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Biometrika

Year: 2009  |  Volume: 96  |  Issue: 3  |  Page No.: 617 - 633

Pseudo-partial likelihood estimators for the Cox regression model with missing covariates

X Luo, W. Y Tsai and Q. Xu

Abstract

By embedding the missing covariate data into a left-truncated and right-censored survival model, we propose a new class of weighted estimating functions for the Cox regression model with missing covariates. The resulting estimators, called the pseudo-partial likelihood estimators, are shown to be consistent and asymptotically normal. A simulation study demonstrates that, compared with the popular inverse-probability weighted estimators, the new estimators perform better when the observation probability is small and improve efficiency of estimating the missing covariate effects. Application to a practical example is reported.

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