Product-limit Estimators and Cox Regression with Missing Censoring Information

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34 Scopus Citations
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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)589-601
Journal / PublicationScandinavian Journal of Statistics
Volume25
Issue number4
Publication statusPublished - Dec 1998
Externally publishedYes

Abstract

The Kaplan-Meier estimator of a survival function requires that the censoring indicator is always observed. A method of survival function estimation is developed when the censoring indicators are missing completely at random (MCAR). The resulting estimator is a smooth functional of the Nelson-Aalen estimators of certain cumulative transition intensities. The asymptotic properties of this estimator are derived. A simulation study shows that the proposed estimator has greater efficiency than competing MCAR-based estimators. The approach is extended to the Cox model setting for the estimation of a conditional survival function given a covariate.

Research Area(s)

  • Counting processes, Incomplete data, Nelson-Aalen estimators, Product integral, Right censorship

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