Publication Cover
Sequential Analysis
Design Methods and Applications
Volume 27, 2008 - Issue 2
121
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Estimation of Survival Distributions Under Right-Censoring When Sample Size is Random

Pages 174-184 | Received 24 Jul 2007, Accepted 12 Feb 2008, Published online: 19 May 2008

REFERENCES

  • Aalen , O. ( 1978 ). Nonparametric Inference for a Family of Counting Processes , Annals of Statistics 6 : 701 – 726 .
  • Breslow , N. and Crowley , J. (1974). Large Sample Study of the Life Table and Product Limit Estimates under Random Censorship, Annals of Statistics 2:437–453.
  • Chang , M. N. ( 1991 ). Moments of the Kaplan–Meier Estimator , Sankhya, Series A 53 : 27 – 50 .
  • Chen , Y. Y. , Hollander , M. , and Langberg , N. A. ( 1982 ). Small-Sample Results for the Kaplan–Meier Estimator , Journal of American Statistical Association 77 : 141 – 144 .
  • Efron , B. ( 1967 ). The Two-Sample Problem with Censored Data , in Proceedings of Fifth Berkeley Symposium on Mathematical Statistics and Probability 4 , pp. 831 – 853 , Berkeley : University of California Press .
  • Gajek , L. and Gather , U. ( 1991 ). Estimating a Scale Parameter under Censorship , Statistics 22 : 529 – 549 .
  • Gardiner , J. C. and Susarla , V. ( 1983 ). Sequential Estimation of the Mean Survival Time under Random Censorship , Sequential Analysis 2 : 201 – 223 .
  • Gardiner , J. C. and Susarla , V. ( 1989 ). The Performance of a Sequential Procedure for the Estimation of the Median Survival Time with Specified Accuracy , Sequential Analysis 8 : 191 – 204 .
  • Kaplan , E. L. and Meier , P. ( 1958 ). Nonparametric Estimation from Incomplete Observations , Journal of American Statistical Association 53 : 457 – 481 .
  • Klein , J. P. ( 1991 ). Small Sample Moments of Some Estimators of the Va-riance of the Kaplan–Meier and Nelson–Aalen Estimators , Scandinavian Journal of Statistics 18 : 333 – 340 .
  • Nelson , W. ( 1969 ). Hazard Plotting for Incomplete Failure Data , Journal of Quality Technology 1 : 27 – 52 .
  • Pawlitschko , J. ( 1999 ). A Comparison of Survival Function Estimators in the Koziol–Green Model , Statistics 32 : 277 – 291 .
  • Peterson , A. V. ( 1977 ). Expressing the Kaplan–Meier Estimator as a Function of Empirical Subsurvival Functions , Journal of American Statistical Association 72 : 854 – 858 .
  • Rossa , A. ( 2005 ). Estimation of Survival Distributions under Right-Censoring and Applications , monograph , Łódź : University of Łódź Press (in Polish) .
  • Satten , G. A. and Datta , S. ( 2001 ). The Kaplan–Meier Estimator as an Inverse-Probability-of-Censoring Weighted Average , American Statistician 55 : 207 – 210 .
  • Stute , W. ( 1994a ). The Bias of Kaplan–Meier Integrals , Scandinavian Journal of Statistics 21 : 475 – 484 .
  • Stute , W. ( 1994b ). Improved Estimation under Random Censorship , Communications in Statistics—Theory & Methods 23 : 2671 – 2682 .
  • Winter , B. B. , Földes , A. , and Rejtö , L. ( 1978 ). Gliwienko–Cantelli Theorems for the PL Estimate , Problems of Control and Information Theory 7 : 213 – 225 .
  • Recommended by Hock Peng Chan

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.