Augmented Inverse Probability Weighted Estimator for Cox Missing Covariate Regression
- 1 June 2001
- journal article
- Published by Oxford University Press (OUP) in Biometrics
- Vol. 57 (2) , 414-419
- https://doi.org/10.1111/j.0006-341x.2001.00414.x
Abstract
Summary.This article investigates an augmented inverse selection probability weighted estimator for Cox regression parameter estimation when covariate variables are incomplete. This estimator extends the Horvitz and Thompson (1952,Journal of the American Statistical Association47, 663–685) weighted estimator. This estimator is doubly robust because it is consistent as long as either the selection probability model or the joint distribution of covariates is correctly specified. The augmentation term of the estimating equation depends on the baseline cumulative hazard and on a conditional distribution that can be implemented by using an EM‐type algorithm. This method is compared with some previously proposed estimators via simulation studies. The method is applied to a real example.Keywords
This publication has 16 references indexed in Scilit:
- Expected Estimating Equations to Accommodate Covariate Measurement ErrorJournal of the Royal Statistical Society Series B: Statistical Methodology, 2000
- Proportional Hazards Regression with Missing CovariatesJournal of the American Statistical Association, 1999
- Proportional Hazards Regression with Missing CovariatesJournal of the American Statistical Association, 1999
- Weighted Semiparametric Estimation in Regression Analysis with Missing Covariate DataJournal of the American Statistical Association, 1997
- Weighted Semiparametric Estimation in Regression Analysis With Missing Covariate DataJournal of the American Statistical Association, 1997
- Estimation of Regression Coefficients When Some Regressors are not Always ObservedJournal of the American Statistical Association, 1994
- Estimation of Regression Coefficients When Some Regressors Are Not Always ObservedJournal of the American Statistical Association, 1994
- Cox Regression with Incomplete Covariate MeasurementsJournal of the American Statistical Association, 1993
- A Generalization of Sampling Without Replacement from a Finite UniverseJournal of the American Statistical Association, 1952