Preface
1Introduction
1.1Whatissurvivalanalysisandhowisitapplied?
1.2Thehistoryofsurvivalanalysisanditsprogress
1.3Generalfeaturesofsurvivaldatastructure
1.4Censoring
1.4.1Mechanismsofrightcensoring
1.4.2Leftcensoring,intervalcensoring,andlefttruncation
1.5Timescaleandtheoriginoftime
1.5.1Observationalstudies
1.5.2Biomedicalstudies
1.5.3Healthcareutilization
1.6Basiclifetimefunctions
1.6.1Continuouslifetimefunctions
1.6.2Discretelifetimefunctions
1.6.3Basiclikelihoodfunctionsforright,left,andintervalcensoring
1.7Organizationofthebookanddatausedforillustrations
1.8Criteriaforperformingsurvivalanalysis
2Descriptiveapproachesofsurvivalanalysis
2.1TheKaplan-Meier(product-limit)andNelson-Aalenestimators
2.1.1Kaplan-Meierestimatingprocedureswithorwithoutcensoring
2.1.2FormulationoftheKaplan-MeierandNelson-Aalenestimators
2.1.3Varianceandstandarderrorofthesurvivalfunction
2.1.4Confidenceintervalsandconfidencebandsofthesurvivalfunction
2.2Lifetablemethods
2.2.1Lifetableindicators
2.2.2Multistatelifetables
2.2.3Illustration:LifetableestimatesforolderAmericans
2.3Groupcomparisonofsurvivalfunctions
2.3.1Logranktestforsurvivalcurvesoftwogroups
2.3.2TheWilcoxonranksumtestonsurvivalcurvesoftwogroups
2.3.3Comparisonofsurvivalfunctionsformorethantwogroups
2.3.4Illustration:Comparisonofsurvivalcurvesbetweenmarriedandunmarriedpersons
2.4Summar
3Somepopularsurvivaldistributionfunctions
3.1Exponentialsurvivaldistribution
3.2TheWeibulldistributionandextremevaluetheory
3.2.1BasicspecificationsoftheWeibulldistribution
3.2.2Theextremevaluedistribution
3.3Gammadistribution
3.4Lognormaldistribution
3.5Log-logisticdistribution
3.6GompertzdistributionandGompertz-typehazardmodels
3.7Hypergeometricdistribution
3.8Otherdistributions
3.9Summary
4Parametricregressionmodelsofsurvivalanalysis
4.1Generalspecificationsandinferencesofparametricregressionmodels
4.1.1Specificationsofparametricregressionmodelsonthehazardfunction
4.1.2Specificationsofacceleratedfailuretimeregressionmodels
4.1.3Inferencesofparametricregressionmodelsandlikelihoodfunctions
4.1.4ProceduresofmaximizationandhypothesistestingonMLestimates
4.2Exponentialregressionmodels
4.2.1Exponentialregressionmodelonthehazardfunction
4.2.2Exponentialacceleratedfailuretimeregressionmodel
4.2.3Illustration:ExponentialregressionmodelonmaritalstatusandsurvivalamongolderAmericans
4.3Weibullregressionmodels
4.3.1Weibullhazardregressionmodel
4.3.2Weibullacceleratedfailuretimeregressionmodel
4.3.3ConversionofWeibullproportionalhazardandAFI'parameters
4.3.4Illustration:AWeibullregressionmodelonmaritalstatusandsurvivalamongolderAmericans
4.4Log-Iogisticregressionmodels
4.4.1Specificationsofthelog-logisticAFI'regressionmodel
4.4.2RetransformationofAFTparameterstountransformedlog-logisticparameters
4.4.3Illustration:Thelog-logisticregressionmodelonmar:italstatusandsurvivalamongtheoldestoldAmericans
4.5Otherparametricregressionmodels
4.5.1Thelognormalregressionmodel
4.5.2Gammadistributedregressionmodels
4.6Parametricregressionmodelswithintervalcensoring
4.6.1Inferenceofparametricregressionmodelswithintervalcensoring
4.6.2Illustration:Aparametricsurvivalmodelwithindependentintervalcensoring
4.7Summary
5TheCoxproportionalhazardregressionmodelandadvances
5.1TheCoxsemi-parametrichazardmodel
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6CountingprocessesanddiagnosticsoftheCoxmodel
7Competingrisksmodelsandrepeatedevents
8Structuralhazardrateregressionmodels
9Specialtopics
AppendixAThedeltamethod