An Additive-Multiplicative Restricted Mean Residual Life Model

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The mean residual life measures the expected remaining life of a subject who has survived up to a particular time. When survival time distribution is highly skewed or heavy tailed, the restricted mean residual life must be considered. In this paper, we propose an additive-multiplicative restricted mean residual life model to study the association between the restricted mean residual life function and potential regression covariates in the presence of right censoring. This model extends the proportional mean residual life model using an additive model as its covariate dependent baseline. For the suggested model, some covariate effects are allowed to be time-varying. To estimate the model parameters, martingale estimating equations are developed, and the large sample properties of the resulting estimators are established. In addition, to assess the adequacy of the model, we investigate a goodness of fit test that is asymptotically justified. The proposed methodology is evaluated via simulation studies and further applied to a kidney cancer data set collected from a clinical trial.

Original languageEnglish
JournalScandinavian Journal of Statistics
Issue number2
Pages (from-to)487-504
Number of pages18
Publication statusPublished - Jun 2016

    Research areas

  • Additive model, Counting process, Martingale estimating equation, Model checking, Proportional model, Restricted mean residual life, Right censoring, Time-varying effect

ID: 161793237