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Journal of the American Statistical Association Volume 77, 1982 - Issue 377
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Theory and Method

Small-Sample Results for the Kaplan-Meier Estimator

Y. Y. Chen Department of Mathematics, Syracuse University, Syracuse, NY, 13210, USA
,
M. Hollander Department of Statistics, Florida State University, Tallahassee, FL, 32306, USA; Department of Family, Community, and Preventive Medicine, Stanford University, Stanford, CA, 94305, USA
&
N. A. Langberg Department of Statistics, Haifa University, Israel
Pages 141-144 | Received 01 Jul 1980, Published online: 12 Mar 2012

References

  • Allen , W. R. 1963 . “A Note on Conditional Probability of Failure When Hazards are Proportional,” . Operations Research , 11 : 658 – 659 .
  • Breslow , N. and Crowley , J. 1974 . “A Large Sample Study of the Life Table and Product Limit Estimates Under Random Censorship,” . Annals of Statistics , 2 : 437 – 453 .
  • Efron , B. “The Two Sample Problem With Censored Data,” . Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability . Vol. 4 , pp. 831 – 852 .
  • Kaplan , E. L. and Meier , P. 1958 . “Nonparametric Estimation From Incomplete Observations,” . Journal of the American Statistical Association , 53 : 457 – 481 .
  • Koziol , J. A. and Green , S. B. 1976 . “A Cramér-von Mises Statistic for Randomly Censored Data,” . Biometrika , 63 : 465 – 474 .
  • Langberg , N. A. , Proschan , F. and Quinzi , A. T. 1981 . “Estimating Dependent Life Lengths With Applications to the Theory of Competing Risks,” . Annals of Statistics , 9 : 152 – 167 .
  • Meier , P. 1975 . “Estimation of a Distribution Function From Incomplete Observations,” . In Perspectives in Probability and Statistics , Edited by: Gani , J. 67 – 87 . Sheffield , , England : Applied Probability Trust .
  • Peterson , A. V. 1977 . “Expressing the Kaplan-Meier Estimator as a Function of Empirical Subsurvival Functions,” . Journal of the American Statistical Association , 72 : 854 – 858 .

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