Publication Cover
Statistics
A Journal of Theoretical and Applied Statistics
Volume 58, 2024 - Issue 2
39
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Augmented inverse probability weighted estimation and prediction for cause-specific proportional hazards regression with missing covariates

Pages 383-406 | Received 23 Sep 2023, Accepted 08 Apr 2024, Published online: 24 Apr 2024

References

  • Cox DR. Regression models and life-tables (with discussion). J R Stat Soc Ser A. 1972;34:187–220.
  • Prentice RL, Kalbfleisch JD, Peterson AV, et al. The analysis of failure times in the presence of competing risks. Biometrics. 1978;34:541–554. doi: 10.2307/2530374
  • Fine JP, Gray RJ. A proportional hazards model for the subdistribution of a competing risk. J Am Stat Assoc. 1999;94:496–508. doi: 10.1080/01621459.1999.10474144
  • Robins JM, Rotnitzky A, Zhao LP. Estimation of regression coefficients when some regressors are not always observed. J Am Stat Assoc. 1994;89:846–866. doi: 10.1080/01621459.1994.10476818
  • Wang CY, Chen HY. Augmented inverse probability weighted estimator for Cox missing covariate regression. Biometrics. 2001;57:414–419. doi: 10.1111/j.0006-341x.2001.00414.x
  • Qi L, Wang CY, Prentice RL. Weighted estimators for proportional hazards regression with missing covariates. J Am Stat Assoc. 2005;472:1250–1263. doi: 10.1198/016214505000000295
  • Bartlett JW, Taylor JM. Missing covariates in competing risks analysis. Biostatistics. 2016;17:751–763. doi: 10.1093/biostatistics/kxw019
  • Bonneville EF, Resche-Rigon M, Schetelig J, et al. Multiple imputation for cause-specific Cox models: assessing methods for estimation and prediction. Stat Methods Med Res. 2022;31:1860–1880. doi: 10.1177/09622802221102623
  • Lee U, Sun Y, Scheike TH, et al. Analysis of generalized semiparametric regression models for cumulative incidence functions with missing covariates. Comput Stat Data Anal. 2018;122:59–79. doi: 10.1016/j.csda.2018.01.003
  • Andersen PK, Gill RD. Cox's regression model for counting processes: a large sample study. Ann Stat. 1982;10:1100–1120. doi: 10.1214/aos/1176345976
  • Cheng SC, Fine JP, Wei LJ. Prediction of cumulative incidence function under the proportional hazards model. Biometrics. 1998;54:219–228. doi: 10.2307/2534009
  • Breslow NE. Covariance analysis of censored survival data. Biometrics. 1974;30:89–99. doi: 10.2307/2529620
  • Rubin DB. Inference and missing data. Biometrika. 1976;63:581–592. doi: 10.1093/biomet/63.3.581
  • Nadaraya EA. On estimating regression. Theory Probab Appl. 1964;9:141–142. doi: 10.1137/1109020
  • Watson GS. Smooth regression analysis. Sankhya A. 1964;26:359–372.
  • Wang S, Wang CY. A note on kernel assisted estimators in missing covariate regression. Stat Probab Lett. 2001;55:439–449. doi: 10.1016/S0167-7152(01)00167-5
  • Jin J, Ye P, Sun L. A class of weighted estimating equations for additive hazards models with covariates missing at random. Sci China Math. 2022;65:583–602. doi: 10.1007/s11425-019-1699-4
  • Lin DY, Ying Z. Semiparametric analysis of the additive risk model. Biometrics. 1994;81:61–71. doi: 10.1093/biomet/81.1.61
  • Qi L, Zhang X, Sun Y, et al. Weighted estimating equations for additive hazards models with missing covariates. Ann Inst Stat Math. 2019;71:365–387. doi: 10.1007/s10463-018-0648-y
  • Shen Y, Cheng SC. Confidence bands for cumulative incidence curves under the additive risk model. Biometrics. 1999;55:1093–1100. doi: 10.1111/biom.1999.55.issue-4

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.