUMULATIVE
HAZARD
FUNCTIONS..........68
4.4
CONTINUOUS
FAILURE
TIMES:
EXPLANATORY
VARIABLES.........................69
4.4.1
COX S
PROPORTIONAL
HAZARDS
MODEL....................................69
4.4.2
COX S
PARTIAL
LIKELIHOOD.......................................................70
4.4.3
THE
BASELINE
SURVIVOR
FUNCTION..........................................72
4.4.4
RESIDUALS................................................................................73
4.4.5
SOME
THEORY
FOR
PARTIAL
LIKELIHOOD....................................74
4.5
DISCRETE
FAILURE
TIMES
AGAIN.............................................................76
4.5.1
PROPORTIONAL
HAZARDS...........................................................76
4.5.2
PROPORTIONAL
ODDS.................................................................77
4.6
TIME-DEPENDENT
COVARIATES..............................................................78
CHAPTER
5
DISCRETE
FAILURE
TIMES
IN
COMPETING
RISKS..............................83
5.1
BASIC
PROBABILITY
FUNCTIONS...............................................................83
5.2
LATENT
FAILURE
TIMES...........................................................................85
5.3
SOME
EXAMPLES
BASED
ON
BERNOULLI
TRIALS......................................89
5.4
LIKELIHOOD
FUNCTIONS.........................................................................92
5.4.1
PARAMETRIC
LIKELIHOOD...........................................................93
5.4.2
NON-PARAMETRIC
ESTIMATION
FROM
RANDOM
SAMPLES........94
5.4.3
ASYMPTOTIC
DISTRIBUTION
OF
NON-PARAMETRIC
ESTIMATORS...............................................................................97
CHAPTER
6
HAZARD-BASED
METHODS
FOR
CONTINUOUS
FAILURE
TIMES..........101
6.1
LATENT
FAILURE
TIMES
VS.
HAZARD
MODELLING..................................101
6.2
SOME
EXAMPLES
OF
HAZARD
MODELLING...........................................102
6.3
NON-PARAMETRIC
METHODS
FOR
RANDOM
SAMPLES..........................106
6.3.1
THE
KAPLAN-MEIER
ESTIMATOR.............................................106
6.3.2
INTERVAL-CENSORED
DATA.......................................................109
6.3.3
ACTUARIAL
APPROACH.............................................................ILL
6.4
PROPORTIONAL
HAZARDS
AND
PARTIAL
LIKELIHOOD...............................113
6.4.1
THE
PROPORTIONAL
HAZARDS
MODEL.....................................113
6.4.2
THE
PARTIAL
LIKELIHOOD........................................................114
6.4.3
THE
BASELINE
SURVIVOR
FUNCTIONS.......................................116
6.4.4
DISCRETE
FAILURE
TIMES.........................................................117
CHAPTER
7
LATENT
FAILURE
TIMES:
IDENTIFIABILITY
CRISES..............................119
7.1
THE
COX-TSIATIS
IMPASSE.................................................................119
7.2
MORE
GENERAL
IDENTIFIABLILITY
RESULTS.............................................122
7.3
SPECIFIED
MARGINALS.........................................................................130
7.4
DISCRETE
FAILURE
TIMES......................................................................134
7.5
REGRESSION
CASE................................................................................137
7.6
CENSORING
OF
SURVIVAL
DATA.............................................................139
7.7
PARAMETRIC
IDENTIFIABILITY................................................................141
CHAPTER
8
MARTINGALE
COUNTING
PROCESSES
IN
SURVIVAL
DATA...................143
8.1
INTRODUCTION......................................................................................143
8.2
BACK
TO
BASICS:
PROBABILITY
SPACES
AND
CONDITIONAL
EXPECTATION........................................................................................144
8.3
FILTRATIONS
..........................................................................................147
8.4
MARTINGALES.......................................................................................148
8.4.1
DISCRETE
TIME........................................................................148
8.4.2
CONTINUOUS
TIME.................................................................150
8.5
COUNTING
PROCESSES.........................................................................151
8.6
PRODUCT
INTEGRALS..............................................................................153
8.7
SURVIVAL
DATA....................................................................................154
8.7.1
A
SINGLE
LIFETIME..................................................................154
8.7.2
INDEPENDENT
LIFETIMES........................................................155
8.7.3
COMPETING
RISKS..................................................................157
8.7.4
RIGHT-CENSORING...................................................................158
8.8
NON-PARAMETRIC
ESTIMATION............................................................159
8.8.1
SURVIVAL
TIMES.....................................................................159
8.8.2
COMPETING
RISKS
................................................................160
8.9
NON-PARAMETRIC
TESTING...................................................................161
8.10
REGRESSION
MODELS...........................................................................163
8.10.1
INTENSITY
MODELS
AND
TIME-DEPENDENT
COVARIATES.........163
8.10.2
PROPORTIONAL
HAZARDS
MODEL.............................................164
8.10.3
MARTINGALE
RESIDUALS..........................................................164
8.11
EPILOGUE............................................................................................165
APPENDIX
1
NUMERICAL
MAXIMISATION
OF
LIKELIHOOD
FUNCTIONS.............167
APPENDIX
2
BAYESIAN
COMPUTATION............................................................171
BIBLIOGRAPHY.......................................................................................................173
INDEX.....................................................................................................................183
|
| any_adam_object | 1 |
| author | Crowder, M. J. 1943- |
| author_GND | (DE-588)172028469 |
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| dewey-full | 519.221 519.2 |
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-search | 519.2 21 519.2 |
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| discipline | Mathematik Wirtschaftswissenschaften |
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| id | DE-604.BV013814199 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:52:27Z |
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| isbn | 1584881755 |
| language | English |
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| owner_facet | DE-19 DE-BY-UBM DE-384 DE-824 DE-91G DE-BY-TUM DE-706 DE-521 DE-578 |
| physical | 186 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Chapman & Hall / CRC |
| record_format | marc |
| spelling | Crowder, M. J. 1943- Verfasser (DE-588)172028469 aut Classical competing risks Martin J. Crowder Boca Raton [u.a.] Chapman & Hall / CRC 2001 186 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Análise de sobrevivência larpcal Processos estocásticos larpcal Risicoanalyse gtt Risques compétitifs Temps entre défaillances, Analyse des Competing risks Failure time data analysis Risikotheorie (DE-588)4135592-1 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Risikotheorie (DE-588)4135592-1 s Statistik (DE-588)4056995-0 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009445380&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Crowder, M. J. 1943- Classical competing risks Análise de sobrevivência larpcal Processos estocásticos larpcal Risicoanalyse gtt Risques compétitifs Temps entre défaillances, Analyse des Competing risks Failure time data analysis Risikotheorie (DE-588)4135592-1 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4135592-1 (DE-588)4056995-0 |
| title | Classical competing risks |
| title_auth | Classical competing risks |
| title_exact_search | Classical competing risks |
| title_full | Classical competing risks Martin J. Crowder |
| title_fullStr | Classical competing risks Martin J. Crowder |
| title_full_unstemmed | Classical competing risks Martin J. Crowder |
| title_short | Classical competing risks |
| title_sort | classical competing risks |
| topic | Análise de sobrevivência larpcal Processos estocásticos larpcal Risicoanalyse gtt Risques compétitifs Temps entre défaillances, Analyse des Competing risks Failure time data analysis Risikotheorie (DE-588)4135592-1 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Análise de sobrevivência Processos estocásticos Risicoanalyse Risques compétitifs Temps entre défaillances, Analyse des Competing risks Failure time data analysis Risikotheorie Statistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009445380&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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