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Semiparametric regression analysis of mean residual life with censored survival data

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  • Y. Q. Chen
  • S. Cheng

Abstract

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. Copyright 2005, Oxford University Press.

Suggested Citation

  • Y. Q. Chen & S. Cheng, 2005. "Semiparametric regression analysis of mean residual life with censored survival data," Biometrika, Biometrika Trust, vol. 92(1), pages 19-29, March.
    • Handle: RePEc:oup:biomet:v:92:y:2005:i:1:p:19-29
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    File URL: http://hdl.handle.net/10.1093/biomet/92.1.19
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    Citations

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    Cited by:

    1. Peng Jin & Anne Zeleniuch-Jacquotte & Mengling Liu, 2020. "Generalized mean residual life models for case-cohort and nested case-control studies," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 26(4), pages 789-819, October.
    2. Zahra Mansourvar & Torben Martinussen & Thomas H. Scheike, 2016. "An Additive–Multiplicative Restricted Mean Residual Life Model," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 43(2), pages 487-504, June.
    3. Yixin Wang & Ying Qing Chen, 2019. "Estimating Attributable Life Expectancy Under the Proportional Mean Residual Life Model," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 11(3), pages 659-676, December.
    4. V. N. Sreeja & P. G. Sankaran, 2007. "Proportional mean residual life model for gap time distributions of recurrent events," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 319-336.
    5. Zahra Mansourvar & Torben Martinussen & Thomas H. Scheike, 2015. "Semiparametric regression for restricted mean residual life under right censoring," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(12), pages 2597-2613, December.
    6. Peng Liu & Kwun Chuen Gary Chan & Ying Qing Chen, 2023. "On a simple estimation of the proportional odds model under right truncation," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 29(3), pages 537-554, July.
    7. Peng Liu & Yixin Wang & Yong Zhou, 2015. "Quantile residual lifetime with right-censored and length-biased data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 67(5), pages 999-1028, October.
    8. Xiaolin Chen & Qihua Wang, 2013. "Semiparametric proportional mean residual life model with covariates missing at random," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 25(3), pages 647-663, September.
    9. Ruiwen Zhou & Jianguo Sun, 2022. "Estimation of the Proportional Mean Residual Life Model with Internal and Longitudinal Covariates," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 14(3), pages 550-563, December.
    10. Yang, Guangren & Zhou, Yong, 2014. "Semiparametric varying-coefficient study of mean residual life models," Journal of Multivariate Analysis, Elsevier, vol. 128(C), pages 226-238.

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