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Introduction. Failure Time Models. Inference in Parametric Models and Related Topics. Relative Risk (Cox)Regression Models. Counting Processes and Asymptotic Theory. Likelihood Construction and Further Results. Rank Regression and the Accelerated Failure Time Model. Competing Risks and Multi-State Models. Modeling and Analysis of Recurrent Event Data. Analysis of Correlated Failure Time Data. Additional Failure Time Data Topics. Appendix A: Some Sets of Data. Appendix B: Some Supporting Technical Material. Bibliography. Author Index. Subject Index.