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Biometrika Advance Access originally published online on February 28, 2007
Biometrika 2007 94(2):359-369; doi:10.1093/biomet/asm016
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Copyright © 2007 Biometrika Trust

Articles

Additive hazard regression with auxiliary covariates

Jiancheng Jiang and Zhou Haibo

Department of Mathematics and Statistics, University of North Carolina, Charlotte, North Carolina 28223, U.S.A.
Department of Biostatistics, University of North Carolina, Chapel Hill, North Carolina 27599, U.S.A.

jjiang1{at}uncc.edu

zhou{at}bios.unc.edu

Received for publication 1 September 2005. Revision received 1 July 2006.
  Abstract

We consider the additive hazard model when some of the true covariates are measured only on a randomly selected validation set whereas auxiliary covariates are observed for all study subjects. An updated pseudoscore estimation approach is proposed for the parameters of the additive hazard model. It allows one to fit the model with auxiliary covariates, while leaving the baseline hazard unspecified. Asymptotic properties of the proposed estimators are established, and consistent standard error estimators are developed. Simulations demonstrate that the asymptotic approximations of the proposed estimates are adequate for practical use. A real example is used to illustrate the performance of the proposed method.

Key Words: auxiliary covariate • censoring • failure time • pseudoscore • validation


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