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Semiparametric regression analysis for clustered doubly-censored data

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  • Pao-sheng Shen

Abstract

This paper considers clustered doubly-censored data that occur when there exist several correlated survival times of interest and only doubly censored data are available for each survival time. In this situation, one approach is to model the marginal distribution of failure times using semiparametric linear transformation models while leaving the dependence structure completely arbitrary. We demonstrate that the approach of Cai et al. (Biometrika 87:867–878, 2000 ) can be extended to clustered doubly censored data. We propose two estimators by using two different estimated censoring weights. A simulation study is conducted to investigate the proposed estimators. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Pao-sheng Shen, 2014. "Semiparametric regression analysis for clustered doubly-censored data," Computational Statistics, Springer, vol. 29(3), pages 813-828, June.
    • Handle: RePEc:spr:compst:v:29:y:2014:i:3:p:813-828
    DOI: 10.1007/s00180-013-0462-1
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    References listed on IDEAS

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    1. Cai T. & Cheng S.C. & Wei L.J., 2002. "Semiparametric Mixed-Effects Models for Clustered Failure Time Data," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 514-522, June.
    2. Pao-Sheng Shen, 2012. "Semiparametric mixed-effects models for clustered doubly censored data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(9), pages 1881-1892, April.
    3. Pao-sheng Shen, 2011. "Semiparametric analysis of transformation models with left-truncated and right-censored data," Computational Statistics, Springer, vol. 26(3), pages 521-537, September.
    4. T. Cai, 2004. "Semiparametric regression analysis for doubly censored data," Biometrika, Biometrika Trust, vol. 91(2), pages 277-290, June.
    5. Pao-Sheng Shen, 2011. "Semiparametric analysis of transformation models with doubly censored data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(4), pages 675-682, November.
    6. Kani Chen, 2002. "Semiparametric analysis of transformation models with censored data," Biometrika, Biometrika Trust, vol. 89(3), pages 659-668, August.
    7. D. Zeng & D. Y. Lin, 2007. "Maximum likelihood estimation in semiparametric regression models with censored data," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 69(4), pages 507-564, September.
    8. Shen, Pao-sheng, 2009. "An inverse-probability-weighted approach to the estimation of distribution function with doubly censored data," Statistics & Probability Letters, Elsevier, vol. 79(9), pages 1269-1276, May.
    Full references (including those not matched with items on IDEAS)

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