The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Maximum Likelihood Estimation in the Proportional Odds Model
Abstract
We consider maximum likelihood estimation of the parameters in the proportional odds model with right-censored data. The estimator of the regression coefficient is shown to be asymptotically normal with efficient variance. The maximum likelihood estimator of the unknown monotonic transformation of the survival time converges uniformly at a parametric rate to the true transformation. Estimates for the standard errors of the estimated regression coefficients are obtained by differentiation of the profile likelihood and are shown to be consistent. A likelihood ratio test for the regression coefficient is also considered.
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Cites
Rudin, W. (1973) · Cited by 13,740
Weak Convergence and Empirical Processes
van der Vaart, A. W., & Wellner, J. A. (1996) · Springer Series in Statistics · doi:10.1007/978-1-4757-2545-2 · Cited by 5,014
Self-citationA Course in Probability Theory
(1974) · Elsevier eBooks · doi:10.1016/c2009-0-22097-6 · Cited by 2,668
Multivariate Generalizations of the Proportional Hazards Model
Clayton, D., & Cuzick, J. (1985) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2981943 · Cited by 625
Analysis of survival data by the proportional odds model
Bennett, S. (1983) · Statistics in Medicine · doi:10.1002/sim.4780020223 · Cited by 465
Analysis of transformation models with censored data
CHENG, S. C., WEI, L. J., & YING, Z. (1995) · Biometrika · doi:10.1093/biomet/82.4.835 · Cited by 453
Log-Logistic Regression Models for Survival Data
Bennett, S. (1983) · Applied Statistics · doi:10.2307/2347295 · Cited by 342
Consistency in a Proportional Hazards Model Incorporating a Random Effect
Murphy, S. A. (1994) · The Annals of Statistics · doi:10.1214/aos/1176325492 · Cited by 222
Self-citationA Semiparametric Proportional Odds Regression Model for the Analysis of Current Status Data
Rossini, A. J., & Tsiatis, A. A. (1996) · Journal of the American Statistical Association · doi:10.1080/01621459.1996.10476939 · Cited by 187
Self-citationEstimation and Testing in a Two-Sample Generalized Odds-Rate Model
Dabrowska, D. M., & Doksum, K. A. (1988) · Journal of the American Statistical Association · doi:10.1080/01621459.1988.10478657 · Cited by 180
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
Murphy, S. A., & Van Der Vaart, A. W. (2000) · Journal of the American Statistical Association · doi:10.1080/01621459.2000.10474219 · Cited by 712
Self-citationFrailty Models in Survival Analysis
Wienke, A. (2010) · Chapman & Hall/CRC eBooks · doi:10.1201/9781420073911 · Cited by 454
Metadata
- Authors
- Murphy, S. A., Rossini, A. J., & van der Vaart, A. W.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1997-09
- Volume
- 92
- Issue
- 439
- Pages
- 968-976
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2016681503
- Cited by
- 276
- References
- 15
- FWCI
- 6.84
- Type
- journal article
- Language
- en
- Open access
- closed
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