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Biostatistics Advance Access originally published online on November 10, 2005
Biostatistics 2006 7(2):252-267; doi:10.1093/biostatistics/kxj005
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© The Author 2005. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org.

One- and two-sample nonparametric inference procedures in the presence of a mixture of independent and dependent censoring

Yuhyun Park

Department of Biostatistics, Harvard University, 677 Huntington Avenue, Boston, MA 02115, USA

Lu Tian

Department of Preventive Medicine, Northwestern University, 680 North Lake Shore Drive, Suite 1102, Chicago, IL 60611, USA

L. J. Wei*

Department of Biostatistics, Harvard University, 677 Huntington Avenue, Boston, MA 02115, USA wei{at}sdac.harvard.edu

* To whom correspondence should be addressed.

In survival analysis, the event time T is often subject to dependent censorship. Without assuming a parametric model between the failure and censoring times, the parameter {Theta} of interest, for example, the survival function of T, is generally not identifiable. On the other hand, the collection {Omega} of all attainable values for {Theta} may be well defined. In this article, we present nonparametric inference procedures for {Omega} in the presence of a mixture of dependent and independent censoring variables. By varying the criteria of classifying censoring to the dependent or independent category, our proposals can be quite useful for the so-called sensitivity analysis of censored failure times. The case that the failure time is subject to possibly dependent interval censorship is also discussed in this article. The new proposals are illustrated with data from two clinical studies on HIV-related diseases.

Keywords: Competing risks; Martingale; Sensitivity analysis; Simultaneous confidence interval; Survival analysis


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