Counting processes and survival analysis / / Thomas R. Fleming, David P. Harrington

• Record Nr.: UNINA9911020236903321
• Autore: Fleming Thomas R
• Pubbl/distr/stampa: Hoboken, N.J., : Wiley-Interscience, 2005
• ISBN: 9786613332363; 9781283332361; 1283332361; 9781118150672; 1118150678; 9781118150665; 111815066X
• Descrizione fisica: 1 online resource (454 p.)
• Collana: Wiley series in probability and statistics
• Altri autori (Persone): HarringtonDavid P
• Disciplina: 519.2/3; 519.23; 519.236
• Soggetti: Point processes; Failure time data analysis; Martingales (Mathematics)
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and indexes.
• Nota di contenuto: 2.4 Stochastic Integrals with Respect to Local Martingales2.5 Continuous Compensators; 2.6 Compensators with Discontinuities; 2.7 Summary; 2.8 Bibliographic Notes; 3. Finite Sample Moments and Large Sample Consistency of Tests and Estimators; 3.1 Introduction; 3.2 Nonparametric Estimation of the Survival Distribution; 3.3 Some Finite Sample Properties of Linear Rank Statistics; 3.4 Consistency of the Kaplan-Meier Estimator; 3.5 Bibliographic Notes; 4. Censored Data Regression Models and Their Application; 4.1 Introduction; 4.2 The Proportional Hazards and Multiplicative Intensity Models; 4.3 Partial Likelihood Inference4.4 Applications of Partial Likelihood Methods; 4.5 Martingale Residuals; 4.6 Applications of Residual Methods; 4.7 Bibliographic Notes; 5. Martingale Central Limit Theorem; ; 5.1 Preliminaries and Motivation; 5.2 Convergence of Martingale Difference Arrays; 5.3 Weak Convergence of the Process, U(n); 5.4 Bibliographic Notes; 6. Large Sample Results of the Kaplan-Meier Estimator; 6.1 Introduction; 6.2 A Large Sample Result for Kaplan-Meier and Weighted Logrank Statistics; 6.3 Confidence Bands for the Survival Distribution; 6.4 Bibliographic Notes; 7. Weighted Logrank Statistics7.1 Introduction; 7.2 Large Sample Null Distribution; 7.3 Consistency of Tests of the Class κ; 7.4 Efficiencies of Tests of the Class κ; 7.5 Some Versatile Test Procedures; 7.6 Bibliographic Notes; 8. Distribution Theory for Proportional Hazards Regression; 8.1 Introduction; 8.2 The Partial Likelihood Score Statistic; 8.3 Estimators of the Regression Parameters and the Cumulative Hazard Function; 8.4 The Asymptotic Theory for Simple Models; 8.5 Asymptotic Relative Efficiency of Partial Likelihood Inference in the Proportional Hazards Model; 8.6 Bibliographic NotesAppendix A. Some Results from Stieltjes Integration and Probability Theory; Appendix B. An Introduction to Weak Convergence; Appendix C. The Martingale Central Limit Theorem: Some Preliminaries; Appendix D. Data; Appendix E. Exercises; Bibliography; Notation; Author Index; Subject Index
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