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Analysis of left-truncated right-censored or doubly censored data with linear transformation models

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  • Pao-sheng Shen

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    Abstract

    We analyze left-truncated right-censored (LTRC) data or doubly censored data using semiparametric transformation models. It is demonstrated that the extended estimating equations of both Cheng et al. (Biometrika 82:835–845, 1995 ) and Chen et al. (Biometrika 89:659–668, 2002 ) can be used to analyze LTRC data or doubly censored data when left-censored variables are always observed. The asymptotic properties of the proposed estimators are derived. A simulation study is conducted to investigate the performance of the proposed estimators. Copyright Sociedad de Estadística e Investigación Operativa 2012

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    File URL: http://hdl.handle.net/10.1007/s11749-011-0263-1
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    Bibliographic Info

    Article provided by Springer in its journal TEST.

    Volume (Year): 21 (2012)
    Issue (Month): 3 (September)
    Pages: 584-603

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    Handle: RePEc:spr:testjl:v:21:y:2012:i:3:p:584-603

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    Related research

    Keywords: Left-truncation; Left-censoring; Semiparametric transformation model; 62N01; 62N02;

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    1. Kani Chen, 2002. "Semiparametric analysis of transformation models with censored data," Biometrika, Biometrika Trust, vol. 89(3), pages 659-668, August.
    2. 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.
    3. T. Cai, 2004. "Semiparametric regression analysis for doubly censored data," Biometrika, Biometrika Trust, vol. 91(2), pages 277-290, June.
    4. 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.
    5. Mandel, Micha, 2007. "Censoring and TruncationHighlighting the Differences," The American Statistician, American Statistical Association, vol. 61, pages 321-324, November.
    6. 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.
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