Addititive hazards regression with missing censoring information

Xian Zhou, Liuquan Sun

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

In this article we study estimation in the additive hazards regression model with missing censoring indicators. We develop simple procedures to obtain consistent and efficient estimators for the regression parameters as well as the cumulative baseline hazard function, and derive their asymptotic properties. The
estimator of the regression parameters is shown to be asymptotically normally distributed, while the estimator of the cumulative baseline hazard function converges to a Gaussian process. We address both the situations where the mechanism for
missingness of the censoring indicators is independent of any other factors, and those in which the missingness may depend on the covariates. Monte Carlo studies are also conducted to evaluate the performance of the estimators.
Original languageEnglish
Pages (from-to)1237-1257
Number of pages21
JournalStatistica Sinica
Volume13
Issue number4
Publication statusPublished - 2003
Externally publishedYes

Keywords

  • Additive risk
  • censoring
  • estimating equation
  • incomplete data
  • Markov process
  • missing at random

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