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A Large Sample Study of Cox's Regression Model
Open accessAbstract
Strong consistency and asymptotic normality are established for the maximum partial likelihood estimate of the regression parameter in Cox's regression model. Estimates are also derived for the underlying cumulative hazard function and survival distribution. We establish the asymptotic normality of these estimates and calculate the limiting variances.
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Citations
Cited by
Cox’s regression model for counting processes: A large sample study
Andersen, P. K., & Gill, R. D. (1982) · The Annals of Statistics · doi:10.1214/aos/1176345976 · Cited by 4,419
The Robust Inference for the Cox Proportional Hazards Model
Lin, D. Y., & Wei, L. J. (1989) · Journal of the American Statistical Association · doi:10.1080/01621459.1989.10478874 · Cited by 2,695
Peduzzi, P., Concato, J., Feinstein, A. R., & Holford, T. R. (1995) · Journal of Clinical Epidemiology · doi:10.1016/0895-4356(95)00048-8 · Cited by 2,154
Checking the Cox model with cumulative sums of martingale-based residuals
LIN, D. Y., WEI, L. J., & YING, Z. (1993) · Biometrika · doi:10.1093/biomet/80.3.557 · Cited by 1,432
Murphy, S. A., & Van Der Vaart, A. W. (2000) · Journal of the American Statistical Association · doi:10.1080/01621459.2000.10474219 · Cited by 712
Metadata
- Authors
- Tsiatis, A. A.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1981-01-01
- Volume
- 9
- Issue
- 1
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W2138646672
- Cited by
- 476
- References
- 0
- FWCI
- 19.55
- Type
- journal article
- Language
- en
- Open access
- bronze
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