Locally Efficient Semiparametric Estimators for Proportional Hazards Models with Measurement Error.

ABSTRACT: We propose a new class of semiparametric estimators for proportional hazards models in the presence of measurement error in the covariates, where the baseline hazard function, the hazard function for the censoring time, and the distribution of the true covariates are considered as unknown infinite dimensional parameters. We estimate the model components by solving estimating equations based on the semiparametric efficient scores under a sequence of restricted models where the logarithm of the hazard functions are approximated by reduced rank regression splines. The proposed estimators are locally efficient in the sense that the estimators are semiparametrically efficient if the distribution of the error-prone covariates is specified correctly, and are still consistent and asymptotically no

SUBMITTER: Xu Y 

PROVIDER: S-EPMC4955637 | biostudies-literature | 2016 Jun

REPOSITORIES: biostudies-literature