Semiparametric regression for restricted mean residual life under right censoring |
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Authors: | Zahra Mansourvar Torben Martinussen Thomas H Scheike |
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Institution: | 1. Department of Biostatistics, University of Copenhagen, ?ster Farimagsgade 5, 1014 Copenhagen, Denmarkzahra.mansourvar@sund.ku.dk;3. Department of Biostatistics, University of Copenhagen, ?ster Farimagsgade 5, 1014 Copenhagen, Denmark |
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Abstract: | A mean residual life function (MRLF) is the remaining life expectancy of a subject who has survived to a certain time point. In the presence of covariates, regression models are needed to study the association between the MRLFs and covariates. If the survival time tends to be too long or the tail is not observed, the restricted mean residual life must be considered. In this paper, we propose the proportional restricted mean residual life model for fitting survival data under right censoring. For inference on the model parameters, martingale estimating equations are developed, and the asymptotic properties of the proposed estimators are established. In addition, a class of goodness-of-fit test is presented to assess the adequacy of the model. The finite sample behavior of the proposed estimators is evaluated through simulation studies, and the approach is applied to a set of real life data collected from a randomized clinical trial. |
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Keywords: | counting process estimating equation approach model checking proportional model restricted mean residual life right censoring |
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