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Regression Analysis for the Additive Hazards Model with General Biased Survival Data

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Abstract

In survival analysis, data are frequently collected by some complex sampling schemes, e.g., length biased sampling, case-cohort sampling and so on. In this paper, we consider the additive hazards model for the general biased survival data. A simple and unified estimating equation method is developed to estimate the regression parameters and baseline hazard function. The asymptotic properties of the resulting estimators are also derived. Furthermore, to check the adequacy of the fitted model with general biased survival data, we present a test statistic based on the cumulative sum of the martingale-type residuals. Simulation studies are conducted to evaluate the performance of proposed methods, and applications to the shrub and Welsh Nickel Refiners datasets are given to illustrate the methodology.

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Authors and Affiliations

  1. School of Statistics, Qufu Normal University, Qufu, 273165, China

    Xiao-lin Chen

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  1. Xiao-lin Chen
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Correspondence to Xiao-lin Chen.

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Chen, Xl. Regression Analysis for the Additive Hazards Model with General Biased Survival Data. Acta Math. Appl. Sin. Engl. Ser. 36, 545–556 (2020). https://doi.org/10.1007/s10255-020-0949-9

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  • DOI: https://doi.org/10.1007/s10255-020-0949-9

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