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Preface | |
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Introduction | |
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Failure Time Data | |
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Failure Time Distributions | |
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Time Origins, Censoring, and Truncation | |
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Estimation of the Survivor Function | |
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Comparison of Survival Curves | |
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Generalizations to Accommodate Delayed Entry | |
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Counting Process Notation | |
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Bibliographic Notes | |
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Exercises and Complements | |
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Failure Time Models | |
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Introduction | |
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Some Continuous Parametric Failure Time Models | |
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Regression Models | |
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Discrete Failure Time Models | |
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Bibliographic Notes | |
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Exercises and Complements | |
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Inference in Parametric Models and Related Topics | |
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Introduction | |
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Censoring Mechanisms | |
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Censored Samples from an Exponential Distribution | |
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Large-Sample Likelihood Theory | |
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Exponential Regression | |
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Estimation in Log-Linear Regression Models | |
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Illustrations in More Complex Data Sets | |
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Discrimination Among Parametric Models | |
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Inference with Interval Censoring | |
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Discussion | |
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Bibliographic Notes | |
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Exercises and Complements | |
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Relative Risk (Cox) Regression Models | |
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Introduction | |
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Estimation of [beta] | |
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Estimation of the Baseline Hazard or Survivor Function | |
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Inclusion of Strata | |
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Illustrations | |
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Counting Process Formulas | |
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Related Topics on the Cox Model | |
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Sampling from Discrete Models | |
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Bibliographic Notes | |
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Exercises and Complements | |
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Counting Processes and Asymptotic Theory | |
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Introduction | |
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Counting Processes and Intensity Functions | |
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Martingales | |
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Vector-Valued Martingales | |
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Martingale Central Limit Theorem | |
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Asymptotics Associated with Chapter 1 | |
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Asymptotic Results for the Cox Model | |
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Asymptotic Results for Parametric Models | |
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Efficiency of the Cox Model Estimator | |
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Partial Likelihood Filtration | |
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Bibliographic Notes | |
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Exercises and Complements | |
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Likelihood Construction and Further Results | |
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Introduction | |
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Likelihood Construction in Parametric Models | |
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Time-Dependent Covariates and Further Remarks on Likelihood Construction | |
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Time Dependence in the Relative Risk Model | |
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Nonnested Conditioning Events | |
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Residuals and Model Checking for the Cox Model | |
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Bibliographic Notes | |
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Exercises and Complements | |
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Rank Regression and the Accelerated Failure Time Model | |
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Introduction | |
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Linear Rank Tests | |
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Development and Properties of Linear Rank Tests | |
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Estimation in the Accelerated Failure Time Model | |
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Some Related Regression Models | |
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Bibliographic Notes | |
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Exercises and Complements | |
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Competing Risks and Multistate Models | |
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Introduction | |
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Competing Risks | |
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Life-History Processes | |
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Bibliographic Notes | |
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Exercises and Complements | |
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Modeling and Analysis of Recurrent Event Data | |
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Introduction | |
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Intensity Processes for Recurrent Events | |
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Overall Intensity Process Modeling and Estimation | |
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Mean Process Modeling and Estimation | |
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Conditioning on Aspects of the Counting Process History | |
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Bibliographic Notes | |
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Exercises and Complements | |
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Analysis of Correlated Failure Time Data | |
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Introduction | |
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Regression Models for Correlated Failure Time Data | |
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Representation and Estimation of the Bivariate Survivor Function | |
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Pairwise Dependency Estimation | |
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Illustration: Australian Twin Data | |
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Approaches to Nonparametric Estimation of the Bivariate Survivor Function | |
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Survivor Function Estimation in Higher Dimensions | |
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Bibliographic Notes | |
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Exercises and Complements | |
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Additional Failure Time Data Topics | |
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Introduction | |
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Stratified Bivariate Failure Time Analysis | |
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Fixed Study Period Survival Studies | |
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Cohort Sampling and Case-Control Studies | |
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Missing Covariate Data | |
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Mismeasured Covariate Data | |
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Sequential Testing with Failure Time Endpoints | |
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Bayesian Analysis of the Proportional Hazards Model | |
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Some Analyses of a Particular Data Set | |
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Bibliographic Notes | |
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Exercises and Complements | |
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Glossary of Notation | |
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Some Sets of Data | |
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Supporting Technical Material | |
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Bibliography | |
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Author Index | |
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Subject Index | |