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A Journal of Theoretical and Applied Statistics
Volume 48, 2014 - Issue 2
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Original Articles

Correcting the bias due to dependent censoring of the survival estimator by conditioning

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Pages 295-314 | Received 11 Dec 2010, Accepted 16 Jul 2012, Published online: 18 Sep 2012

References

  • C. Serrat and G. Gómez, Nonparametric bivariate estimation for successive survival times, SORT, Statist. Oper. Res. Trans. 31 (2007), pp. 75–96.
  • K. Langohr, G. Gómez, and R. Muga, A parametric survival model with an interval-censored covariate, Stat. Med. 23 (2004), pp. 3159–3175. doi: 10.1002/sim.1892
  • S.-H. Chang and S.-J. Tzeng, Nonparametric estimation of sojourn time distributions for truncated serial event data – a weight-adjusted approach, Lifetime Data Anal. 12 (2006), pp. 53–67. doi: 10.1007/s10985-005-7220-9
  • A. Salvador, T. Sanz, and S.M. Fiszman, Changes in colour and texture and their relationship with eating quality during storage of two different dessert bananas, Postharvest Biol. Technol. 43 (2007), pp. 319–325. doi: 10.1016/j.postharvbio.2006.10.007
  • J.F. Lawless, Statistical Models and Methods for Lifetime Data, 2nd ed., Wiley Series in Probability and Statistics, John Wiley & Sons, Hoboken, NJ, 2003.
  • R.J. Cook and J.F. Lawless, The Statistical Analysis of Recurrent Events, Springer-Verlag, New York, 2007.
  • M. Visser, Nonparametric estimation of the bivariate survival function with an application to vertically transmitted AIDS, Biometrika 83 (1996), pp. 507–518. doi: 10.1093/biomet/83.3.507
  • M.-C. Wang and M.T. Wells, Nonparametric estimation of successive duration times under dependent censoring, Biometrika 85 (1998), pp. 561–572. doi: 10.1093/biomet/85.3.561
  • D.Y. Lin, W. Sun, and Z. Ying, Nonparametric estimation of the gap time distributions for serial events with censored data, Biometrika 86 (1999), pp. 59–70. doi: 10.1093/biomet/86.1.59
  • D.E. Schaubel and J. Cai, Non-parametric estimation of gap time survival functions for ordered multivariate failure time data, Stat. Med. 23 (2004), pp. 1885–1900. doi: 10.1002/sim.1777
  • D.E. Schaubel and J. Cai, Regression methods for gap time hazard functions of sequentially ordered multivariate failure time data, Biometrika 91 (2004), pp. 291–303. doi: 10.1093/biomet/91.2.291
  • L. Ruiz, R. Paredes, G. Gómez, J. Romeu, P. Domingo, N. Pérez-Alvarez, G. Tambussi, J.M. Llibre, J. Martínez-Picado, F. Vidal, C.R. Fumaz, B. Clotet, and TIBET Study Group, Antiretroviral therapy interruption guided by CD4 T cell counts and plasma HIV-1 RNA levels in chronically HIV-1 infected patients, AIDS 21 (2007), pp. 169–178. doi: 10.1097/QAD.0b013e328011033a
  • M. Schemper and T.L. Smith, A note on quantifying follow-up in studies of failure time, Controlled Clin. Trials 17 (1996), pp. 343–346. doi: 10.1016/0197-2456(96)00075-X
  • P. Andersen, O. Borgan, R. Gill, and N. Keiding, Statistical Models Based on Counting Processes, Springer-Verlag, New York, 1993.
  • A.W. van der Vaart and J.A. Wellner, Weak Convergence and Empirical Processes. With Applications to Statistics, Springer-Verlag, New York, 1996.
  • B. Efron and R.J. Tibshirani, An Introduction to the Bootstrap, Chapman & Hall/CRC, Boca Raton, FL, 1993.
  • D.G. Clayton, A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence, Biometrika 65 (1978), pp. 141–151. doi: 10.1093/biomet/65.1.141

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