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The estimation for the general additive–multiplicative hazard model using the length-biased survival data

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  • Chengbo Li

    (Dongbei University of Finance and Economics)

  • Yong Zhou

    (Ministry of Education
    East China Normal University)

Abstract

We use the general additive–multiplicative hazard model to analyze the length biased data with right censorship and use the estimating equation method that incorporates the information about length-biased sampling scheme to do the inference. In addition, some graphical and numerical methods are developed for assessing the adequacy of the general additive–multiplicative hazard model. The procedures are derived from cumulative sums of martingale-based residuals over follow-up time and covariate values. The simulations are conducted to insure the good performance of this method. An application to the Oscar data is also illustrated.

Suggested Citation

  • Chengbo Li & Yong Zhou, 2021. "The estimation for the general additive–multiplicative hazard model using the length-biased survival data," Statistical Papers, Springer, vol. 62(1), pages 53-74, February.
    • Handle: RePEc:spr:stpapr:v:62:y:2021:i:1:d:10.1007_s00362-018-01079-3
    DOI: 10.1007/s00362-018-01079-3
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    References listed on IDEAS

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