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Counting Processes and Survival Analysis.
Abstract
Preface. 0. The Applied Setting. 1. The Counting Process and Martingale Framework. 2. Local Square Integrable Martingales. 3. Finite Sample Moments and Large Sample Consistency of Tests and Estimators. 4. Censored Data Regression Models and Their Application. 5. Martingale Central Limit Theorem. 6. Large Sample results of the Kaplan-Meier Estimator. 7. Weighted Logrank Statistics. 8. Distribution Theory for Proportional Hazards Regression. Appendix 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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Cited by
A Proportional Hazards Model for the Subdistribution of a Competing Risk
Fine, J. P., & Gray, R. J. (1999) · Journal of the American Statistical Association · doi:10.1080/01621459.1999.10474144 · Cited by 14,290
Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence
Singer, J. D., & Willett, J. B. (2003) · doi:10.1093/acprof:oso/9780195152968.001.0001 · Cited by 10,647
Lung cancer, cardiopulmonary mortality, and long-term exposure to fine particulate air pollution
Pope III, C. A. (2002) · JAMA · doi:10.1001/jama.287.9.1132 · Cited by 8,447
An association between air pollution and mortality in six U.S. cities
Dockery, D. W., Pope, C. A., Xu, X., Spengler, J. D., Ware, J. H., Fay, M. E., Ferris, B. G., & Speizer, F. E. (1993) · New England Journal of Medicine · doi:10.1056/nejm199312093292401 · Cited by 8,018
Proportional hazards tests and diagnostics based on weighted residuals
GRAMBSCH, P. M., & THERNEAU, T. M. (1994) · Biometrika · doi:10.1093/biomet/81.3.515 · Cited by 5,885
Metadata
- Authors
- Dabrowska, D. M., Fleming, T. R., & Harrington, D. P.
- Venue
- Journal of the American Statistical Association
- Publisher
- JSTOR
- Published
- 1992-12
- Volume
- 87
- Issue
- 420
- Pages
- 1244
- ISSN
- 0162-1459 (ISSN-L)
- OpenAlex
- W2057968703
- Cited by
- 2,271
- References
- 0
- FWCI
- 49.14
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
