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Biometrika 2005 92(1):19-29; doi:10.1093/biomet/92.1.19
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© 2005 Biometrika Trust

Semiparametric regression analysis of mean residual life with censored survival data

Y. Q. Chen1 and S. Cheng2

1 Program in Biostatistics, Division of Public Health Sciences, Fred Hutchinson Cancer Research Center, Seattle, Washington 98109, U.S.A. yqchen{at}scharp.org, 2 Department of Epidemiology and Biostatistics, University of California, San Francisco, California 94143, U.S.A. scheng{at}biostat.ucsf.edu

As function of time t, a mean residual life is the remaining life expectancy of a subject given survival up to t. The proportional mean residual life model, proposed by Oakes & Dasu (1990), provides an alternative to the Cox proportional hazards model for studying the association between survival times and covariates. In the presence of censoring, we use counting process theory to develop semiparametric inference procedures for the regression coefficients of the Oakes–Dasu model. Simulation studies and an application to the well-known Veterans' Administration lung cancer survival data are presented.

Key Words: Counting process; Estimating equation; Failure time; Life expectancy; Proportional model; Stochastic process

Received April 2003. Revised June 2004.


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