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Survival Analysis and Reliability

Estimators for Survival Function when Censoring Times are Known

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Pages 449-459 | Received 05 Nov 2004, Accepted 09 Jun 2004, Published online: 26 Dec 2007

References

  • Breslow , N. and Crowley , J. 1974 . A large sample study of the life table and product limit estimates under random censorship . Ann. Statist. , 2 : 437 – 453 .
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  • Gill , R. D. 1981 . Censoring and Stochastic Integrals , Amsterdam : Mathematical Centre Tracts, 124, Mathematisch Centrum .
  • Kaplan , E. L. and Meier , P. 1958 . Nonparametric estimation from incomplete observations . J. Ameri. Statist. Assoc. , 53 : 457 – 481 .
  • Rossa , A. 2002 . On the estimation of survival function under random censorship . Comm. Statist. Theor. Meth. , 31 : 961 – 975 .
  • Rossa , A. and Zieliński , R. 2002 . A simple improvement of the Kaplan-Meier estimator . Comm. Statist. Theor. Meth. , 31 : 147 – 158 .
  • Strawderman , R. L. 2000 . Estimating the mean of an increasing stochastic process at a censored stopping time . J. Amer. Statist. Assoc. , 95 : 1192 – 1208 .
  • Tsai , W-Y. and Crowley , J. 1998 . A note on nonparametric estimators of the bivariate survival function under univariate censoring . Biometrika , 85 : 573 – 580 .

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