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An Additive Risks Regression Model for Middle-Censored Lifetime Data

Author

Listed:
  • Sankaran P. G.

    (Department of Statistics, Cochin University of Science and Technology, Kerala, India)

  • Prasad S.

    (Department of Statistics, Cochin University of Science and Technology, Kerala, India)

Abstract

Middle-censoring refers to data arising in situations where the exact lifetime of study subjects becomes unobservable if it happens to fall in a random censoring interval. In the present paper we propose a semiparametric additive risks regression model for analysing middle-censored lifetime data arising from an unknown population. We estimate the regression parameters and the unknown baseline survival function by two different methods. The first method uses the martingale-based theory and the second method is an iterative method. We report simulation studies to assess the finite sample behaviour of the estimators. Then, we illustrate the utility of the model with a real life data set. The paper ends with a conclusion.

Suggested Citation

  • Sankaran P. G. & Prasad S., 2017. "An Additive Risks Regression Model for Middle-Censored Lifetime Data," Statistics in Transition New Series, Polish Statistical Association, vol. 18(3), pages 459-479, September.
    • Handle: RePEc:vrs:stintr:v:18:y:2017:i:3:p:459-479:n:7
    DOI: 10.21307/stattrans-2016-081
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    References listed on IDEAS

    as
    1. Mangalam, Vasudevan & Nair, Gopalan M. & Zhao, Yun, 2008. "On computation of NPMLE for middle-censored data," Statistics & Probability Letters, Elsevier, vol. 78(12), pages 1452-1458, September.
    2. S. Rao Jammalamadaka & Sundaresan Nair Prasad & Paduthol Godan Sankaran, 2016. "A semi-parametric regression model for analysis of middle censored lifetime data," Statistica, Department of Statistics, University of Bologna, vol. 76(1), pages 27-40.
    3. Qiqing Yu & George Wong & Linxiong Li, 2001. "Asymptotic Properties of Self-Consistent Estimators with Mixed Interval-Censored Data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(3), pages 469-486, September.
    4. S. Rao Jammalamadaka & Elvynna Leong, 2015. "Analysis of discrete lifetime data under middle-censoring and in the presence of covariates," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(4), pages 905-913, April.
    Full references (including those not matched with items on IDEAS)

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