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Semiparametric regression analysis for doubly censored data

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  • T. Cai

Abstract

We analyse doubly censored data using semiparametric transformation models. We provide inference procedures for the regression parameters and derive the asymptotic distributions of the proposed estimators. Procedures for model checking and model selection are also discussed. We illustrate our approach with a viral-load dataset from a recent AIDS clinical trial. Copyright Biometrika Trust 2004, Oxford University Press.

Suggested Citation

  • T. Cai, 2004. "Semiparametric regression analysis for doubly censored data," Biometrika, Biometrika Trust, vol. 91(2), pages 277-290, June.
    • Handle: RePEc:oup:biomet:v:91:y:2004:i:2:p:277-290
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    Cited by:

    1. Hanieh Panahi, 2019. "Estimation for the parameters of the Burr Type XII distribution under doubly censored sample with application to microfluidics data," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(4), pages 510-518, August.
    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. Shuang Ji & Limin Peng & Yu Cheng & HuiChuan Lai, 2012. "Quantile Regression for Doubly Censored Data," Biometrics, The International Biometric Society, vol. 68(1), pages 101-112, March.
    4. Tomoyuki Sugimoto, 2013. "Asymptotic distribution of the nonparametric distribution estimator based on a martingale approach in doubly censored data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(5), pages 859-888, October.
    5. Kim, Yongdai & Kim, Bumsoo & Jang, Woncheol, 2010. "Asymptotic properties of the maximum likelihood estimator for the proportional hazards model with doubly censored data," Journal of Multivariate Analysis, Elsevier, vol. 101(6), pages 1339-1351, July.
    6. Lin, Guixian & He, Xuming & Portnoy, Stephen, 2012. "Quantile regression with doubly censored data," Computational Statistics & Data Analysis, Elsevier, vol. 56(4), pages 797-812.
    7. Pao-sheng Shen, 2014. "Semiparametric regression analysis for clustered doubly-censored data," Computational Statistics, Springer, vol. 29(3), pages 813-828, June.
    8. Yu, Binbing, 2010. "A Bayesian MCMC approach to survival analysis with doubly-censored data," Computational Statistics & Data Analysis, Elsevier, vol. 54(8), pages 1921-1929, August.
    9. Shuwei Li & Jianguo Sun & Tian Tian & Xia Cui, 2020. "Semiparametric regression analysis of doubly censored failure time data from cohort studies," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 26(2), pages 315-338, April.
    10. Pao-sheng Shen, 2012. "Analysis of left-truncated right-censored or doubly censored data with linear transformation models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(3), pages 584-603, September.
    11. Sangbum Choi & Xuelin Huang, 2012. "A General Class of Semiparametric Transformation Frailty Models for Nonproportional Hazards Survival Data," Biometrics, The International Biometric Society, vol. 68(4), pages 1126-1135, December.
    12. 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.
    13. Rafael Weißbach & Yongdai Kim & Achim Dörre & Anne Fink & Gabriele Doblhammer, 2021. "Left-censored dementia incidences in estimating cohort effects," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 27(1), pages 38-63, January.
    14. X. Joan Hu & Rhonda J. Rosychuk, 2016. "Marginal regression analysis of recurrent events with coarsened censoring times," Biometrics, The International Biometric Society, vol. 72(4), pages 1113-1122, December.
    15. Kim, Yongdai & Kim, Joungyoun & Jang, Woncheol, 2013. "An EM algorithm for the proportional hazards model with doubly censored data," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 41-51.
    16. Choi, Taehwa & Kim, Arlene K.H. & Choi, Sangbum, 2021. "Semiparametric least-squares regression with doubly-censored data," Computational Statistics & Data Analysis, Elsevier, vol. 164(C).
    17. Jun Yan & Yu Cheng & Jason P. Fine & HuiChuan J. Lai, 2010. "Uncovering Symptom Progression History from Disease Registry Data with Application to Young Cystic Fibrosis Patients," Biometrics, The International Biometric Society, vol. 66(2), pages 594-602, June.

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